Quantum gravity corrections to the standard model Higgs in Einstein and $R^2$ gravity

Abstract

We evaluate quantum gravity corrections to the standard model Higgs potential $V(\varphi )$ a la Coleman-Weinberg and examine the stability question of $V(\varphi )$ at scales of Planck mass $M_{\mathrm{Pl}}$. We compute the gravity one-loop corrections by using the momentum cut-off in Einstein gravity. The gravity corrections affect the potential in a significant manner for the value of $\Lambda =(1-3)M_{\mathrm{Pl}}.$ In view of reducing the UV cut-off dependence we also make a similar study in the $R^2$ gravity.

Comments: 6pages, 4figures, Proceedings for the 2nd LeCosPA Symposium: Everything about gravity, Talk delivered by M. Horikoshi on December 17, 2015, Taipei, Taiwan