Non-minimal coupling in Higgs–Yukawa model with asymptotically safe gravity

Abstract

We study the fixed point structure of the Higgs-Yukawa model, with its scalar\nbeing non-minimally coupled to the asymptotically safe gravity, using the\nfunctional renormalization group. We have obtained the renormalization group\nequations for the cosmological and Newton constants, the scalar mass-squared\nand quartic coupling constant, and the Yukawa and non-minimal coupling\nconstants, taking into account all the scalar, fermion, and graviton loops. We\nfind that switching on the fermionic quantum fluctuations makes the non-minimal\ncoupling constant irrelevant around the Gaussian-matter fixed point with the\nasymptotically safe gravity.\n