h1auts.tex
%-- H1AUTS Author list by names 
%-- Status: Wed Jun 20 09:24:27 MET DST 2001  Number of authors = 335 

C.~Adloff$^{33}$,              %WUPP-ST        01/96           Adloff              
V.~Andreev$^{24}$,             %LPI -PD        8/88            Andreev             
B.~Andrieu$^{27}$,             %ECPL-PD        8/88            Andrieu             
T.~Anthonis$^{4}$,             %ANTW-ST        11/99           Anthonis            
V.~Arkadov$^{35}$,             %ZEUT-LEFT      10/0            Arkadov             
A.~Astvatsatourov$^{35}$,      %ZEUT-ST        02/98           Astvatsatourov      
A.~Babaev$^{23}$,              %ITEP-PD        8/88            Babaev              
J.~B\"ahr$^{35}$,              %ZEUT-PD        8/88            Baehr               
P.~Baranov$^{24}$,             %LPI -PD        8/88            Baranovp            
E.~Barrelet$^{28}$,            %PARI-PD        11/99           Barrelet            
W.~Bartel$^{10}$,              %DESY-PD        8/88            Bartel              
P.~Bate$^{21}$,                %MANC-LEFT      08/0            Bate                
J.~Becker$^{37}$,              %ZUER-ST        12/00           Becker              
A.~Beglarian$^{34}$,           %YERE-PD        04/97           Beglarian           
O.~Behnke$^{13}$,              %HDB1-PD        5/97            Behnke              
C.~Beier$^{14}$,               %HDB2-LEFT      02/01           Beier               
A.~Belousov$^{24}$,            %LPI -PD        8/88            Belousov            
T.~Benisch$^{10}$,             %DESY-LEFT      08/00           Benisch             
Ch.~Berger$^{1}$,              %AAC1-PD        8/88            Berger              
T.~Berndt$^{14}$,              %HDB2-ST        04/98           Berndt              
J.C.~Bizot$^{26}$,             %ORSA-PD        8/88            Bizot               
J.~Boehme$^{}$,                %DESY-PD        11/0            Boehme              
V.~Boudry$^{27}$,              %ECPL-PD        1/93            Boudry              
W.~Braunschweig$^{1}$,         %AAC1-PD        8/88            Braunschweig        
V.~Brisson$^{26}$,             %ORSA-PD        8/88            Brisson             
H.-B.~Br\"oker$^{2}$,          %AAC3-ST        06/98           Broeker             
D.P.~Brown$^{10}$,             %DESY-PD        01/1            Brown               
W.~Br\"uckner$^{12}$,          %MPIH-LEFT      12/00           Brueckner           
D.~Bruncko$^{16}$,             %KOSI-PD        8/88            Bruncko             
J.~B\"urger$^{10}$,            %DESY-PD        8/88            Buerger             
F.W.~B\"usser$^{11}$,          %HAM2-PD        8/88            Buesser             
A.~Bunyatyan$^{12,34}$,        %MPIH-PD        12/95           Bunyatyan           
A.~Burrage$^{18}$,             %LIVE-ST        02/98           Burrage             
G.~Buschhorn$^{25}$,           %MPIM-PD        8/88            Buschhorn           
L.~Bystritskaya$^{23}$,        %ITEP-PD        05/99           Bystritskaya        
A.J.~Campbell$^{10}$,          %DESY-PD        8/88            Campbella           
J.~Cao$^{26}$,                 %ORSA-PD        12/98           Cao                 
S.~Caron$^{1}$,                %AAC1-ST        03/99           Caron               
F.~Cassol-Brunner$^{22}$,      %MARS-PD        12/0            Cassolbrunner       
D.~Clarke$^{5}$,               %RAL -PD        8/88            Clarke              
B.~Clerbaux$^{4}$,             %BRUX-LEFT      06/00           Clerbaux            
C.~Collard$^{4}$,              %BRUX-ST        09/98           Collard             
J.G.~Contreras$^{7,41}$,       %DORT-PD        04/97           Contreras           
Y.R.~Coppens$^{3}$,            %BIRM-ST        10/99           Coppens             
J.A.~Coughlan$^{5}$,           %RAL -PD        8/88            Coughlan            
M.-C.~Cousinou$^{22}$,         %MARS-PD        11/94           Cousinou            
B.E.~Cox$^{21}$,               %MANC-PD        12/98           Cox                 
G.~Cozzika$^{9}$,              %SACL-PD        8/88            Cozzika             
J.~Cvach$^{29}$,               %PRAG-PD        8/88            Cvach               
J.B.~Dainton$^{18}$,           %LIVE-PD        8/88            Dainton             
W.D.~Dau$^{15}$,               %KIEL-PD        8/88            Dau                 
K.~Daum$^{33,39}$,             %WUPP-PD        06/96           Daum                
M.~Davidsson$^{20}$,           %LUND-ST        3/97            Davidsson           
B.~Delcourt$^{26}$,            %ORSA-PD        8/88            Delcourt            
N.~Delerue$^{22}$,             %MARS-ST        03/99           Delerue             
R.~Demirchyan$^{34}$,          %YERE-PD        6/97            Demirchyan          
A.~De~Roeck$^{10,43}$,         %DESY-PD        08/88           Deroeck             
E.A.~De~Wolf$^{4}$,            %ANTW-PD        3/93            Dewolf              
C.~Diaconu$^{22}$,             %MARS-PD        08/96           Diaconu             
J.~Dingfelder$^{13}$,          %HDB1-ST        04/00           Dingfelder          
P.~Dixon$^{19}$,               %QMWC-PD        4/97            Dixon               
V.~Dodonov$^{12}$,             %MPIH-PD        04/98           Dodonov             
J.D.~Dowell$^{3}$,             %BIRM-PD        8/88            Dowell              
A.~Droutskoi$^{23}$,           %ITEP-PD        8/88            Droutskoi           
A.~Dubak$^{25}$,               %MPIM-ST        04/0            Dubak               
C.~Duprel$^{2}$,               %AAC3-ST        08/98           Duprel              
G.~Eckerlin$^{10}$,            %DESY-PD        8/88            Eckerlin            
D.~Eckstein$^{35}$,            %ZEUT-ST        7/97            Eckstein            
V.~Efremenko$^{23}$,           %ITEP-PD        8/88            Efremenko           
S.~Egli$^{32}$,                %PSI -PD        8/88            Egli                
R.~Eichler$^{36}$,             %ZUTH-PD        8/88            Eichler             
F.~Eisele$^{13}$,              %HDB1-PD        8/88            Eisele              
E.~Eisenhandler$^{19}$,        %QMWC-PD        8/88            Eisenhandler        
M.~Ellerbrock$^{13}$,          %HDB1-ST        10/98           Ellerbrock          
E.~Elsen$^{10}$,               %DESY-PD        8/88            Elsen               
M.~Erdmann$^{10,40,e}$,        %DESY-PD        8/88            Erdmannm            
W.~Erdmann$^{36}$,             %ZUTH-PD        06/99           Erdmannw            
P.J.W.~Faulkner$^{3}$,         %BIRM-PD        10/95           Faulkner            
L.~Favart$^{4}$,               %BRUX-PD        8/88            Favart              
A.~Fedotov$^{23}$,             %ITEP-PD        8/88            Fedotov             
R.~Felst$^{10}$,               %DESY-PD        11/0            Felst               
J.~Ferencei$^{10}$,            %DESY-PD        8/88            Ferencei            
S.~Ferron$^{27}$,              %ECPL-ST        05/98           Ferron              
M.~Fleischer$^{10}$,           %DESY-PD        07/0            Fleischer           
Y.H.~Fleming$^{3}$,            %BIRM-ST        11/99           Fleming             
G.~Fl\"ugge$^{2}$,             %AAC3-PD        8/88            Fluegge             
A.~Fomenko$^{24}$,             %LPI -PD        8/88            Fomenko             
I.~Foresti$^{37}$,             %ZUER-ST        11/98           Foresti             
J.~Form\'anek$^{30}$,          %PRG2-PD        8/88            Formanek            
G.~Franke$^{10}$,              %DESY-PD        8/88            Franke              
E.~Gabathuler$^{18}$,          %LIVE-PD        8/88            Gabathulere         
K.~Gabathuler$^{32}$,          %PSI -PD        8/88            Gabathulerk         
J.~Garvey$^{3}$,               %BIRM-PD        8/88            Garvey              
J.~Gassner$^{32}$,             %PSI -ST        03/98           Gassner             
J.~Gayler$^{10}$,              %DESY-PD        8/88            Gayler              
R.~Gerhards$^{10}$,            %DESY-PD        8/88            Gerhards            
C.~Gerlich$^{13}$,             %HDB1-ST        04/0            Gerlich             
S.~Ghazaryan$^{4,34}$,         %BRUX-PD        8/88            Ghazaryan           
L.~Goerlich$^{6}$,             %CRAC-PD        8/88            Goerlich            
N.~Gogitidze$^{24}$,           %LPI -PD        8/88            Gogitidze           
M.~Goldberg$^{28}$,            %PARI-LEFT      07/0            Goldberg            
C.~Grab$^{36}$,                %ZUTH-PD        8/88            Grab                
H.~Gr\"assler$^{2}$,           %AAC3-PD        8/88            Graessler           
T.~Greenshaw$^{18}$,           %LIVE-PD        8/88            Greenshaw           
G.~Grindhammer$^{25}$,         %MPIM-PD        8/88            Grindhammer         
T.~Hadig$^{13}$,               %HDB1-LEFT      04/01           Hadig               
D.~Haidt$^{10}$,               %DESY-PD        8/88            Haidt               
L.~Hajduk$^{6}$,               %CRAC-PD        8/88            Hajduk              
J.~Haller$^{13}$,              %HDB1-ST        11/0            Hallerj             
W.J.~Haynes$^{5}$,             %RAL -PD        8/88            Haynes              
B.~Heinemann$^{18}$,           %LIVE-PD        01/00           Heinemann           
G.~Heinzelmann$^{11}$,         %HAM2-PD        8/88            Heinzelmann         
R.C.W.~Henderson$^{17}$,       %LANC-PD        8/88            Henderson           
S.~Hengstmann$^{37}$,          %ZUER-PD        11/0            Hengstmann          
H.~Henschel$^{35}$,            %ZEUT-PD        06/99           Henschel            
R.~Heremans$^{4}$,             %BRUX-ST        2/97            Heremans            
G.~Herrera$^{7,44}$,           %DORT-PD        07/98           Herrera             
I.~Herynek$^{29}$,             %PRAG-PD        8/88            Herynek             
M.~Hildebrandt$^{37}$,         %ZUER-PD        10/99           Hildebrandtm        
M.~Hilgers$^{36}$,             %ZUTH-ST        05/98           Hilgers             
K.H.~Hiller$^{35}$,            %ZEUT-PD        8/88            Hiller              
J.~Hladk\'y$^{29}$,            %PRAG-PD        8/88            Hladky              
P.~H\"oting$^{2}$,             %AAC3-ST        07/98           Hoeting             
D.~Hoffmann$^{22}$,            %MARS-PD        10/0            Hoffmann            
R.~Horisberger$^{32}$,         %PSI -PD        8/88            Horisberger         
S.~Hurling$^{10}$,             %DESY-LEFT      04/01           Hurling             
M.~Ibbotson$^{21}$,            %MANC-PD        8/88            Ibbotson            
\c{C}.~\.{I}\c{s}sever$^{7}$,  %DORT-PD        02/1            Issever             
M.~Jacquet$^{26}$,             %ORSA-PD        09/96           Jacquet             
M.~Jaffre$^{26}$,              %ORSA-PD        07/90           Jaffre              
L.~Janauschek$^{25}$,          %MPIM-ST        08/98           Janauschek          
X.~Janssen$^{4}$,              %BRUX-ST        10/98           Janssen             
V.~Jemanov$^{11}$,             %HAM2-PD        03/99           Jemanov             
L.~J\"onsson$^{20}$,           %LUND-PD        8/88            Joensson 
C.~Johnson$^{3}$,                    
D.P.~Johnson$^{4}$,            %BRUX-PD        8/88            Johnson             
M.A.S.~Jones$^{18}$,           %LIVE-ST        02/98           Jones               
H.~Jung$^{20,10}$,             %DESY-PD        07/00           Jung                
D.~Kant$^{19}$,                %QMWC-PD        2/93            Kant                
M.~Kapichine$^{8}$,            %JINR-PD        3/97            Kapichine           
M.~Karlsson$^{20}$,            %LUND-ST        11/0            Karlsson            
O.~Karschnick$^{11}$,          %HAM2-ST        10/97           Karschnick          
F.~Keil$^{14}$,                %HDB2-ST        07/98           Keil                
N.~Keller$^{37}$,              %ZUER-ST        4/97            Kellern             
J.~Kennedy$^{18}$,             %LIVE-ST        02/99           Kennedy             
I.R.~Kenyon$^{3}$,             %BIRM-PD        8/88            Kenyon              
S.~Kermiche$^{22}$,            %MARS-LEFT      12/0            Kermiche            
C.~Kiesling$^{25}$,            %MPIM-PD        8/88            Kiesling            
P.~Kjellberg$^{20}$,           %LUND-ST        02/0            Kjellberg           
M.~Klein$^{35}$,               %ZEUT-PD        8/88            Klein               
C.~Kleinwort$^{10}$,           %DESY-PD        8/88            Kleinwort           
T.~Kluge$^{1}$,                %AAC1-ST        06/00           Kluge               
G.~Knies$^{10}$,               %DESY-PD        01/1            Knies               
B.~Koblitz$^{25}$,             %MPIM-ST        04/99           Koblitz             
S.D.~Kolya$^{21}$,             %MANC-PD        8/88            Kolya               
V.~Korbel$^{10}$,              %DESY-PD        8/88            Korbel              
P.~Kostka$^{35}$,              %ZEUT-PD        8/88            Kostka              
S.K.~Kotelnikov$^{24}$,        %LPI -LEFT      04/1            Kotelnikov          
R.~Koutouev$^{12}$,            %MPIH-PD        03/99           Koutouev            
A.~Koutov$^{8}$,               %JINR-ST        09/99           Koutov              
H.~Krehbiel$^{10}$,            %DESY-LEFT      10/0            Krehbiel            
J.~Kroseberg$^{37}$,           %ZUER-ST        09/98           Kroseberg           
K.~Kr\"uger$^{10}$,            %DESY-ST        10/97           Kruegerk            
A.~K\"upper$^{33}$,            %WUPP-ST        8/96            Kuepper             
T.~Kuhr$^{11}$,                %HAM2-ST        11/98           Kuhr                
T.~Kur\v{c}a$^{16}$,           %KOSI-LEFT      02/01           Kurca               
R.~Lahmann$^{10}$,             %DESY-LEFT      07/0            Lahmann             
