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Abstract

There are many hints that gravity is asymptotically safe. The inclusion of
gravitational corrections can result in the ultraviolet fundamental Standard
Model and constrain the Higgs mass to take exactly one value, which can be
calculated. Taking into account the current top quark mass measurements this
calculation gives Higgs mass $\sim131$ GeV, which is in disagreement with the
current experimental measurement. \\ This article considers the predictions of
the Higgs mass in two minimal Beyond Standard Model scenarios. One is the
sterile quark axion model, while the other is the $U(1)_{B-L}$ gauge symmetry
model introducing a new massive $Z'$ gauge boson. The inclusion of $Z'$ boson
gives the prediction much closer to the observed value, while inclusion of
sterile quark(s) gives only a slight effect.\\ Also a new, gravitational
solution to the strong CP problem is discussed.