Spontaneous Left-Right Symmetry Breaking in Supersymmetric Models with only Higgs Doublets

TL;DR

This paper explores spontaneous left-right symmetry breaking in a supersymmetric model using Higgs doublets and a parity odd singlet, addressing neutrino masses and baryon asymmetry within a unified framework.

Contribution

It introduces a novel supersymmetric left-right model with Higgs doublets and a parity odd singlet, enabling spontaneous parity breaking and consistent neutrino mass generation.

Findings

Spontaneous parity breaking achieved with Higgs doublets and a parity odd singlet.

Neutrino masses generated via type III seesaw with added fermion singlets.

Baryon asymmetry produced through leptogenesis consistent with gauge unification.

Abstract

We studied the question of parity breaking in a supersymmetric left-right model, in which the left-right symmetry is broken with Higgs doublets (carrying $B-L=\pm 1$). Unlike the left-right symmetric models with triplet Higgs scalars (carrying $B-L=\pm 2$), in this model it is possible to break parity spontaneously by adding a parity odd singlet. We then discussed how neutrino mass of type III seesaw can be invoked in this model by adding extra fermion singlets. We considered simple forms of the mass matrices that are consistent with the unification scheme and demonstrate how they can reproduce the required neutrino mixing matrix. In this model, the baryon asymmetry of the universe is generated via leptogenesis. The required mass scales in the model is then found to be consistent with the gauge coupling unification.