D.~Lamb$^{3}$,                 %BIRM-ST        10/97           Lamb                
M.P.J.~Landon$^{19}$,          %QMWC-PD        8/88            Landon              
W.~Lange$^{35}$,               %ZEUT-PD        8/88            Lange               
T.~La\v{s}tovi\v{c}ka$^{30,35}$,  %ZEUT-ST        03/98           Lastovicka          
P.~Laycock$^{18}$,             %LIVE-ST        02/0            Laycock             
E.~Lebailly$^{26}$,            %ORSA-ST        09/99           Lebailly            
A.~Lebedev$^{24}$,             %LPI -PD        8/88            Lebedev             
B.~Lei{\ss}ner$^{1}$,          %AAC1-ST        03/99           Leissner            
R.~Lemrani$^{10}$,             %DESY-ST        12/98           Lemrani             
V.~Lendermann$^{7}$,           %DORT-ST        5/97            Lendermann          
S.~Levonian$^{10}$,            %DESY-PD        8/88            Levonian            
M.~Lindstroem$^{20}$,          %LUND-LEFT      12/00           Lindstroemm         
B.~List$^{36}$,                %ZUTH-PD        11/99           List                
E.~Lobodzinska$^{10,6}$,       %DESY-PD        07/97           Lobodzinska         
B.~Lobodzinski$^{6,10}$,       %CRAC-PD        12/98           Lobodzinski         
A.~Loginov$^{23}$,             %ITEP-ST        05/99           Loginov             
N.~Loktionova$^{24}$,          %LPI -PD        03/99           Loktionova          
V.~Lubimov$^{23}$,             %ITEP-PD        01/95           Lubimov             
S.~L\"uders$^{36}$,            %ZUTH-ST        12/97           Lueders             
D.~L\"uke$^{7,10}$,            %DORT-PD        6/93            Lueke               
L.~Lytkin$^{12}$,              %MPIH-PD        8/88            Lytkine             
H.~Mahlke-Kr\"uger$^{10}$,     %DESY-LEFT      10/00           Mahlkekrueger       
N.~Malden$^{21}$,              %MANC-PD        05/1            Malden              
E.~Malinovski$^{24}$,          %LPI -PD        01/89           Malinovskie         
I.~Malinovski$^{24}$,          %LPI -PD        8/88            Malinovskii         
R.~Mara\v{c}ek$^{25}$,         %MPIM-LEFT      05/1            Maracek             
P.~Marage$^{4}$,               %BRUX-PD        8/88            Marage              
J.~Marks$^{13}$,               %HDB1-PD        4/94            Marks               
R.~Marshall$^{21}$,            %MANC-PD        8/88            Marshall            
H.-U.~Martyn$^{1}$,            %AAC1-PD        8/88            Martyn              
J.~Martyniak$^{6}$,            %CRAC-PD        8/88            Martyniak           
S.J.~Maxfield$^{18}$,          %LIVE-PD        8/88            Maxfield            
D.~Meer$^{36}$,                %ZUTH-ST        05/0            Meer                
A.~Mehta$^{18}$,               %LIVE-PD        8/88            Mehta               
K.~Meier$^{14}$,               %HDB2-PD        8/88            Meier               
A.B.~Meyer$^{11}$,             %HAM2-PD        01/00           Meyeran             
H.~Meyer$^{33}$,               %WUPP-PD        8/88            Meyerh              
J.~Meyer$^{10}$,               %DESY-PD        8/88            Meyerj              
P.-O.~Meyer$^{2}$,             %AAC3-LEFT      02/1            Meyerp              
S.~Mikocki$^{6}$,              %CRAC-PD        8/88            Mikocki             
D.~Milstead$^{18}$,            %LIVE-PD        01/99           Milstead            
T.~Mkrtchyan$^{34}$,           %YERE-LEFT      10/0            Mkrtchyan           
R.~Mohr$^{25}$,                %MPIM-LEFT      09/00           Mohr                
S.~Mohrdieck$^{11}$,           %HAM2-ST        5/97            Mohrdieck           
M.N.~Mondragon$^{7}$,          %DORT-ST        03/98           Mondragon           
F.~Moreau$^{27}$,              %ECPL-PD        01/90           Moreau              
A.~Morozov$^{8}$,              %JINR-PD        06/99           Morozov             
J.V.~Morris$^{5}$,             %RAL -PD        8/88            Morris              
K.~M\"uller$^{37}$,            %ZUER-PD        8/88            Muellerk            
P.~Mur\'\i n$^{16,42}$,        %KOSI-PD        8/88            Murin               
V.~Nagovizin$^{23}$,           %ITEP-PD        01/98           Nagovitsyn          
B.~Naroska$^{11}$,             %HAM2-PD        8/88            Naroska             
J.~Naumann$^{7}$,              %DORT-ST        04/98           Naumannj            
Th.~Naumann$^{35}$,            %ZEUT-PD        01/89           Naumannt            
G.~Nellen$^{25}$,              %MPIM-LEFT      02/1            Nellen              
P.R.~Newman$^{3}$,             %BIRM-PD        10/92           Newman              
T.C.~Nicholls$^{5}$,           %RAL -LEFT      08/0            Nicholls            
F.~Niebergall$^{11}$,          %HAM2-PD        8/88            Niebergall          
C.~Niebuhr$^{10}$,             %DESY-PD        3/93            Niebuhr             
O.~Nix$^{14}$,                 %HDB2-ST        5/97            Nix                 
G.~Nowak$^{6}$,                %CRAC-PD        8/88            Nowakg              
J.E.~Olsson$^{10}$,            %DESY-PD        8/88            Olsson              
D.~Ozerov$^{23}$,              %ITEP-ST        08/88           Ozerov              
V.~Panassik$^{8}$,             %JINR-PD        07/98           Panassik            
C.~Pascaud$^{26}$,             %ORSA-PD        8/88            Pascaud             
G.D.~Patel$^{18}$,             %LIVE-PD        8/88            Patel               
M.~Peez$^{22}$,                %MARS-ST        03/00           Peez                
E.~Perez$^{9}$,                %SACL-PD        4/96            Perez               
J.P.~Phillips$^{18}$,          %LIVE-PD        8/88            Phillips            
D.~Pitzl$^{10}$,               %DESY-PD        8/88            Pitzl               
R.~P\"oschl$^{26}$,            %ORSA-PD        10/0            Poeschl             
I.~Potachnikova$^{12}$,        %MPIH-PD        9/97            Potachnikova        
B.~Povh$^{12}$,                %MPIH-PD        8/88            Povh                
K.~Rabbertz$^{1}$,             %AAC1-LEFT      07/00           Rabbertz            
G.~R\"adel$^{1}$,             %ECPL-LEFT      02/1            Raedel              
J.~Rauschenberger$^{11}$,      %HAM2-ST        03/98           Rauschenberger      
P.~Reimer$^{29}$,              %PRAG-PD        8/88            Reimer              
B.~Reisert$^{25}$,             %MPIM-ST        1/97            Reisert             
D.~Reyna$^{10}$,               %DESY-LEFT      11/0            Reyna               
C.~Risler$^{25}$,              %MPIM-ST        01/0            Risler              
E.~Rizvi$^{3}$,                %BIRM-PD        7/97            Rizvi               
P.~Robmann$^{37}$,             %ZUER-PD        8/88            Robmann             
R.~Roosen$^{4}$,               %BRUX-PD        8/88            Roosen              
A.~Rostovtsev$^{23}$,          %ITEP-PD        8/88            Rostovtsev          
S.~Rusakov$^{24}$,             %LPI -PD        8/88            Rusakov             
K.~Rybicki$^{6}$,              %CRAC-PD        8/88            Rybicki             
D.P.C.~Sankey$^{5}$,           %RAL -PD        8/88            Sankey              
J.~Scheins$^{1}$,              %AAC1-ST        10/96           Scheins             
F.-P.~Schilling$^{10}$,        %DESY-PD        03/98           Schillingf          
P.~Schleper$^{10}$,            %DESY-PD        11/97           Schleper            
D.~Schmidt$^{33}$,             %WUPP-PD        8/88            Schmidtdie          
D.~Schmidt$^{10}$,             %DESY-ST        10/97           Schmidtdir          
S.~Schmidt$^{25}$,             %MPIM-ST        10/00           Schmidts            
S.~Schmitt$^{10}$,             %DESY-PD        09/99           Schmitt             
M.~Schneider$^{22}$,           %MARS-ST        04/00           Schneider           
L.~Schoeffel$^{9}$,            %SACL-PD        12/98           Schoeffel           
A.~Sch\"oning$^{36}$,          %ZUTH-PD        02/99           Schoening           
T.~Sch\"orner$^{25}$,          %MPIM-ST        07/98           Schoerner           
V.~Schr\"oder$^{10}$,          %DESY-PD        8/88            Schroeder           
H.-C.~Schultz-Coulon$^{7}$,    %DORT-PD        11/96           Schultzcoulon       
C.~Schwanenberger$^{10}$,      %DESY-PD        01/00           Schwanenberger      
K.~Sedl\'{a}k$^{29}$,          %PRAG-ST        08/98           Sedlak              
F.~Sefkow$^{37}$,              %ZUER-PD        09/99           Sefkow              
V.~Shekelyan$^{25}$,           %MPIM-PD        01/90           Shekelyan           
I.~Sheviakov$^{24}$,           %LPI -PD        01/90           Sheviakov           
L.N.~Shtarkov$^{24}$,          %LPI -PD        8/88            Shtarkov            
Y.~Sirois$^{27}$,              %ECPL-PD        8/88            Sirois              
T.~Sloan$^{17}$,               %LANC-PD        1/96            Sloan               
P.~Smirnov$^{24}$,             %LPI -PD        8/88            Smirnov             
Y.~Soloviev$^{24}$,            %LPI -PD        8/88            Soloviev            
D.~South$^{21}$,               %MANC-ST        07/0            South               
V.~Spaskov$^{8}$,              %JINR-PD        12/97           Spaskov             
A.~Specka$^{27}$,              %ECPL-PD        3/95            Specka              
H.~Spitzer$^{11}$,             %HAM2-PD        8/88            Spitzer             
R.~Stamen$^{7}$,               %DORT-ST        04/98           Stamen              
B.~Stella$^{31}$,              %ROME-PD        8/88            Stella              
J.~Stiewe$^{14}$,              %HDB2-PD        1/93            Stiewe              
U.~Straumann$^{37}$,           %ZUER-PD        8/88            Straumann           
M.~Swart$^{14}$,               %HDB2-LEFT      12/00           Swart               
M.~Ta\v{s}evsk\'{y}$^{29}$,    %PRAG-LEFT      09/00           Tasevsky            
V.~Tchernyshov$^{23}$,         %ITEP-PD        8/88            Tchernyshov         
S.~Tchetchelnitski$^{23}$,     %ITEP-PD        9/93            Tchetchelnitski     
G.~Thompson$^{19}$,            %QMWC-PD        8/88            Thompsong           
P.D.~Thompson$^{3}$,           %BIRM-PD        08/99           Thompsonp           
N.~Tobien$^{10}$,              %DESY-LEFT      11/00           Tobien              
D.~Traynor$^{19}$,             %QMWC-ST        10/97           Traynor             
P.~Tru\"ol$^{37}$,             %ZUER-PD        8/88            Truoel              
G.~Tsipolitis$^{10,38}$,       %DESY-PD        04/00           Tsipolitis          
I.~Tsurin$^{35}$,              %ZEUT-ST        07/99           Tsurin              
J.~Turnau$^{6}$,               %CRAC-PD        8/88            Turnau              
J.E.~Turney$^{19}$,            %QMWC-ST        10/98           Turney              
E.~Tzamariudaki$^{25}$,        %MPIM-PD        11/95           Tzamariudaki        
S.~Udluft$^{25}$,              %MPIM-LEFT      02/01           Udluft              
M.~Urban$^{37}$,               %ZUER-ST        09/0            Urban               
A.~Usik$^{24}$,                %LPI -PD        8/88            Usik                
S.~Valk\'ar$^{30}$,            %PRG2-PD        8/88            Valkar              
A.~Valk\'arov\'a$^{30}$,       %PRG2-PD        8/88            Valkarova           
C.~Vall\'ee$^{22}$,            %MARS-PD        8/88            Vallee              
P.~Van~Mechelen$^{4}$,         %ANTW-PD        12/98           Vanmechelen         
S.~Vassiliev$^{8}$,            %JINR-PD        10/99           Vassiliev           
Y.~Vazdik$^{24}$,              %LPI -PD        8/88            Vazdik              
A.~Vichnevski$^{8}$,           %JINR-PD        10/99           Vichnevski          
K.~Wacker$^{7}$,               %DORT-PD        8/88            Wacker              
R.~Wallny$^{37}$,              %ZUER-ST        12/96           Wallny              
B.~Waugh$^{21}$,               %MANC-PD        12/98           Waugh               
G.~Weber$^{11}$,               %HAM2-PD        8/88            Weberg              
M.~Weber$^{14}$,               %HDB2-LEFT      10/00           Weberm              
D.~Wegener$^{7}$,              %DORT-PD        8/88            Wegener             
C.~Werner$^{13}$,              %HDB1-ST        07/0            Wernerc             
M.~Werner$^{13}$,              %HDB1-LEFT      09/00           Wernerm             
N.~Werner$^{37}$,              %ZUER-ST        04/0            Wernern             
G.~White$^{17}$,               %LANC-ST        10/97           White               
S.~Wiesand$^{33}$,             %WUPP-ST        8/96            Wiesand             
T.~Wilksen$^{10}$,             %DESY-LEFT      03/1            Wilksen             
M.~Winde$^{35}$,               %ZEUT-PD        8/88            Winde               
G.-G.~Winter$^{10}$,           %DESY-PD        8/88            Winter              
Ch.~Wissing$^{7}$,             %DORT-ST        04/98           Wissing             
M.~Wobisch$^{10}$,             %DESY-PD        11/00           Wobisch             
E.-E.~Woehrling$^{3}$,         %BIRM-ST        11/0            Woehrling           
E.~W\"unsch$^{10}$,            %DESY-PD        8/88            Wuensch             
A.C.~Wyatt$^{21}$,             %MANC-ST        03/99           Wyatt               
J.~\v{Z}\'a\v{c}ek$^{30}$,     %PRG2-PD        8/88            Zacek               
J.~Z\'ale\v{s}\'ak$^{30}$,     %PRG2-ST        4/96            Zalesak             
Z.~Zhang$^{26}$,               %ORSA-PD        10/92           Zhang               
A.~Zhokin$^{23}$,              %ITEP-PD        04/99           Zhokine             
F.~Zomer$^{26}$,               %ORSA-PD        8/88            Zomer               
J.~Zsembery$^{9}$,             %SACL-LEFT      07/0            Zsembery            
and
M.~zur~Nedden$^{10}$           %DESY-PD        01/99           Zurnedden      


