A 125 GeV Higgs boson mass and gravitino dark matter in R-invariant direct gauge mediation

We discuss the Standard Model-like Higgs boson mass in the Supersymmetric Standard Model in an R-invariant direct gauge mediation model with the gravitino mass in the O(1)keV range. The gravitino dark matter scenario in this mass range is a good candidate for a slightly warm dark matter. We show that the Higgs boson mass around 125 GeV suggested by the ATLAS and CMS experiments can be easily achieved in R-invariant direct gauge mediation models with the gravitino mass in this range.