Triangular Textures for Quark Mass Matrices

TL;DR

This paper introduces a triangular parameterization of quark mass matrices based on hierarchical masses and small mixing angles, simplifying analysis and aiding model building in particle physics.

Contribution

It proposes a new triangular form for quark mass matrices that makes their physical content more transparent and useful for theoretical modeling.

Findings

Triangular form relates matrix elements to quark masses and CKM elements.

Simplifies interpretation of quark mass matrices.

Provides a basis for constructing and analyzing mass textures.

Abstract

The hierarchical quark masses and small mixing angles are shown to lead to a simple triangular form for the U- and D-type quark mass matrices. In the basis where one of the matrices is diagonal, each matrix element of the other is, to a good approximation, the product of a quark mass and a CKM matrix element. The physical content of a general mass matrix can be easily deciphered in its triangular form. This parameterization could serve as a useful starting point for model building. Examples of mass textures are analyzed using this method.