Structures of Neutrino Mass Spectrum and Lepton Mixing: Results of Violated Mirror Symmetry

TL;DR

This paper explores a violated mirror symmetry model that explains the complex structure of lepton mixing and neutrino masses, proposing specific conditions and deriving approximate neutrino mass values consistent with observations.

Contribution

It introduces a violated mirror symmetry framework that reproduces the observed lepton mixing matrix and predicts neutrino mass hierarchy and absolute mass scale.

Findings

Neutrino masses estimated as m1 ≈ m2 ≈ 0.05 eV, m3 ≤ 0.01 eV.

Inverse neutrino spectrum order is necessary for observed mixing angles.

Small mixing angle Θ13 explained by small mass ratios.

Abstract

The specific violated mirror symmetry model is capable of generating the observed lepton weak mixing matrix with a structure similar to the observed one that almost lacks any visible regularities (the "flavor riddle"). The peculiarities of the Standard Model (SM): quark and lepton mass hierarchy and the neutrino spectrum different from this hierarchy appear to be necessary conditions for reproduction of such a structure. The inverse order of the neutrino spectrum and a small value of the mass $m_{3}$ are here two other necessary conditions. The smallness of the angle $\Theta_{1,3}$ is determined then just by small mass ratios in the hierarchical lepton spectrum. The explanation is proposed for differences between the neutrino spectrum and other fermion spectra of SM. The inverse order of the neutrino spectrum and the observed $\Theta_{1,3}$ angle permit evaluation of the absolute values of neutrino masses: $m_{1}\sim m_{2}\sim 0.05$eV, $m_{3}\leq 0.01$eV.