Yukawa interactions in Quantum Gravity
Abstract
We present the first complete next-to-leading-order analysis of a Yukawa system within the framework of asymptotically safe quantum gravity. Our results are obtained through a systematic resummation of higher-order operators, revealing two distinct resummation mechanisms -- one of which has not been explored previously. In addition, we introduce a novel approach to estimate systematic uncertainties by simulating the impact of neglected higher-order contributions. We demonstrate that quantum gravity fluctuations anti-screen Yukawa interactions, thereby resolving previously inconclusive leading-order results. This anti-screening mechanism enables the generation of finite interactions from an asymptotically free Yukawa fixed point. Consequently, our findings provide strong evidence that non-vanishing Yukawa couplings are compatible with asymptotically safe quantum gravity, which is a necessary requirement for the Standard Model to emerge from an asymptotically safe ultraviolet completion.
Cite
@article{arxiv.2510.09572,
title = {Yukawa interactions in Quantum Gravity},
author = {Gustavo P. de Brito and Manuel Reichert and Marc Schiffer},
journal= {arXiv preprint arXiv:2510.09572},
year = {2025}
}
Comments
6 pages, 3 figures, plus supplemental material