SO(3) family symmetry and axions

Abstract

Motivated by the idea of Comprehensive Unification, we consider a gauged SO(3) flavor extension of the Standard Model, including right-handed neutrinos and a Peccei-Quinn symmetry. 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.

Spontaneous proton decay and the origin of Peccei–Quinn symmetry

“…Thus the resulting axion of our model also behaves like the Majoron of the canonical models. In addition, the connection of PQ symmetry to axial B + L implies a conceptual relation between the axion and neutrino mass scale in a similar way to [30]…”

“…This allows one, for instance, to define models with very different axion-photon coupling [22,23]. In addition, recently, a number of authors have made some insights in relating the PQ symmetry and the axion to flavor physics ([24-36]) 1 , unification [38][39][40][41][42], inflation ( [43][44][45][46][47][48] and neutrino mass generation ( [30,[49][50][51][52][53]).…”

Scotogenic dark matter in an orbifold theory of flavor

“…Therefore this is a realization of the Dirac scotogenic mass generation mechanism [5,8,9,12,13]. The presence of the family symmetry leads naturally to a "golden" quark-lepton mass relation [22][23][24][25][26][27].…”

“…These terms generate the mass matrices Since the above interactions leading to down-type-quark and lepton masses involve the same Higgs doublet, all of which are A 4 triplets, the golden relation between charged lepton and down quark masses [22][23][24][25][26][27] emerges as a prediction from the family symmetry…”

Family unification in special grand unification

“…There are some attempts to unify GUT and family groups into a larger GUT group in 4D and higher-dimensional theories [35][36][37][38][39][40][41][42]. However, such attempts are based on GUT groups and their limited subgroups so-called regular subgroups: e.g., E 8 ⊃ E 7 ⊃ E 6 ⊃ SO(10) ⊃ SU (5) ⊃ G SM (:= SU (3) C ×SU (2) L ×U (1) Y ).…”