Minimal gauged U(1)_{B-L} model with spontaneous R-parity violation

TL;DR

This paper explores a minimal supersymmetric model with gauged B-L symmetry where spontaneous R-parity violation occurs through right-handed sneutrino VEVs, linking B-L breaking, neutrino masses, and collider signals.

Contribution

It demonstrates that spontaneous R-parity violation can naturally arise in a minimal gauged B-L supersymmetric model without extending the Higgs sector.

Findings

R-parity is spontaneously broken by right-handed sneutrino VEVs.

The model provides a mechanism for neutrino mass generation.

It predicts collider signatures involving Z' gauge bosons.

Abstract

We study the minimal gauged U(1)_{B-L} supersymmetric model and show that it provides an attractive theory for spontaneous R-parity violation. Both U(1)_{B-L} and R-parity are broken by the vacuum expectation value of the right-handed sneutrino (proportional to the soft SUSY masses), thereby linking the B-L and soft SUSY scales. In this context we find a consistent mechanism for generating neutrino masses and a realistic mass spectrum, all without extending the Higgs sector of the minimal supersymmetry standard model. We discuss the most relevant collider signals and the connection between the Z' gauge boson and R-parity violation.