2-zeroes texture and the Universal Texture Constraint

TL;DR

This paper explores a 2-zero texture mass matrix model for quarks and leptons, demonstrating it can effectively describe fermion masses and mixing with fewer parameters, using a hybrid search algorithm.

Contribution

It introduces a 2-zero texture scheme with an additional parameter, improving fermion mass and mixing descriptions and proposing a stronger universal texture constraint.

Findings

Leptons and quarks can be described by the same 1-zero structure.

A narrow parameter space allows the same values for charged leptons and neutrinos.

The approach improves predictive power with low complexity.

Abstract

Texture matrices are a way of mitigating the redundancy inherent in the description of flavor physics via Yukawa couplings by eliminating some entries in order to identify relevant parameters. A four-zero texture scheme has been used in the literature to successfully describe fermion masses and mixing. However, as we show in this work, improving experimental constraints require an update to this analysis. In this paper the implications of a 2-zero texture mass matrix is studied for quarks and leptons. We show that the introduction of a new parameter in each mass matrix allow us to reach good results with relative low cost in predictability. We report a numerical study using a hybridized nature-inspired/cellular automata search algorithm. We find that leptons and quarks can be described by the same 1-zero structure. We describe some scenarios where a simplified description can be achieved, including a narrow region in parameter space where the same values describe charged leptons and neutrinos, which is a stronger version of a previously proposed Universal Texture Constraint.