Weak Mixing Matrix Structures in the Broken Mirror Symmetry Model

TL;DR

This paper presents a mirror symmetry model explaining the structure of weak mixing matrices for quarks and leptons, linking them to fermion mass hierarchies without extra parameter fitting.

Contribution

It introduces a symmetry violation model that reproduces weak mixing matrix properties based on fermion mass hierarchies and neutrino spectrum characteristics.

Findings

Reproduces CKM and PMNS matrix properties without parameter fitting

Links CKM hierarchy to quark mass spectrum

Explains small neutrino mixing angle theta_13

Abstract

A model of symmetry violation is described for a system that can spontaneously choose the left-handed or right-handed character of weak currents. For the hierarchic structure of fermion mass spectra, such a mirror symmetry system allows reproduction of all qualitative properties of weak mixing matrices for both quarks (CKM matrix) and leptons (PMNS matrix),and at that, without additional numerical fitting of model parameters. The hierarchy of CKM matrix elements is directly stipulated by the hierarchical mass spectrum of quark generations. The qualitative properties of the PMNS matrix arise for the inverse character of the neutrino spectrum (m_3 is the smallest mass) and Dirac nature of SM neutrino. The comparatively small value of the neutrino mixing angle theta_13 is a consequence of the smallness of m_3 and the smallness of the charged lepton mass ratio m_e/m_mu.