The coupling constants for an electroweak model with a $SU(4)_{PS} \otimes SU(4)_{EW}$ unification symmetry

TL;DR

This paper explores a grand unification model combining Pati-Salam and electroweak symmetries, deriving relations among coupling constants and mixing angles across energy scales, including right-handed neutrinos.

Contribution

It introduces a symmetry breaking sequence for an $SU(4)_{PS} imes SU(4)_{EW}$ model, establishing consistent coupling and mixing angle relations up to the electromagnetic scale.

Findings

Derived coupling constant relations at grand unification energy.

Established mixing angle relations across energy scales.

Included right-handed neutrinos in the symmetry breaking framework.

Abstract

We introduce the sequence of spontaneous symmetry breaking of a coupling between Pati-Salam and electroweak symmetries $SU(4)_{PS} \otimes SU(4)_{EW}$ in order to establish a mathematically consistent relation among the coupling constants at grand unification energy scale. With the values of baryon minus lepton quantum numbers of known quarks and leptons, by including right-handed neutrinos, we can find the mixing angle relations at different energy levels up to the electromagnetic $U(1)_{EM}$ scale.