$\tilde{A}_{t} \sim -4500{\,\textrm{GeV}}$ at weak scale. This drives more stop mixing, which helps $125 {\,\textrm{GeV}}$ Higgs mass. []{data-label="fig:At"}](lambdaA.eps){width="60.00000%"}

Fig. \[fig:At\] compares $A_t$ in the minimal gauge mediation and the neutrino assisted gauge mediation both at the messenger scale and the weak scale. Note that $A_t$ by itself is enhanced by 1.5 at the weak scale with the help of messenger scale $A_t$.

![Maximum values of Higgs mass as a function of $B_N$. For $\tan \beta = 10$, at least $B_N = 360 {\,\textrm{TeV}}$ is required to obtain $125{\,\textrm{GeV}}$ Higgs mass. For $\tan \beta = 30$, $B_N = 300 {\,\textrm{TeV}}$ is required. At two points $( \tan \beta = 10 , B_N = 360 {\,\textrm{TeV}})$, $( \tan \beta = 30 , B_N = 300 {\,\textrm{TeV}})$, we display sparticle spectrums in Table \[table:Spectrum125\]. Also spectrums with $123 {\,\textrm{GeV}}$ Higgs mass are given for $(\tan \beta = 10, B_N = 240 {\,\textrm{TeV}})$, $(\tan \beta = 30 , B_N = 200 {\,\textrm{TeV}})$. Sparticle spectrums are displayed in Table \[table:Spectrum123\].[]{data-label="fig:BNHiggs"}](maxhiggs.eps){width="80.00000%"}

Fig. \[fig:BNHiggs\] shows the relation between $B_N$ and the Higgs mass. The neutrino Dirac Yukawa coupling $y_\nu$ is chosen to be close to $0.72$ which can maximize the Higgs mass for given $B_N$.

In summary, 