Spontaneous Parity Violation in a Supersymmetric Left-Right Symmetric Model

TL;DR

This paper introduces a new supersymmetric left-right symmetric model that achieves spontaneous parity violation while maintaining R parity, extending the Higgs sector and reproducing key neutrino mass relations.

Contribution

It presents a novel implementation of spontaneous parity breaking in a supersymmetric framework with an extended Higgs sector, avoiding previous issues and linking neutrino masses to symmetry breaking scales.

Findings

Successfully achieves spontaneous parity violation in the model.

Reproduces the see-saw relation for vacuum expectation values.

Connects heavy neutrino masses to observed neutrino masses.

Abstract

We propose a novel implementation of spontaneous parity breaking in supersymmetric left-right symmetric model, avoiding some of the problems encountered in previous studies. This implementation includes a bitriplet and a singlet, in addition to the bidoublets which extend the Higgs sector of the Minimal Supersymmetric Standard Model (MSSM). The supersymmetric vacua of this theory are shown to lead generically to spontaneous violation of parity, while preserving R parity. The model is shown to reproduce the see-saw relation for vacuum expectation values, $v_L v_R \approx m_{EW}^2$ relating the new mass scales $v_L$, $v_R$ to the electroweak scale $m_{EW}$, just as in the non-supersymmetric version. The scale $v_R$ determines the mass scale of heavy majorana neutrinos, which gets related to the obeserved neutrino masses through type II see-saw relation.