A little more gauge mediation and the light Higgs mass

We consider minimal models of gauge mediated supersymmetry breaking with an extra U(1)U(1) factor in addition to the Standard Model gauge group. A U(1)U(1) charged, Standard Model singlet is assumed to be present which allows for an additional NMSSM like coupling, λHuHdSλHuHdS. The U(1)U(1) is assumed to be flavour universal. Anomaly cancellation in the MSSM sector requires additional coloured degrees of freedom. The S field can get a large vacuum expectation value along with consistent electroweak symmetry breaking. It is shown that the lightest CP even Higgs boson can attain mass of the order of 125 GeV.