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arXiv · 1301.7065

Quark-Lepton Mass Relation in a Realistic A4 Extension of the Standard Model

Abstract

We propose a realistic A4 extension of the Standard Model involving a particular quark-lepton mass relation, namely that the ratio of the third family mass to the geometric mean of the first and second family masses are equal for down-type quarks and charged leptons. This relation, which is approximately renormalization group invariant, is usually regarded as arising from the Georgi-Jarlskog relations, but in the present model there is no unification group or supersymmetry. In the neutrino sector we propose a simple modification of the so called Zee-Wolfenstein mass matrix pattern which allows an acceptable reactor angle along with a deviation of the atmospheric and solar angles from their bi-maximal values. Quark masses, mixing angles and CP violation are well described by a numerical fit.

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S. F. King, S. Morisi, E. Peinado, J. W. F. Valle. 2013-09-04. Quark-Lepton Mass Relation in a Realistic A4 Extension of the Standard Model. https://doi.org/10.1016/j.physletb.2013.05.067

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