Gravitational Corrections to Yukawa and Phi^4 Interactions

TL;DR

This paper investigates how quantum gravity affects the behavior of Yukawa and Phi^4 interactions, revealing that gravity influences coupling constants for massive particles but not their masses.

Contribution

It provides the first calculation of quantum gravitational corrections to Yukawa and Phi^4 interactions at lowest order, highlighting their impact on coupling constants.

Findings

Gravity modifies the running of coupling constants for massive particles.

Gravitational effects do not alter the running of particle masses.

Quantum gravity contributions depend on particle mass.

Abstract

We consider the lowest order quantum gravitational corrections to Yukawa and Phi^4 interactions. Our results show that quantum gravity leads to contributions to the running coupling constants if the particles are massive and therefore alters the scaling behavior of the Standard Model. Furthermore, we find that the gravitational contributions to the running of the masses vanish.