SU(5) & A4

TL;DR

This paper explores combining the A4 flavor symmetry with the SU(5) grand unified theory to address flavor physics issues like fermion mass hierarchy and mixing angles within a realistic Standard Model extension.

Contribution

It proposes a novel framework merging A4 flavor symmetry with SU(5) GUT to better understand flavor structures and their implications in particle physics.

Findings

Provides a theoretical model integrating A4 and SU(5) symmetries.

Addresses fermion mass hierarchy and mixing angles.

Suggests a pathway for realistic flavor symmetry implementation.

Abstract

The introduction of a Flavour Symmetry can represent an interesting way in which one can try to find an answer to some intriguing problems in Flavour Physics, like the hierarchy between the fermion masses or the particular values of mixing angles. In the meantime the necessity to set this symmetry in a realistic context grows up; this context should be able to enlarge our incomplete knowledge of fundamental interactions as described in the framework of the Standard Model. Following this direction a merging between A(4) and SU(5) can be possible.