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

arXiv:1603.00192 · doi:10.1142/9789813203952_0052

Abstract

We evaluate quantum gravity corrections to the standard model Higgs potential $V(ϕ)$ a la Coleman-Weinberg and examine the stability question of $V(ϕ)$ at scales of Planck mass $M_{\rm Pl}$. 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 $Λ= (1 - 3)M_{\rm Pl}.$ In view of reducing the UV cut-off dependence we also make a similar study in the $R^2$ gravity.

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