Radiative Breaking of the Minimal Supersymmetric Left-Right Model

We study a variation to the SUSY Left-Right symmetric model based on the gauge group $SU(3{)}_c\times SU(2{)}_L\times SU(2{)}_R\times U(1{)}_{BL}$. Beyond the quark and lepton superfields we only introduce a second Higgs bidoublet to produce realistic fermion mass matrices. This model does not include any $SU(2{)}_R$ triplets. We calculate renormalization group evolutions of soft SUSY parameters at the one-loop level down to low energy. We find that an $SU(2{)}_R$ slepton doublet acquires a negative mass squared at low energies, so that the breaking of $SU(2{)}_R\times U(1{)}_{BL}\to U(1{)}_Y$ is realized by a non-zero vacuum expectation value of a right-handed sneutrino. Small neutrino masses are produced through neutrino mixings with gauginos. Mass limits on the $SU(2{)}_R\times U(1{)}_{BL}$ sector are obtained by direct search results at the LHC as well as lepton-gaugino mixing bounds from the LEP precision data.