%-- H1 Institutes 
\bigskip{\it
 $ ^{1}$ I. Physikalisches Institut der RWTH, Aachen, Germany$^{ a}$ \\
 $ ^{2}$ III. Physikalisches Institut der RWTH, Aachen, Germany$^{ a}$ \\
 $ ^{3}$ School of Physics and Space Research, University of Birmingham,
          Birmingham, UK$^{ b}$ \\
 $ ^{4}$ Inter-University Institute for High Energies ULB-VUB, Brussels;
          Universitaire Instelling Antwerpen, Wilrijk; Belgium$^{ c}$ \\
 $ ^{5}$ Rutherford Appleton Laboratory, Chilton, Didcot, UK$^{ b}$ \\
 $ ^{6}$ Institute for Nuclear Physics, Cracow, Poland$^{ d}$ \\
 $ ^{7}$ Institut f\"ur Physik, Universit\"at Dortmund, Dortmund, Germany$^{ a}$ \\
 $ ^{8}$ Joint Institute for Nuclear Research, Dubna, Russia \\
 $ ^{9}$ CEA, DSM/DAPNIA, CE-Saclay, Gif-sur-Yvette, France \\
 $ ^{10}$ DESY, Hamburg, Germany \\
 $ ^{11}$ II. Institut f\"ur Experimentalphysik, Universit\"at Hamburg,
          Hamburg, Germany$^{ a}$ \\
 $ ^{12}$ Max-Planck-Institut f\"ur Kernphysik, Heidelberg, Germany \\
 $ ^{13}$ Physikalisches Institut, Universit\"at Heidelberg,
          Heidelberg, Germany$^{ a}$ \\
 $ ^{14}$ Kirchhoff-Institut f\"ur Physik, Universit\"at Heidelberg,
          Heidelberg, Germany$^{ a}$ \\
 $ ^{15}$ Institut f\"ur experimentelle und Angewandte Physik, Universit\"at
          Kiel, Kiel, Germany \\
 $ ^{16}$ Institute of Experimental Physics, Slovak Academy of
          Sciences, Ko\v{s}ice, Slovak Republic$^{ e,f}$ \\
 $ ^{17}$ School of Physics and Chemistry, University of Lancaster,
          Lancaster, UK$^{ b}$ \\
 $ ^{18}$ Department of Physics, University of Liverpool,
          Liverpool, UK$^{ b}$ \\
 $ ^{19}$ Queen Mary and Westfield College, London, UK$^{ b}$ \\
 $ ^{20}$ Physics Department, University of Lund,
          Lund, Sweden$^{ g}$ \\
 $ ^{21}$ Physics Department, University of Manchester,
          Manchester, UK$^{ b}$ \\
 $ ^{22}$ CPPM, CNRS/IN2P3 - Univ Mediterranee, Marseille - France \\
 $ ^{23}$ Institute for Theoretical and Experimental Physics,
          Moscow, Russia$^{ l}$ \\
 $ ^{24}$ Lebedev Physical Institute, Moscow, Russia$^{ e,h}$ \\
 $ ^{25}$ Max-Planck-Institut f\"ur Physik, M\"unchen, Germany \\
 $ ^{26}$ LAL, Universit\'{e} de Paris-Sud, IN2P3-CNRS,
          Orsay, France \\
 $ ^{27}$ LPNHE, Ecole Polytechnique, IN2P3-CNRS, Palaiseau, France \\
 $ ^{28}$ LPNHE, Universit\'{e}s Paris VI and VII, IN2P3-CNRS,
          Paris, France \\
 $ ^{29}$ Institute of  Physics, Academy of
          Sciences of the Czech Republic, Praha, Czech Republic$^{ e,i}$ \\
 $ ^{30}$ Faculty of Mathematics and Physics, Charles University,
          Praha, Czech Republic$^{ e,i}$ \\
 $ ^{31}$ Dipartimento di Fisica Universit\`a di Roma Tre
          and INFN Roma~3, Roma, Italy \\
 $ ^{32}$ Paul Scherrer Institut, Villigen, Switzerland \\
 $ ^{33}$ Fachbereich Physik, Bergische Universit\"at Gesamthochschule
          Wuppertal, Wuppertal, Germany \\
 $ ^{34}$ Yerevan Physics Institute, Yerevan, Armenia \\
 $ ^{35}$ DESY, Zeuthen, Germany \\
 $ ^{36}$ Institut f\"ur Teilchenphysik, ETH, Z\"urich, Switzerland$^{ j}$ \\
 $ ^{37}$ Physik-Institut der Universit\"at Z\"urich, Z\"urich, Switzerland$^{ j}$ \\
 $ ^{38}$ Also at Physics Department, National Technical University,
          Zografou Campus, GR-15773 Athens, Greece \\
 $ ^{39}$ Also at Rechenzentrum, Bergische Universit\"at Gesamthochschule
          Wuppertal, Germany \\
 $ ^{40}$ Also at Institut f\"ur Experimentelle Kernphysik,
          Universit\"at Karlsruhe, Karlsruhe, Germany \\
 $ ^{41}$ Also at Dept.\ Fis.\ Ap.\ CINVESTAV,
          M\'erida, Yucat\'an, M\'exico$^{ k}$ \\
 $ ^{42}$ Also at University of P.J. \v{S}af\'{a}rik,
          Ko\v{s}ice, Slovak Republic \\
 $ ^{43}$ Also at CERN, Geneva, Switzerland \\
 $ ^{44}$ Also at Dept.\ Fis.\ CINVESTAV,
          M\'exico City,  M\'exico$^{ k}$ \\

