Quantum gravity contributions to the gauge and Yukawa couplings in proper time flow
We derive quantum-gravity contributions to gauge and Yukawa beta functions using the Schwinger proper-time flow equation, quantifying their gauge-fixing and regulator dependence.
Gabriele Giacometti, Kamila Kowalska, Daniele Rizzo, Enrico Maria Sessolo, Dario Zappala
Abstract
We derive quantum gravity contributions to the beta functions of the gauge and Yukawa couplings of a matter theory using the Schwinger proper-time flow equation. Working in the Einstein-Hilbert truncation, we investigate the gauge-fixing and regulator dependence of the corresponding renormalization group equations. We quantify the sensitivity of our results on unphysical parameters by evaluating the gravitational correction to the running matter couplings at the interactive fixed point of gravity and we compare our findings with existing determinations in alternative schemes. We finally confront the derived contributions with the typical size they should assume to generate observable low-scale predictions in the Standard Model and in several scenarios of new physics.
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@article{2604.03033,
title = {Quantum gravity contributions to the gauge and Yukawa couplings in proper time flow},
author = {Giacometti, Gabriele and Kowalska, Kamila and Rizzo, Daniele and Sessolo, Enrico Maria and Zappala, Dario},
year = {2026},
eprint = {2604.03033},
archivePrefix = {arXiv}
}