Embedding the Pentagon

TL;DR

This paper presents an embedding of the Pentagon supersymmetric model into a larger gauge group, addressing key issues like doublet-triplet splitting and proton decay, while proposing solutions for fermion mass generation.

Contribution

It introduces an SU(5) x SU(5) x SU(5) embedding of the Pentagon model and proposes mechanisms to solve fermion mass and proton decay problems.

Findings

Successfully embeds the Pentagon into a GUT-scale gauge group

Addresses doublet-triplet splitting and proton decay constraints

Proposes solutions for fermion mass generation

Abstract

The Pentagon Model is an explicit supersymmetric extension of the Standard Model, which involves a new strongly-interacting SU(5) gauge theory at TeV-scale energies. We show that the Pentagon can be embedded into an SU(5) x SU(5) x SU(5) gauge group at the GUT scale. The doublet-triplet splitting problem, and proton decay compatible with experimental bounds, can be successfully addressed in this context. The simplest approach fails to provide masses for the lighter two generations of quarks and leptons; however, this problem can be solved by the addition of a pair of antisymmetric tensor fields and an axion.