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We discuss the minimal supersymmetric $U(1)_{B-L}\times U(1)_R$ extension ofthe standard model. Gauge couplings unify as in the MSSM, even if the scale of$U(1)_{B-L}\times U(1)_R$ breaking is as low as order TeV and the model can beembedded into an SO(10) grand unified theory. The phenomenology of the modeldiffers in some important aspects from the MSSM, leading potentially to richphenomenology at the LHC. It predicts more light Higgs states and the mostlyleft CP-even Higgs has a mass reaching easily 125 GeV, with no constraints onthe SUSY spectrum. Right sneutrinos can be the lightest supersymmetricparticle, changing all dark matter constraints on SUSY parameter space. Themodel has seven neutralinos and squark/gluino decay chains involve morecomplicated cascades than in the MSSM. We also discuss briefly low-energy andaccelerator constraints on the model, where the most important limits come fromrecent $Z'$ searches at the LHC and upper limits on lepton flavour violation.

Phenomenology of the minimal supersymmetric $U(1)_{B-L}\times U(1)_R$ extension of the standard model