Gauge couplings evolution from the Standard Model, through Pati-Salam theory, into $E_8$ unification of families and forces

TL;DR

This paper investigates the unification of Standard Model gauge interactions into an $E_8$ framework via Pati-Salam theory, using orbifold compactification and RG evolution to identify promising new physics scenarios.

Contribution

It presents a novel approach to unifying matter and gauge sectors into $E_8$ through orbifold compactification and RG analysis, proposing benchmark scenarios for future phenomenology.

Findings

Established benchmark scenarios for new physics

Demonstrated gauge coupling unification pathways

Proposed $E_8$ unification framework

Abstract

We explore the potential of ultimate unification of the Standard Model matter and gauge sectors into a single $E_8$ superfield in ten dimensions via an intermediate Pati-Salam gauge theory. Through a consistent realisation of a $\mathbb{T}^6/(\mathbb{Z}_6\times \mathbb{Z}_2)$ orbifolding procedure accompanied by the Wilson line breaking mechanism and Renormalisation Group evolution of gauge couplings, we have established several benchmark scenarios for New Physics that are worth further phenomenological exploration.