# A link that matters: Towards phenomenological tests of unimodular asymptotic safety

## TL;DR

This paper explores how different quantum gravity models, especially unimodular asymptotic safety, can be tested phenomenologically by examining their constraints on the Standard Model's ultraviolet behavior.

## Contribution

It assesses the viability of various quantum gravity candidates by analyzing their ability to resolve Landau-pole issues in the Standard Model and investigates the universality of gravitational effects on matter beta functions.

## Key findings

- Quantum gravity constrains Standard Model couplings.
- Unimodular asymptotic safety can potentially solve Landau-pole problems.
- Dependence of gravitational contributions on regulators and gauges was studied.

## Abstract

Constraining quantum gravity from observations is a challenge. We expand on the idea that the interplay of quantum gravity with matter could be key to meeting this challenge. Thus, we set out to confront different potential candidates for quantum gravity -- unimodular asymptotic safety, Weyl-squared gravity and asymptotically safe gravity -- with constraints arising from demanding an ultraviolet complete Standard Model. Specifically, we show that within approximations, demanding that quantum gravity solves the Landau-pole problems in Abelian gauge couplings and Yukawa couplings strongly constrains the viable gravitational parameter space. In the case of Weyl-squared gravity with a dimensionless gravitational coupling, we also investigate whether the gravitational contribution to beta functions in the matter sector calculated from functional Renormalization Group techniques is universal, by studying the dependence on the regulator, metric field parameterization and choice of gauge.