Neutrino masses, cosmological bound and four zero Yukawa textures

TL;DR

This paper explores highly constrained neutrino mass models with four zero Yukawa textures, analyzing their predictions for neutrino masses, CP violation, and potential signals in neutrinoless double beta decay and cosmology.

Contribution

It introduces a predictive neutrino mass scheme combining four zero Yukawa textures, $$ symmetry, and type-I seesaw, with detailed phenomenological implications.

Findings

Neutrino masses are predicted within specific ranges consistent with current data.

The sum of neutrino masses could be probed by cosmological observations.

CP violation could be significant, with a Jarlskog invariant approaching 6×10^{-3}.

Abstract

Four zero neutrino Yukawa textures in a specified weak basis, combined with $\mu\tau$ symmetry and type-I seesaw, yield a highly constrained and predictive scheme. Two alternately viable $3\times3$ light neutrino Majorana mass matrices $m_{\nu A}/m_{\nu B}$ result with inverted/normal mass ordering. Neutrino masses, Majorana in character and predicted within definite ranges with laboratory and cosmological inputs, will have their sum probed cosmologically. The rate for $0\nu\beta\beta$ decay, though generally below the reach of planned experiments, could approach it in some parameter region. Departure from $\mu\tau$ symmetry due to RG evolution from a high scale and consequent CP violation, with a Jarlskog invariant whose magnitude could almost reach $6\times 10^{-3}$, are explored.