Texture Zeros and WB Transformations in the Quark Sector of the Standard Model

Abstract

Stimulated by the recent attention given to the texture zeros found in the quark mass matrices sector of the Standard Model, an analytical method for identifying (or to exclude) texture zeros models will be implemented here, starting from arbitrary quark mass matrices and making a suitable weak basis transformation, we are be able to find equivalent quark mass matrix. It is shown that the number of non-equivalent quark mass matrix representations is finite. We give exact numerical results for parallel and non-parallel four-texture zeros models. We find that some five-texture zeros Ans$\ddot{\text{a}}$tze are in agreement with all present experimental data. And we confirm definitely that six-texture zeros of Hermitian quark mass matrices are not viable models anymore.

19 pages, version 3 corrects for typos, text minor updated, improvements in the text, numerical physical data updated

References in corpus (2)

• Updated Values of Running Quark and Lepton Masses
• Impacts of the Higgs mass on vacuum stability, running fermion masses and two-body Higgs decays

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• Five texture zeros in the lepton sector and neutrino oscillations at DUNE
• Exploring the predictability of symmetric texture zeros in quark mass matrices
• CKM mixings from mass matrices with five texture zeros
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• Comment on "Texture Zeros and WB Transformations in the Quark Sector of the Standard Model"