We present a class of models in the framework of gauge mediation supersymmetry breaking where the standard model is supplemented by additional $U(1)$ symmetry which acts only on the third generation fermions. The messenger fields carry a nontrivial $U(1)$ charge and are vectorlike particles under this symmetry. This leads to additional contributions to the soft supersymmetry breaking mass terms for the third-generation squarks and sleptons. In this framework we show that the muon $g-2$ anomaly, the observed 125 GeV Higgs boson mass and the detected relic dark matter abundance (gravitino in our case) can be simultaneously accommodated. The resolution of the muon $g-2$ anomaly, in particular, yields the result that masses of squarks in the first two families, as well the gluino mass, should be $\lesssim 2.5\mathrm{TeV}$, which will be tested at LHC14.

• Received 9 October 2015

DOI:https://doi.org/10.1103/PhysRevD.92.115014