Radiative symmetry breaking in supersymmetricB−Lmodels with an inverse seesaw mechanism

Abstract

We study the radiative symmetry breaking of $B\ensuremath{-}L$ in supersymmetric models with an inverse seesaw mechanism. We show that for a wide region of parameter space, the radiative corrections can drive the squared mass of the extra Higgs boson from positive initial values at the GUT scale to negative values at the TeV scale, leading to the spontaneous breaking of the $B\ensuremath{-}L$ symmetry. We also emphasize that in this class of models, unlike the supersymmetric $B\ensuremath{-}L$ models with a type-I seesaw, the right-handed sneutrino cannot get a nonzero vacuum expectation value. Therefore, $B\ensuremath{-}L$ can be radiatively broken, while $R$ parity remains an exact symmetry.