The Standard Model quark/lepton masses and the Cabibbo-Kobayashi-Maskawa mixing in an ${\rm SU}(8)$ theory

TL;DR

This paper presents an ${ m SU}(8)$ grand unified theory that explains the mass hierarchies and CKM mixing pattern of quarks and leptons through a detailed symmetry breaking process involving gravity-induced operators.

Contribution

It introduces a novel ${ m SU}(8)$ framework with a specific symmetry breaking pattern that accounts for SM flavor structures and mixing.

Findings

Successful modeling of quark/lepton mass hierarchies

Reproduction of CKM mixing pattern

Incorporation of gravity-induced operators in flavor structure

Abstract

The observed Standard Model (SM) quark/lepton mass hierarchies and the Cabibbo-Kobayashi-Maskawa (CKM) mixing pattern are described in an ${\rm SU}(8)$ theory through its realistic symmetry breaking pattern with three intermediate stages, which rely on a set of $d=5$ gravity-induced operators that break the emergent global symmetries in the chiral fermion sector, as well as the precise identifications of all non-trivially embedded SM flavors.