# Spontaneous mirror left-right symmetry breaking for leptogenesis parametrized by Majorana neutrino mass matrix

## TL;DR

This paper proposes a model where spontaneous mirror symmetry breaking in a left-right symmetric gauge theory generates lepton asymmetry, linking it to neutrino masses and explaining the cosmic baryon asymmetry.

## Contribution

It introduces a mirror fermion and Higgs framework within a left-right gauge symmetry that naturally produces lepton asymmetry related to neutrino mass matrices.

## Key findings

- Mirror Majorana neutrino decay generates lepton asymmetry.
- Lepton asymmetry is transferred to ordinary leptons via Yukawa couplings.
- Baryon asymmetry is consistent with neutrino mass matrix predictions.

## Abstract

We introduce a mirror copy of the ordinary fermions and Higgs scalars for embedding the $SU(2)_L\times U(1)_Y$ electroweak gauge symmetry into an $SU(2)_L\times SU(2)_R\times U(1)_{B-L}$ left-right gauge symmetry. We then show the spontaneous left-right symmetry breaking can automatically break the parity symmetry motivated by solving the strong CP problem. Through the $SU(2)_R$ gauge interactions, a mirror Majorana neutrino can decay into a mirror charged lepton and two mirror quarks. Consequently we can obtain a lepton asymmetry stored in the mirror charged leptons. The Yukawa couplings of the mirror and ordinary charged fermions to a dark matter scalar then can transfer the mirror lepton asymmetry to an ordinary lepton asymmetry which provides a solution to the cosmic baryon asymmetry in association with the $SU(2)_L$ sphaleron processes. In this scenario, the baryon asymmetry can be well described by the neutrino mass matrix up to an overall factor.