Bimaximal mixing from the leptonic new texture for triangular mass matrices

TL;DR

This paper explores a new triangular mass matrix texture that can produce bimaximal neutrino mixing patterns consistent with experimental data, providing exact parametrizations and analyzing implications for neutrino oscillation parameters.

Contribution

It introduces a novel leptonic mass matrix texture that naturally yields bimaximal mixing and derives an exact parametrization of the mixing matrix in terms of physical parameters.

Findings

Bimaximal and nearly bimaximal solutions are achievable within the proposed texture.

The model's predictions align with CHOOZ reactor experiment constraints.

The Jarlskog invariant remains small, consistent with CP violation observations.

Abstract

An analysis of the leptonic texture for the new triangular mass matrices has been carried out. In particular, it is shown that both bimaximal and nearly bimaximal solutions for solar and atmospheric neutrino anomalies can be generated within this pattern. We have also derived exact and compact parametrization of the leptonic mixing matrix in terms of the lepton masses and the parameters $\alpha, \beta'$ and $\delta$. A consistency with the CHOOZ reactor result for $V_m{_{13}}$ and a smallness of the Jarlskog's invariant parameter are obtained.