\bigskip
 $ ^a$ Supported by the Bundesministerium f\"ur Bildung und
      Forschung, FRG,
      under contract numbers 05 H1 1GUA /1, 05 H1 1PAA /1, 05 H1 1PAB /9,
      05 H1 1PEA /6, 05 H1 1VHA /7 and 05 H1 1VHB /5  \\
 $ ^b$ Supported by the UK Particle Physics and Astronomy Research
      Council, and formerly by the UK Science and Engineering Research
      Council \\
 $ ^c$ Supported by FNRS-NFWO, IISN-IIKW \\
 $ ^d$ Partially Supported by the Polish State Committee for Scientific
      Research, grant no. 2P0310318 and SPUB/DESY/P03/DZ-1/99,
      and by the German Federal Ministry of Education and 
      Research (BMBF) \\
 $ ^e$ Supported by the Deutsche Forschungsgemeinschaft \\
 $ ^f$ Supported by VEGA SR grant no. 2/1169/2001 \\
 $ ^g$ Supported by the Swedish Natural Science Research Council \\
 $ ^h$ Supported by Russian Foundation for Basic Research
      grant no. 96-02-00019 \\
 $ ^i$ Supported by the Ministry of Education of the Czech Republic
      under the projects INGO-LA116/2000 and LN00A006, by
      GA AV\v{C}R grant no B1010005 and by GAUK grant no 173/2000 \\
 $ ^j$ Supported by the Swiss National Science Foundation \\
 $ ^k$ Supported by  CONACyT \\
 $ ^l$ Partially Supported by Russian Foundation
      for Basic Research, grant    no. 00-15-96584 \\
}

