Abstract
Motivated by the idea of comprehensive unification, we study a gauged SO(3) flavor extension of the extended Standard Model, including right-handed neutrinos and a Peccei-Quinn symmetry with simple charge assignments. The model accommodates the observed fermion masses and mixings and yields a characteristic, successful relation among them. The Peccei-Quinn symmetry is an essential ingredient.
Highlights
AND MOTIVATIONFor all its success, the Standard Model has many loose ends and shortcomings
In this paper we explore an SOð3Þ family symmetry model inspired by comprehensive unification
We develop a consistent flavor extension of the Standard Model in which the gauge symmetry is enlarged by adding the local SOð3ÞF family symmetry [22]
Summary
The Standard Model has many loose ends and shortcomings It leaves unexplained the threefold family replication, the observed pattern of quark and lepton masses and mixings, and the lack of CP violation in the strong interaction [1,2,3]. It does not account for the cosmological dark matter [4], and in its minimal form it leaves neutrinos massless [5]. (ii) extreme fine-tuning is not required, (iii) a characteristic “golden” formula relating quark and lepton masses, given in Eq (10) [13,14,15], (iv) a successful explanatory framework for the Cabibbo-Kobayashi-Maskawa (CKM) matrix, with two predictions, Eqs. (12) and (13), and (v) a conventional seesaw mechanism [8] [16,17,18,19,20,21] for neutrino mass generation at the Peccei-Quinn (PQ) scale, supplemented by a connection between lepton number and PQ breaking, which relates the axion and neutrino mass scales, Eq (18)
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