gauge mediation. If the messenger scale is at around the See-Saw scale, the natural question is why the right-handed neutrino supermultiplets do not serve as messengers of supersymmetry breaking. Apparently there is no harm to couple the right-handed neutrino superfields directly to the messengers. Majorana mass of the right-handed neutrino and the messenger mass of ordinary ${\bf 5}$ and ${\bf \bar{5}}$ might have the same origin in this case. In summary, the minimal set of messengers are ${\bf 5}$, ${\bf \bar{5}}$ and ${\bf 1}$. This is different from previous studies relating gauge mediation and See-Saw mechanism [@Joaquim:2006uz; @Mohapatra:2008wx; @FileviezPerez:2009im]. They employ particles relevant to See-Saw mechanism as messengers, and these particles are also charged under the SM gauge group, which can be seen in the Type-II or Type-III See-Saw. Therefore, gauge mediation and neutrino Dirac Yukawa mediation have a common messenger. In our case, in contrast, neutrino Dirac Yukawa messenger is the right-handed neutrino, the SM singlet.

If the right-handed neutrinos couple to the supersymmetry breaking field, neutrino Dirac Yukawa coupling generates the A term and soft scalar mass of lepton doublet and up-type Higgs at the See-Saw scale after integrating out the neutrino messengers. 125 GeV Higgs mass can 