paper.tex
% LaTeX file with prefered layout for the H1 publications
%================================================================
% The style is particularly suited for DESY preprints, which are
% printed in two columns (one LaTeX page per column).
%================================================================
\documentclass[12pt]{article}
\usepackage{epsfig}
\usepackage{amsmath}
\usepackage{hhline}
\usepackage{amssymb}
\usepackage{times}
\usepackage{cite}
\usepackage{rotating}
\newcommand{\rb}[1]{\raisebox{1.5ex}[-1.5ex]{#1}}
\newcommand{\F}{$ F_{2}(x,Q^2)\:$} 
\newcommand{\FL}{$ F_{L}(x,Q^2)\:$}
\newcommand{\Fc}{$ F_{2}\,$}
\newcommand{\Q}{$ Q^{2}\,$}
\newcommand{\gv}{GeV$^2\,$}
\newcommand{\bs}{\overline{s}}
\newcommand{\bu}{\overline{u}}
\newcommand{\bd}{\overline{d}}
\newcommand{\bq}{\overline{q}}    
\newcommand{\FLc}{$ F_{L}\,$} 
\newcommand{\xg}{$xg(x,Q^2)\,$}
\newcommand{\xgc}{$xg\,$}
\newcommand{\ipb}{pb$^{-1}\,$}               
\newcommand{\beq}{\begin{equation}}                       
\newcommand{\eeq}{\end{equation}}                       
\newcommand{\PO}{I\!\!P }                                 
\newcommand{\XP}{x_{{I\!\!P}/{p}}}                                             
\newcommand{\TOSS}{x_{{i}/{\PO}}}                                              
\newcommand{\un}[1]{\mbox{\rm #1}}
\newcommand{\pdsi}{$\partial \sigma_r / \partial \log y\,$}
\newcommand{\pdff}{$\partial F_{2} / \partial \log Q^{2}\,$ }
\newcommand{\llam}{$\lambda(x,Q^2)\:$}
\newcommand{\lam}{$\lambda(Q^2)\:$}
\newlength{\dinwidth}                                                          
\newlength{\dinmargin}                                                         
\setlength{\dinwidth}{21.0cm}                                                  
\textheight23cm \textwidth15.5cm                                               
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\oddsidemargin -1.0in                                                          
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\setlength{\marginparwidth}{0.9\dinmargin}                                     
\marginparsep 8pt \marginparpush 5pt
\topmargin -38pt                                                               
\headheight 12pt                                                               
\parskip 3mm plus 2mm minus 2mm                                                
\setlength{\unitlength}{1mm}              % e.p  needed for figures  
%\special{!userdict begin /bop-hook{gsave 200 30 translate
% 65 rotate /Times-Roman findfont 216 scalefont setfont
% 0 0 moveto 0.93 setgray ( DRAFT) show grestore}def end}
%              
\begin{document}              
\noindent                                                                 
%========================title page=============================   
\begin{titlepage}                                                    
\begin{flushleft}
%
DESY-01-104  \hfill  ISSN 0418-9833 \\
July 2001
%
\end{flushleft}

\vspace*{3.cm} 

\begin{center}                                                                 

\begin{Large}                                                                  
{\bf On the Rise 
of  the \\  Proton  Structure Function 
{\boldmath \Fc} \\  Towards Low {\boldmath $x$}  \\}
\vspace*{1cm}                                                                 
H1 Collaboration
\\                                                          
\end{Large}
%\date{today}    
%=======================abstract==============================        
\vspace*{2.cm} {\bf Abstract:   }
\begin{quotation}               
\noindent
A measurement of the derivative $(\partial \ln F_2 / \partial \ln
x)_{Q^2} \equiv -\lambda(x,Q^2)$ of the proton structure function
$F_2$ is presented in the low $x$ domain of deeply inelastic
positron--proton scattering. For $ 5\cdot 10^{-5} \leq x \leq 0.01$
and $Q^2\geq 1.5\,{\rm GeV}^2$, $\lambda(x,Q^2)$ is found to be
independent of $x$ and to increase linearly with $\ln Q^2$.
\end{quotation}
\vspace*{2.cm} 
{\it Submitted to Phys. Lett. B}
\end{center}                                                                
\cleardoublepage                     
\end{titlepage}
%
\begin{flushleft}
  \input{h1auts}
\end{flushleft}
\newpage
%
%--------------------------------------------------------------------
%
%
\noindent
The inclusive cross section for deeply inelastic lepton-proton
scattering is governed by the proton structure function \F. Because of
the large centre-of-mass energy squared, $s \simeq 10^5 $~GeV$^2$, the
$ep$ collider HERA has accessed the region of low Bjorken $x$, $x >
Q^2/s > 10^{-5}$, for four-momentum transfers squared $Q^2 > 1 $
GeV$^2$. One of the first observations at HERA was of a substantial
rise of \Fc with decreasing $x$~\cite{f292}. However, this rise may be
limited at very low $x$ by unitarity constraints.

Perturbative Quantum Chromodynamics (QCD) provides a rigorous and
successful theoretical description of the $Q^2$ dependence of \F in
deeply inelastic scattering.  In the double asymptotic limit, the
DGLAP evolution equations~\cite{dglap} can be solved~\cite{das} and
\Fc\ is expected to rise approximately as a power of $x$ towards low
$x$. A power behaviour is also predicted in BFKL theory~\cite{bfkl}.
The rise is expected eventually to be limited by gluon self interactions
in the nucleon~\cite{glr}.

Recently the H1 Collaboration has presented~\cite{paper} a new
measurement of \F in the kinematic range $3 \cdot 10^{-5} \le x \le
0.2$ and $1.5 \le Q^2 \le 150 $ GeV$^2$ based on data taken in the
years 1996/97 with a positron beam energy $E_e = 27.6$ GeV and a
proton beam energy $E_p = 820$ GeV.  The high accuracy of these data
allows the derivative
%
\begin{equation}
    \left( \frac{\partial \ln F_2(x,Q^2)}{\partial \ln x}\right)_{Q^2}  \equiv 
    - \lambda(x,Q^2)
\end{equation} 
%
to be measured as a function both of $Q^2$ and of $x$ for the first
time.  Use of this quantity for investigating the behaviour of \Fc at
low $x$ was suggested in~\cite{Navel}.

Here results are presented of a measurement of this derivative in the
full kinematic range available. Data points at adjacent values of $x$
and at fixed $Q^2$ are used~\cite{paper} taking account of the full
error correlations and the spacing between the $x$ values.  The
results\footnote{Note that derivatives at adjacent $x$ values are thus
anti-correlated. 
The data points at $Q^2=150$~\gv are
  obtained from the H1 measurement~\cite{fbea}.}  obtained are
presented in Table~\ref{tabder}.  The sensitivity of the derivative to
the uncertainty of the structure function \FLc~\cite{paper} throughout
the measured kinematic range is estimated to be much smaller than the
total systematic error at the lowest values of $x$ and is negligible
elsewhere.

As can be seen in Figure~\ref{lamx}, the derivative \llam is
independent of $x$ for $x \lesssim 0.01$ to within the experimental
accuracy.  This implies that the $x$ dependence of \Fc at low $x$ is
consistent with a power law, $F_2 \propto x^{-\lambda}$, for fixed
$Q^2$, and that the rise of \Fc, i.e.  $(\partial F_2 / \partial
x)_{Q^2}$, is proportional to $F_2/x$.  There is no experimental
evidence that this behaviour changes in the measured kinematic range.

The derivative is well described by the NLO QCD fit to the H1
cross-section data~\cite{paper}, see Figure~\ref{lamx}. In DGLAP QCD,
for $Q^2 > 3$ GeV$^2$, the low $x$ behaviour is driven solely by the
gluon field, since quark contributions to the scaling violations of
\Fc\ are negligible.  At larger $x$ the transition to the
valence-quark region causes a strong dependence of $\lambda$ on $x$ as
indicated by the QCD curves in Figure~\ref{lamx}.

Figure~\ref{lamq2} shows the measured derivative as a function of
$Q^2$ for different $x$ values.  The derivative is observed to rise
approximately logarithmically with $Q^2$. It can be represented by a
function \lam which is independent of $x$ within the experimental
accuracy.

The function \lam is determined from fits of the form $F_2(x,Q^2) =
c(Q^2) x^{-\lambda(Q^2)}$ to the H1 structure function data,
restricted to the region $x \leq 0.01$.  The results for $c(Q^2)$ and
\lam are presented in Table~\ref{tablam} and shown in
Figure~\ref{lammax}.  The coefficients $c(Q^2)$ are approximately
independent of $Q^2$ with a mean value of 0.18.  As can be seen,
$\lambda(Q^2)$ rises approximately linearly with $\ln Q^2$. This
dependence can be represented as $\lambda(Q^2) = a \cdot \ln
[Q^2/\Lambda^2]$, see Figure~\ref{lammax}.  The coefficients are
$a=0.0481 \pm 0.0013(\rm stat)\pm 0.0037(\rm syst)$ and $\Lambda = 292
\pm 20(\rm stat) \pm 51(\rm syst)$~MeV, obtained for $Q^2 \geq 3.5$
GeV$^2$. The values of \lam are more accurate than data hitherto
published by the H1~\cite{h1svx} and ZEUS~\cite{zeuslam}
Collaborations.

Below the deeply inelastic region, for fixed $Q^2 < 1 $~GeV$^2$, the
simplest Regge phenomenology predicts that \F $\propto x^{-\lambda}$
where $\lambda = \alpha_{\PO}(0)-1 \simeq 0.08$ is given by the
Pomeron intercept independently of $x$ and $Q^2$~\cite{dl}.  When
extrapolating the function \lam into the lower $Q^2$ region it has the
value of $0.08$ at $Q^2 = 0.45$~GeV$^2$, see also \cite{zeuslam}.

