Quark and lepton mixing matrices: manifestations of a violated mirror symmetry

TL;DR

This paper explores how heavy mirror fermions could explain the observed quark and lepton mixing matrices, suggesting mirror participation influences mass spectra and mixing properties, with implications for neutrino mass and nature.

Contribution

It proposes that mirror fermions can account for the observed differences in quark and lepton mixing matrices within the Standard Model framework.

Findings

Mirror states can produce the observed quark mixing matrix.

Lepton mixing can differ significantly from quark mixing due to mirror participation.

Results support an inverse neutrino mass spectrum and Dirac neutrinos.

Abstract

Existence of heavy mirror analogs of ordinary fermions could explain a thinkable paradox within the Standard Model direct parity violation. This paradox is an objectionable possibility to distinguish physically the left-handed and right-handed coordinate systems. Arguments are presented here that mirror states can also participate in the formation of the observed SM quark and lepton mass spectra and their weak mixing properties. 1. With participation of mirror generations, the quark mixing matrix is similar to the experimentally observed form. The latter is determined by the restrictions imposed by the weak symmetry SU(2) and by the quark mass hierarchy. 2. Under identical conditions and with participation of mirror particles, the lepton mixing (neutrino mixing) can become very different from its quark analog, the Cabibbo-Kobayashi-Maskawa matrix, i.e., it can acquire the qualities prompted by experiment. Such character of mixing evidences in favor of the inverse SM neutrino mass spectrum and the Dirac (non-Majorana) nature of neutrino.