# Universal Landau Pole and Physics below the 100 TeV Scale

## TL;DR

This paper explores the idea that all Standard Model gauge couplings could unify at a Landau pole in the ultraviolet, analyzing supersymmetric models with additional matter fields and their potential detectability at future colliders.

## Contribution

It provides a comprehensive numerical analysis of a unified Landau pole scenario with supersymmetry and extra matter, including extensions that could be tested at 100 TeV colliders.

## Key findings

- Additional matter or supersymmetry breaking scales are below current LHC bounds.
- Certain extensions can raise the new physics scale above LHC reach.
- Some models involve new gauge groups that explain the multiplicity of heavy states.

## Abstract

We reconsider the possibility that all standard model gauge couplings blow up at a common scale in the ultraviolet. The simplest implementation of this idea assumes supersymmetry and the addition of a single vector-like generation of matter fields around the TeV scale. We provide an up-to-date numerical study of this scenario and show that either the scale of the additional matter or the scale of supersymmetry breaking falls below potentially relevant LHC bounds. We then consider minimal extensions of the extra matter sector that raise its scale above the reach of the LHC, to determine whether there are cases that might be probed at a 100 TeV collider. We also consider the possibility that the heavy matter sector involves new gauge groups constrained by the same ultraviolet boundary condition, which in some cases can provide an explanation for the multiplicity of heavy states. We comment on the relevance of this framework to theories with dark and visible sectors.