To summarise, the derivative $(\partial \ln F_2 / \partial \ln
x)_{Q^2}$ is measured as a function both of $x$ and of $Q^2$ and is
observed to be independent of Bjorken $x$ for $x \lesssim 0.01$ and
$Q^2$ between 1.5 and 150~\gv. Thus the behaviour of \Fc at low $x$ is
consistent with a dependence $F_2(x,Q^2)~=~c(Q^2)~x^{-\lambda(Q^2)}$
throughout that region.  At low $x$, the
exponent $\lambda$ is observed to rise linearly with $\ln Q^2$ and the
coefficient $c$ is independent of $Q^2$ to within the experimental
accuracy.  There is no sign that this behaviour changes within the
kinematic range of deeply inelastic scattering explored.

%\vspace{1cm}
%
{\bf Acknowledgements}
%=====================                                                         
\normalsize
\noindent 
We are very grateful to the HERA machine group whose
outstanding efforts made this experiment possible. We acknowledge the
support of the DESY technical staff. We appreciate the substantial
effort of the engineers and technicians who constructed and maintain
the detector. We thank the funding agencies for financial support of
this experiment.  We wish to thank the DESY directorate for the
support and hospitality extended to the non-DESY members of the
collaboration. 
%
%\newpage

\begin{thebibliography}{99}
%
% ----------introduction -------------------------------------
%
\bibitem{f292}
 %\cite{Abt:1993cb}
 I.~Abt {\it et al.}  [H1 Collaboration],
 %``Measurement of the proton structure function F2 (x, Q**2) in the low x region at HERA,''
 Nucl.\ Phys.\ B {\bf 407} (1993) 515. \\
 %%CITATION = NUPHA,B407,515;%%
 %\cite{Derrick:1993ft}
 M.~Derrick {\it et al.}  [ZEUS Collaboration],
 %``Measurement of the proton structure function F2 in e p scattering at HERA,''
 Phys.\ Lett.\ B {\bf 316} (1993) 412.
 %%CITATION = PHLTA,B316,412;%%
%
\bibitem{dglap}
 %\cite{Dokshitzer:1977sg}
 Y.~L.~Dokshitzer,
 %``Calculation Of The Structure Functions For Deep Inelastic Scattering And E+ E- Annihilation By Perturbation Theory In Quantum Chromodynamics. (In Russian),''
 Sov.\ Phys.\ JETP {\bf 46} (1977) 641
 [Zh.\ Eksp.\ Teor.\ Fiz.\  {\bf 73} (1977) 1216]; \\
 %%CITATION = SPHJA,46,641;%%
 %\cite{Gribov:1972rt}
 V.~N.~Gribov and L.~N.~Lipatov,
 %``E+ E- Pair Annihilation And Deep Inelastic E P Scattering In Perturbation Theory,''
 Yad.\ Fiz.\  {\bf 15} (1972) 1218
 [Sov.\ J.\ Nucl.\ Phys.\  {\bf 15} (1972) 675]; \\
 %%CITATION = YAFIA,15,1218;%%
 %\cite{Gribov:1972ri}
 V.~N.~Gribov and L.~N.~Lipatov,
 %``Deep Inelastic E P Scattering In Perturbation Theory,''
 Yad.\ Fiz.\  {\bf 15} (1972) 781
 [Sov.\ J.\ Nucl.\ Phys.\  {\bf 15} (1972) 438]; \\
 %%CITATION = YAFIA,15,781;%%
 %\cite{Altarelli:1977zs}
 G.~Altarelli and G.~Parisi,
 %``Asymptotic Freedom In Parton Language,''
 Nucl.\ Phys.\ B {\bf 126} (1977) 298.
 %%CITATION = NUPHA,B126,298;%%
%
\bibitem{das}
 %\cite{DeRujula:1974rf}
 A.~De Rujula, S.~L.~Glashow, H.~D.~Politzer, S.~B.~Treiman, F.~Wilczek and A.~Zee, \\
 %``Possible Nonregge Behavior Of Electroproduction Structure Functions,''
 Phys.\ Rev.\ D {\bf 10} (1974) 1649; \\
 %%CITATION = PHRVA,D10,1649;%%
 %\cite{Ball:1994du}
 R.~D.~Ball and S.~Forte,
 %``Double asymptotic scaling at HERA,''
 Phys.\ Lett.\ B {\bf 335} (1994) 77 
 [hep-ph/9405320].
 %%CITATION = HEP-PH 9405320;%%
%
\bibitem{bfkl}
E.~A.~Kuraev, L.~N.~Lipatov and V.~S.~Fadin, Sov. Phys. JETP {\bf 44} 
      (1976) 443; \\
 E.~A.~Kuraev, L.~N.~Lipatov and V.~S.~Fadin, Sov. Phys. JETP
  {\bf 45} (1977) 199; \\ 
  Y.~Y.~Balitsky and L.~N.~Lipatov, Sov. Journ. Nucl. Phys. 
  {\bf 28} (1978) 822.
%
\bibitem{glr}
L.~V.~Gribov, E.~M.~Levin and M.~G.~Ryskin,
%``Singlet Structure Function At Small X: Unitarization Of Gluon Ladders,''
Nucl.\ Phys.\ B {\bf 188} (1981) 555; \\
%%CITATION = NUPHA,B188,555;%%
%\cite{Gribov:1983tu}
%\bibitem{Gribov:1983tu}
L.~V.~Gribov, E.~M.~Levin and M.~G.~Ryskin,
%``Semihard Processes In QCD,''
Phys.\ Rept.\  {\bf 100} (1983) 1.
%%CITATION = PRPLC,100,1;%%
%
\bibitem{paper}
 %\cite{Adloff:2000qk}
 C.~Adloff {\it et al.}  [H1 Collaboration],
 %``Deep-inelastic inclusive e p scattering at low x and a determination of  alpha(s),''
 Eur.\ Phys.\ J.\ C {\bf 21} (2001) 33
 [hep-ex/0012053].
%%CITATION = HEP-EX 0012053;%%%
\bibitem{Navel}
 %\cite{Navelet:1994qp}
 H.~Navelet, R.~Peschanski and S.~Wallon,
 %``On the singular behavior of structure functions at low x,''
 Mod.\ Phys.\ Lett.\ A {\bf 9} (1994) 3393
 [hep-ph/9402352].
 %%CITATION = HEP-PH 9402352;%%
%
\bibitem{fbea}
C.~Adloff {\it et al.}  [H1 Collaboration],
%``Measurement of neutral and charged current cross-sections in positron  proton collisions at large momentum transfer,''
Eur.\ Phys.\ J.\ C {\bf 13} (2000) 609
[hep-ex/9908059].
%%CITATION = HEP-EX 9908059;%%
%
\bibitem{h1svx}
 %\cite{Aid:1996au}
 S.~Aid {\it et al.}  [H1 Collaboration],
 %``A Measurement and QCD Analysis of the Proton Structure Function $F_2(x,Q~2)$ at HERA,''
 Nucl.\ Phys.\ B {\bf 470} (1996) 3
 [hep-ex/9603004]. \\
 %%CITATION = HEP-EX 9603004;%%
 %\cite{Adloff:1997mf}
 C.~Adloff {\it et al.}  [H1 Collaboration],
 %``A measurement of the proton structure function F2(x,Q**2) at low x and  low Q**2 at HERA,''
 Nucl.\ Phys.\ B {\bf 497} (1997) 3
 [hep-ex/9703012].
 %%CITATION = HEP-EX 9703012;%%
%
\bibitem{zeuslam}
 %\cite{Breitweg:1999dz}
 J.~Breitweg {\it et al.}  [ZEUS Collaboration],
 %``ZEUS results on the measurement and phenomenology of F2 at low x and  low Q**2,''
 Eur.\ Phys.\ J.\ C {\bf 7} (1999) 609
 [hep-ex/9809005].
 %%CITATION = HEP-EX 9809005;%%
%
\bibitem{dl}
 %\cite{Donnachie:1994it}
 A.~Donnachie and P.~V.~Landshoff,
 %``Proton structure function at small q**2,''
 Z.\ Phys.\ C {\bf 61} (1994) 139
 [hep-ph/9305319].
 %%CITATION = HEP-PH 9305319;%%
%
\end{thebibliography}

