Family Replicated Gauge Group Models

TL;DR

This paper reviews Family Replicated Gauge Group models, demonstrating their ability to fit Standard Model fermion masses, mixing angles, and neutrino data with minimal parameters, and discusses potential unification at high energy scales.

Contribution

It introduces a specific Family Replicated Gauge Group model that accurately describes fermion properties and neutrino data with only five free parameters, and explores unification possibilities.

Findings

Model fits fermion masses and mixing angles.

Model describes neutrino data order magnitudewise.

Potential for GUT-scale unification is considered.

Abstract

Family Replicated Gauge Group models of the type SU(n)^N\times SU(m)^N, (SMG)^3 and (SMG\times U(1)_{B-L})^3 are reviewed, where SMG=SU(3)_{c}\times SU(2)_{L}\times U(1)_{Y} is the gauge symmetry group of the Standard Model, $B$ is the baryon and $L$ is the lepton numbers, respectively. It was shown that Family Replicated Gauge Group model of the latter type fits the Standard Model fermion masses and mixing angles and describes all neutrino experiment data order magnitudewise using only 5 free parameters -- five vacuum expectation values of the Higgs fields which break the Family Replicated Gauge Group symmetry to the Standard Model. The possibility of [SU(5)]^3 or [SO(10)]^3 unification at the GUT-scale \sim 10^{18} GeV also is briefly considered.