Neutrino Assisted Gauge Mediation

Recent observation shows that the Higgs mass is at around 125 GeV while the prediction of the minimal supersymmetric standard model is below 120 GeV for stop mass lighter than 2 TeV unless the top squark has a maximal mixing. We consider the right-handed neutrino supermultiplets as messengers in addition to the usual gauge mediation to obtain sizeable tri-linear soft parameters $A_t$ needed for the maximal stop mixing. Neutrino messengers can explain the observed Higgs mass for stop mass around 1 TeV. Neutrino assistance can also generate charged lepton flavor violation including $\mu \to e \gamma$ as a possible signature of the neutrino messengers. We consider $S_4$ discrete flavor model and show the relation of the charged lepton flavor violation, $\theta_{13}$ of neutrino oscillation and muon $g-2$.