Right side of TeV scale spontaneousR-parity violation

Abstract

We study a simple extension of the minimal supersymmetric standard model in which the Abelian sector of the theory consists of $B\ensuremath{-}L$ and right-handed isospin. In the minimal model this Abelian gauge structure is broken to the standard model hypercharge gauge group by nonvanishing vacuum expectation values of the right-handed sneutrinos, resulting in spontaneous $R$-parity violation. This theory can emerge as a low energy effective theory of a left-right symmetric theory realized at a high scale. We determine the mass spectrum of the theory, and discuss the generation of neutrino masses and $R$-parity violating interactions. The possibility of distinguishing between $R$-parity violating models with a gauged $U(1{)}_{B\ensuremath{-}L}$ broken at the TeV scale at the Large Hadron Collider is discussed.