Most attractive channel for self-breaking of grand unification group symmetry

TL;DR

This paper investigates the most attractive channel for symmetry breaking in a five-dimensional SU(5) grand unified theory, identifying scalar bound states that facilitate breaking to the Standard Model gauge group.

Contribution

It analyzes the formation of scalar bound states in a 5D SU(5) GUT with bulk fermions, highlighting the dominant channels leading to symmetry breaking.

Findings

Scalar bound states with largest binding for 24

Second largest binding for 5

Supports breaking pattern to Standard Model gauge group

Abstract

Most attractive channel is studied for SU(5) grand unified theory in five dimensions where 5* and 10 fermions and a 24 gauge boson propagate in the bulk. If there are bulk fermions with zero mode for the chirality opposite to quark and lepton multiplets, they can contribute to forming 5, 24, 50 and 75 scalar bound states. We find that the inclusion of a simple anomaly-free set for zero mode yields scalar bound states whose binding strengths are the largest for 24 and the second largest for 5. This corresponds to the breaking pattern of the SU(5) to color and electromagnetism via the standard model gauge group.