% ---------------------- all figures --------------------
%\input{papfigs107}
% 
% derivative vs. x in q2 bins 
%
\begin{figure}[ht]
\epsfig{file=fig1.eps,width=15.cm}
  \caption{ Measurement of the function \llam: the inner error bars 
    represent the statistical uncertainty; the full
    error bars include the systematic uncertainty added in quadrature;
    the solid curves represent the NLO QCD fit to the H1 cross section
    data described in~\cite{paper}; the dashed curves represent the
    extrapolation of the QCD fit below $Q^2 = 3.5 $ GeV$^2$.}
  \protect\label{lamx}
\end{figure}                                
%%
%% derivative vs q2 in x bins
%%
\begin{figure}[ht]
\epsfig{file=fig2.eps,width=15.cm}
  \caption{ Measurement of the function \llam: the inner error bars
    represent the statistical uncertainty; the
    full error bars include  the systematic uncertainty added in
    quadrature; the solid curves represent the NLO QCD fit to the H1
    cross section data described in~\cite{paper}; the minimum $Q^2$
    value of the data included in this fit is $Q^2 = 3.5 $
    GeV$^2$.  } \protect\label{lamq2}
\end{figure}                                
%
% lambda von max
%
\begin{figure}[ht]
 \epsfig{file=fig3a.eps,width=13.7cm}
 \epsfig{file=fig3b.eps,width=13.7cm}
  \caption{ Determination of  the coefficients $c(Q^2)$ (upper plot) and of the 
    exponents \lam (lower plot) from fits of the form $F_2(x,Q^2) =
    c(Q^2) x^{-\lambda(Q^2) }$ to the H1 structure function
    data~\cite{paper} for $x \leq 0.01$; the inner error bars
    illustrate the statistical uncertainties, the full error bars
    represent the statistical and systematic uncertainties added
    in quadrature. The straight lines represent the mean coefficient
    $c$ (upper plot) and a fit of the form $ a \ln
    [Q^2/\Lambda^2]$ (lower plot), respectively, using data for $Q^2
    \geq 3.5$ GeV$^2$.}
  \protect\label{lammax}
\end{figure}                                
%
%
%-----------------------------------------------------------------
% all the tables at the end
%-----------------------------------------------------------------
%
%-------------------
%-- d lnF2/d lnx part1  |
%-------------------
%
\begin{table}[h]  
\begin{tabular}{cc}
\begin{scriptsize}
  \begin{tabular}[t]{|c|l|c|r|r|r|}
  \hline
     \multicolumn{1}{|c|}{$Q^2$}   & & & & & \\
   $[$GeV$^2]$ & \multicolumn{1}{|c|}{\rb{$x$}} &  {\rb{$\lambda$}} & 
    \rb{$\delta_{sta}$} 
  & \rb{$\delta_{sys}$} & \rb{$\delta_{tot}$}    \\
  \hline
  \input{tab1l}
  \hline
  \end{tabular}
  \begin{tabular}[t]{|c|l|c|r|r|r|}
  \hline 
    \multicolumn{1}{|c|}{$Q^2$}   & & & & & \\
   $[$GeV$^2]$ & \multicolumn{1}{|c|}{\rb{$x$}} &  {\rb{$\lambda$}} & 
%       &      & $ -\partial \ln F_2 /$ & & & \\
%  \rb{$Q^2$} & \multicolumn{1}{|c|}{\rb{$x$}}& $ \partial \ln x$ & 
\rb{$\delta_{sta}$} 
  & \rb{$\delta_{sys}$} & \rb{$\delta_{tot}$}    \\
  \hline
  \input{tab1r}
  \hline
  \end{tabular}
\end{scriptsize}
\end{tabular}
%
\caption{ Measurement of the derivative $\lambda = -(\partial \ln F_2 / 
          \partial \ln x)_{Q^2}$ at fixed $Q^2$.  For the systematic 
uncertainties 
  the correlations between adjacent $x$ values are taken into account.
The total error is the squared sum of the statistical and 
systematic uncertainties, given as absolute values.}
\protect\label{tabder}
\end{table}
\newpage
%
%%%table lambda from fit
%
\begin{table}[h] \centering 
\begin{tabular}{|c|l|r|r|l|l|l|}
\hline
$Q^2 [GeV^2]$ &  $c$ & $\delta_{sta}^c$ & $\delta_{tot}^c$ & $ \lambda$ & $\delta_{sta}^{\lambda}$ & $\delta_{tot}^{\lambda}$    \\ \hline
\hline
\input{tab2}
\hline
\end{tabular}
%
\caption{The coefficients $c$ and
 exponents $\lambda$ from fits of the 
form $F_2(x,Q^2) = c(Q^2)x^{-\lambda(Q^2)}$
 using  H1 \Fc 
data~\cite{paper}, for $x \leq 0.01$, taking into account the 
systematic error correlations. Here $\delta_{sta}$
denotes the statistical uncertainty and $\delta_{tot}$
comprises all uncertainties added in quadrature. 
The uncertainties are given as absolute values.
They are symmetric to very good approximation, 
apart from the uncertainties of the coefficient $c(Q^2)$
at the edges of the $Q^2$ region.
} \label{tablam}
\end{table}
\newpage

\end{document}
%


tab1l.tex
    1.5 & 0.000041 & 0.225 & 0.052 & 0.131 & 0.141 \\
    1.5 & 0.000065 & 0.146 & 0.101 & 0.180 & 0.206 \\  
    2.0 & 0.000065 & 0.274 & 0.029 & 0.089 & 0.093 \\  
    2.0 & 0.000105 & 0.090 & 0.036 & 0.085 & 0.092 \\  
    2.0 & 0.000165 & 0.211 & 0.043 & 0.116 & 0.124 \\  
    2.0 & 0.000260 & 0.093 & 0.040 & 0.096 & 0.104 \\  
    2.0 & 0.000410 & 0.022 & 0.047 & 0.124 & 0.132 \\  
    2.0 & 0.000750 & 0.276 & 0.030 & 0.080 & 0.086 \\  
    2.0 & 0.00210  & 0.161 & 0.020 & 0.057 & 0.060 \\  
    2.5 & 0.000065 & 0.199 & 0.034 & 0.068 & 0.076 \\  
    2.5 & 0.000105 & 0.158 & 0.026 & 0.053 & 0.059 \\  
    2.5 & 0.000165 & 0.242 & 0.031 & 0.084 & 0.089 \\  
    2.5 & 0.000260 & 0.170 & 0.030 & 0.082 & 0.088 \\  
    2.5 & 0.000410 & 0.126 & 0.032 & 0.088 & 0.093 \\  
    2.5 & 0.000650 & 0.177 & 0.032 & 0.084 & 0.090 \\  
    2.5 & 0.00119  & 0.106 & 0.021 & 0.058 & 0.061 \\  
    2.5 & 0.00329  & 0.211 & 0.013 & 0.057 & 0.058 \\  
    3.5 & 0.000105 & 0.174 & 0.030 & 0.065 & 0.071 \\  
    3.5 & 0.000165 & 0.163 & 0.031 & 0.050 & 0.059 \\  
    3.5 & 0.000260 & 0.174 & 0.030 & 0.071 & 0.077 \\  
    3.5 & 0.000410 & 0.136 & 0.032 & 0.054 & 0.063 \\  
    3.5 & 0.000650 & 0.216 & 0.031 & 0.065 & 0.072 \\  
    3.5 & 0.00105  & 0.152 & 0.031 & 0.063 & 0.070 \\  
    3.5 & 0.00190  & 0.186 & 0.021 & 0.039 & 0.044 \\  
    3.5 & 0.00525  & 0.210 & 0.012 & 0.050 & 0.051 \\  
    5.0 & 0.000165 & 0.159 & 0.035 & 0.055 & 0.065 \\  
    5.0 & 0.000260 & 0.192 & 0.033 & 0.065 & 0.073 \\  
    5.0 & 0.000410 & 0.262 & 0.036 & 0.052 & 0.063 \\  
    5.0 & 0.000650 & 0.251 & 0.034 & 0.049 & 0.060 \\  
    5.0 & 0.00105  & 0.129 & 0.033 & 0.051 & 0.061 \\  
    5.0 & 0.00165  & 0.145 & 0.038 & 0.072 & 0.081 \\  
    5.0 & 0.00299  & 0.209 & 0.022 & 0.044 & 0.049 \\  
    5.0 & 0.00849  & 0.227 & 0.013 & 0.042 & 0.044 \\  
    6.5 & 0.000165 & 0.115 & 0.046 & 0.068 & 0.082 \\  
    6.5 & 0.000260 & 0.268 & 0.036 & 0.047 & 0.059 \\  
    6.5 & 0.000410 & 0.210 & 0.039 & 0.073 & 0.082 \\  
    6.5 & 0.000650 & 0.193 & 0.038 & 0.049 & 0.062 \\  
    6.5 & 0.00105  & 0.255 & 0.037 & 0.047 & 0.060 \\  
    6.5 & 0.00165  & 0.121 & 0.042 & 0.058 & 0.072 \\  
    6.5 & 0.00299  & 0.195 & 0.024 & 0.037 & 0.044 \\  
    6.5 & 0.00849  & 0.253 & 0.014 & 0.040 & 0.043 \\  
    8.5 & 0.000260 & 0.188 & 0.042 & 0.054 & 0.068 \\  
    8.5 & 0.000410 & 0.206 & 0.042 & 0.048 & 0.064 \\  
    8.5 & 0.000650 & 0.230 & 0.042 & 0.064 & 0.077 \\  
    8.5 & 0.00105  & 0.237 & 0.042 & 0.049 & 0.064 \\  
    8.5 & 0.00165  & 0.220 & 0.047 & 0.054 & 0.072 \\  
    8.5 & 0.00260  & 0.292 & 0.045 & 0.058 & 0.073 \\  
    8.5 & 0.00475  & 0.162 & 0.028 & 0.040 & 0.049 \\  
    8.5 & 0.0132   & 0.253 & 0.017 & 0.045 & 0.048 \\  
   12.0 & 0.000410 & 0.174 & 0.020 & 0.052 & 0.056 \\  
   12.0 & 0.000650 & 0.330 & 0.036 & 0.067 & 0.076 \\  
   12.0 & 0.00105  & 0.243 & 0.047 & 0.052 & 0.070 \\  
   12.0 & 0.00165  & 0.147 & 0.053 & 0.059 & 0.079 \\  
   12.0 & 0.00260  & 0.276 & 0.050 & 0.053 & 0.073 \\  
   12.0 & 0.00475  & 0.247 & 0.032 & 0.038 & 0.049 \\  
   12.0 & 0.0132   & 0.245 & 0.019 & 0.043 & 0.047 \\  
   15.0 & 0.000410 & 0.164 & 0.020 & 0.060 & 0.064 \\  
   15.0 & 0.000650 & 0.227 & 0.018 & 0.047 & 0.050 \\ 
   15.0 & 0.00105  & 0.296 & 0.018 & 0.074 & 0.076 \\   
   15.0 & 0.00165  & 0.266 & 0.021 & 0.055 & 0.059 \\   

