Spontaneous violation of mirror symmetry

TL;DR

This paper explores a model where spontaneous mirror symmetry violation explains quark and lepton mixing, suggesting neutrinos are Dirac particles with an inverse mass spectrum, and predicts lepton number exchange processes involving only leptons.

Contribution

It introduces a symmetry violation model that accounts for observed mixing matrices and neutrino properties, proposing a spontaneous symmetry breaking mechanism.

Findings

Mirror symmetry violation reproduces quark and lepton mixing properties

Supports inverse neutrino mass spectrum and Dirac neutrinos

Predicts lepton number exchange processes with only leptons

Abstract

A symmetry violation model is considered for a system that can spontaneously choose between identical states which differ from each other only in weak properties (R-L). Such mirror symmetry allows reproduction of observed qualitative properties of quark and lepton mixing matrices. The lepton mixing matrix evidences in this case in favor of the inverse mass spectrum and the Dirac nature of SM neutrino. Notwithstanding the Dirac properties of neutrino, an exchange of lepton numbers such as $e^{-}+\mu^{+}\rightarrow e^{+}+\mu^{-}$ is possible but with only leptons participating in the process.