Reconstruction of Quark Mass Matrices with Weak Basis Texture Zeroes from Experimental Input

TL;DR

This paper reconstructs quark mass matrices with texture zeroes from experimental data, analyzing their structure at different energy scales within various theoretical models.

Contribution

It systematically reconstructs quark mass matrices with texture zeroes at electroweak and GUT scales across multiple models, exploring their power structures from Froggatt-Nielsen mechanisms.

Findings

Reconstructed quark mass matrices with up to three texture zeroes.

Identified viable power structures consistent with experimental data.

Compared textures across Standard Model, MSSM, and two Higgs doublet models.

Abstract

All quark mass matrices with texture zeroes obtained through weak basis transformations are confronted with the experimental data. The reconstruction of the quark mass matrices M_u and M_d at the electroweak scale is performed in a weak basis where the matrices are Hermitian and have a maximum of three vanishing elements. The same procedure is also accomplished for the Yukawa coupling matrices at the grand unification scale in the context of the Standard Model and its minimal supersymmetric extension as well as of the two Higgs doublet model. The analysis of all viable power structures on the quark Yukawa coupling matrices that could naturally appear from a Froggatt-Nielsen mechanism is also presented.