Phases of Confining SU(5) Chiral Gauge Theory with Three Generations

TL;DR

This paper investigates the low energy phases of a non-supersymmetric SU(5) chiral gauge theory with three generations, revealing multiple possible vacua and phase transitions influenced by supersymmetry breaking mechanisms.

Contribution

It systematically analyzes the phases of an SU(5) chiral gauge theory with three generations, identifying potential vacua and the impact of supersymmetry breaking methods.

Findings

Multiple consistent low energy vacua identified.

A phase transition is possible with large SUSY breaking.

Anomaly mediation guarantees the phase transition.

Abstract

We explore the possible low energy phases of the confining non-supersymmetric $SU(5)$ chiral gauge theory with three generations of fermions in the $(10+\bar{5})$ representations. This theory has the same fermion and gauge matter content as the simplest Georgi-Glashow grand unified theory of the Standard Model and has an $SU(3)\times SU(3)\times U(1)$ global symmetry. Using 't Hooft anomaly matching, most attractive channel, and soft SUSY breaking approaches, we outline a number of possible consistent low energy vacua including one with a remnant $SO(3)\times U(1)$ symmetry that is analogous to the one-generation model. For the soft SUSY breaking approach, we find that as one extrapolates to large SUSY breaking to recover the original theory, a phase transition is possible. We show that such a phase transition is guaranteed if SUSY breaking is communicated via anomaly mediation.