tab1r.tex
   15.0 & 0.00260  & 0.238 & 0.021 & 0.045 & 0.050 \\  
   15.0 & 0.00410  & 0.199 & 0.024 & 0.050 & 0.056 \\  
   15.0 & 0.00750  & 0.292 & 0.016 & 0.041 & 0.044 \\  
   15.0 & 0.0210   & 0.206 & 0.013 & 0.057 & 0.059 \\  
   20.0 & 0.000650 & 0.227 & 0.019 & 0.048 & 0.052 \\  
   20.0 & 0.00105  & 0.234 & 0.019 & 0.041 & 0.045 \\  
   20.0 & 0.00165  & 0.284 & 0.022 & 0.082 & 0.085 \\  
   20.0 & 0.00260  & 0.293 & 0.022 & 0.051 & 0.055 \\  
   20.0 & 0.00410  & 0.206 & 0.025 & 0.049 & 0.055 \\  
   20.0 & 0.00750  & 0.289 & 0.016 & 0.038 & 0.041 \\  
   20.0 & 0.0210   & 0.246 & 0.012 & 0.063 & 0.064 \\  
   25.0 & 0.000650 & 0.244 & 0.027 & 0.055 & 0.061 \\  
   25.0 & 0.00105  & 0.291 & 0.020 & 0.045 & 0.050 \\  
   25.0 & 0.00165  & 0.246 & 0.024 & 0.081 & 0.084 \\  
   25.0 & 0.00260  & 0.244 & 0.024 & 0.047 & 0.053 \\  
   25.0 & 0.00410  & 0.348 & 0.027 & 0.053 & 0.059 \\  
   25.0 & 0.00650  & 0.274 & 0.028 & 0.051 & 0.058 \\  
   25.0 & 0.0119   & 0.273 & 0.020 & 0.056 & 0.060 \\  
   25.0 & 0.0329   & 0.178 & 0.016 & 0.060 & 0.062 \\  
   35.0 & 0.00105  & 0.335 & 0.025 & 0.049 & 0.055 \\  
   35.0 & 0.00165  & 0.334 & 0.026 & 0.047 & 0.054 \\  
   35.0 & 0.00260  & 0.213 & 0.026 & 0.077 & 0.081 \\  
   35.0 & 0.00410  & 0.295 & 0.030 & 0.051 & 0.059 \\  
   35.0 & 0.00650  & 0.283 & 0.030 & 0.048 & 0.057 \\  
   35.0 & 0.0105   & 0.293 & 0.033 & 0.070 & 0.077 \\  
   35.0 & 0.0190   & 0.261 & 0.026 & 0.042 & 0.049 \\  
   35.0 & 0.0525   & 0.194 & 0.023 & 0.076 & 0.079 \\  
   45.0 & 0.00165  & 0.374 & 0.031 & 0.053 & 0.061 \\  
   45.0 & 0.00260  & 0.270 & 0.028 & 0.043 & 0.052 \\  
   45.0 & 0.00410  & 0.262 & 0.033 & 0.068 & 0.075 \\  
   45.0 & 0.00650  & 0.342 & 0.035 & 0.049 & 0.060 \\  
   45.0 & 0.01050  & 0.277 & 0.037 & 0.058 & 0.069 \\  
   45.0 & 0.0190   & 0.325 & 0.029 & 0.055 & 0.062 \\  
   45.0 & 0.0525   & 0.263 & 0.025 & 0.056 & 0.061 \\  
   60.0 & 0.00260  & 0.379 & 0.033 & 0.054 & 0.063 \\  
   60.0 & 0.00410  & 0.356 & 0.038 & 0.081 & 0.089 \\  
   60.0 & 0.00650  & 0.246 & 0.040 & 0.051 & 0.064 \\  
   60.0 & 0.0105   & 0.340 & 0.042 & 0.061 & 0.074 \\  
   60.0 & 0.0165   & 0.311 & 0.053 & 0.070 & 0.088 \\  
   60.0 & 0.0299   & 0.225 & 0.039 & 0.052 & 0.065 \\  
   60.0 & 0.0849   & 0.255 & 0.035 & 0.064 & 0.073 \\  
   90.0 & 0.00410  & 0.245 & 0.043 & 0.063 & 0.076 \\  
   90.0 & 0.00650  & 0.363 & 0.044 & 0.081 & 0.092 \\  
   90.0 & 0.0105   & 0.310 & 0.047 & 0.061 & 0.077 \\  
   90.0 & 0.0165   & 0.392 & 0.058 & 0.081 & 0.100 \\  
   90.0 & 0.0299   & 0.291 & 0.042 & 0.043 & 0.060 \\  
   90.0 & 0.0849   & 0.340 & 0.039 & 0.035 & 0.052 \\  
  120.0 & 0.00650  & 0.410 & 0.068 & 0.066 & 0.095 \\  
  120.0 & 0.0105   & 0.252 & 0.061 & 0.107 & 0.124 \\  
  120.0 & 0.0165   & 0.498 & 0.074 & 0.102 & 0.126 \\  
  120.0 & 0.0260   & 0.161 & 0.079 & 0.095 & 0.124 \\  
  120.0 & 0.0475   & 0.267 & 0.065 & 0.063 & 0.091 \\  
  120.0 & 0.132    & 0.312 & 0.056 & 0.091 & 0.106 \\  
  150.0 & 0.00410  & 0.327 & 0.059 & 0.141 & 0.153 \\
  150.0 & 0.00650  & 0.397 & 0.075 & 0.204 & 0.218 \\
  150.0 & 0.01400  & 0.291 & 0.067 & 0.159 & 0.173 \\
  150.0 & 0.0260   & 0.545 & 0.150 & 0.158 & 0.218 \\  
  150.0 & 0.0475   & 0.408 & 0.122 & 0.102 & 0.159 \\  
  150.0 & 0.132    & 0.308 & 0.101 & 0.096 & 0.139 \\ 

tab2.tex
%%q2     c        c+-    ct+-     lam    dlam    dtlam
%%
          &            &$+$ 0.05  &$+$ 0.14  &           &           &           \\
 \rb{1.5} & \rb{0.10}  &$-$ 0.03  &$-$ 0.08  &\rb{0.20} &\rb{0.04} &\rb{0.10} \\ \hline
  2.0     &  0.172     & 0.005 & 0.024 & 0.159     &  0.003    &  0.015    \\ \hline
  2.5     &  0.167     & 0.003 & 0.012 & 0.169     &  0.002    &  0.009    \\ \hline
  3.5     &  0.180     & 0.003 & 0.009 & 0.179     &  0.002    &  0.007    \\ \hline
  5.0     &  0.181     & 0.004 & 0.011 & 0.196     &  0.003    &  0.008    \\ \hline
  6.5     &  0.190     & 0.005 & 0.014 & 0.202     &  0.004    &  0.009    \\ \hline
  8.5     &  0.181     & 0.005 & 0.014 & 0.223     &  0.004    &  0.010    \\ \hline
 12.0     &  0.182     & 0.005 & 0.015 & 0.240     &  0.004    &  0.011    \\ \hline
 15.0     &  0.184     & 0.003 & 0.013 & 0.250     &  0.002    &  0.010    \\ \hline
 20.0     &  0.186     & 0.003 & 0.013 & 0.260     &  0.003    &  0.011    \\ \hline
 25.0     &  0.178     & 0.004 & 0.017 & 0.274     &  0.004    &  0.014    \\ \hline
 35.0     &  0.180     & 0.005 & 0.018 & 0.286     &  0.005    &  0.016    \\ \hline
 45.0     &  0.173     & 0.007 & 0.019 & 0.302     &  0.007    &  0.017    \\ \hline
 60.0     &  0.158     & 0.010 & 0.023 & 0.332     &  0.011    &  0.024    \\ \hline
          &            &$+$ 0.025 &$+$ 0.045 &           &           &           \\
\rb{90.0} &\rb{0.197}  &$-$ 0.022 &$-$ 0.039 &\rb{0.304} &\rb{0.022} &\rb{0.040} \\ \hline
          &            &$+$ 0.045 &$+$ 0.065 &           &           &           \\
\rb{120.0}&\rb{0.117}  &$-$ 0.032 &$-$ 0.043 &\rb{0.408} &\rb{0.064} &\rb{0.089} \\ \hline
          &            &$+$ 0.04 &$+$ 0.12  &            &           &           \\
\rb{150.0}&\rb{0.17}   &$-$ 0.03 &$-$ 0.08  &\rb{0.36}   &\rb{0.04}  &\rb{0.11} \\

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