# Viability of quantum-gravity induced ultraviolet completions for matter

## TL;DR

This paper explores how the requirement for a consistent ultraviolet completion of matter within quantum gravity constrains the properties and dynamics of asymptotically safe quantum gravity, with implications for particle physics predictions.

## Contribution

It introduces the weak-gravity bound and links Planck-scale physics to electroweak scale, providing constraints on quantum gravity models and predicting the top quark mass.

## Key findings

- Existence of an ultraviolet completion constrains quantum gravity dynamics.
- Strong quantum-gravity fluctuations can destroy matter scale-invariance.
- Predicts a finite top quark mass within certain gravitational coupling ranges.

## Abstract

We highlight how the existence of an ultraviolet completion for interacting Standard-Model type matter puts constraints on the viable microscopic dynamics of asymptotically safe quantum gravity within truncated Renormalization Group flows. A first constraint -- the weak-gravity bound -- is rooted in the destruction of quantum scale-invariance in the matter system by strong quantum-gravity fluctuations. A second constraint arises by linking Planck-scale dynamics to the dynamics at the electroweak scale. Specifically, we delineate how to extract a prediction of the top quark mass from asymptotically safe gravity and stress that a finite top mass could be difficult to accommodate in a significant part of the gravitational coupling space.