Neutrino mass characteristics in a phenomenological 3+2+1 model

TL;DR

This paper explores the properties of neutrinos, including mass and mixing parameters, within a phenomenological 3+2+1 model, analyzing experimental data and proposing relations for neutrino characteristics relevant for future experiments.

Contribution

It introduces a 3+2+1 neutrino model and provides numerical analysis of neutrino mass matrix elements and CP phases based on experimental data.

Findings

Allowed neutrino mass matrix elements are numerically determined.

Phenomenological relations for neutrino masses and mixing parameters are discussed.

Estimated sterile neutrino masses and CP phases can inform future experiments.

Abstract

The basic characteristics used for the description of both Dirac and Majorana massive neutrinos are studied. Currently available experimental data for these characteristics are presented with an evidence of possible anomalies beyond the Standard Model with three light neutrinos. Special attention has been paid to ways to determine the neutrino mass absolute scale. In accordance with the available data, the permissible values of the neutrino mass matrix elements are found numerically against the minimal mass of neutrino. Some phenomenological relations for the masses, the angles and the CP-violating phases of the neutrino mixing matrix are discussed, and the values of the neutrino mass characteristics and the Dirac CP-violating phase are evaluated for a model of bimodal neutrinos. The estimations made for masses of sterile neutrinos, the values of the neutrino mass characteristics and the Dirac CP-violating phase can be used for interpretation and prediction of the results of various neutrino experiments.