Unified Pati-Salam from Noncommutative Geometry: Overview and Phenomenological Remarks

TL;DR

This paper reviews noncommutative geometry-derived Pati-Salam models that unify gauge couplings and have distinctive phenomenology, especially focusing on the scalar leptoquark $S_1$, to guide collider searches for new physics.

Contribution

It provides an overview of Pati-Salam models derived from noncommutative geometry with gauge unification and discusses their phenomenological implications, particularly the scalar leptoquark $S_1$.

Findings

Models exhibit gauge coupling unification.

Limited scalar content with distinctive phenomenology.

Focus on the scalar leptoquark $S_1$ for collider searches.

Abstract

The lack of clear new-physics signals at the LHC searches motivates models that can guide current and future collider searches. The spectral action principle within the noncommutative geometry (NCG) framework yields such models with distinctive phenomenology. This formalism derives the actions of the Standard Model, General Relativity, and beyond from the underlying algebra, putting them on a common geometric footing. Certain versions of Pati-Salam (PS) models with gauge coupling unification and limited scalar content can be derived from an appropriate noncommutative algebra. In this paper, I review these gauge-coupling-unified Pati-Salam models and discuss their phenomenological aspects, focusing on the $S_1$ scalar leptoquark.