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 the smallest value such that electroweak vacuum is stable. Taking into account the current top quark mass measurements this value is $m_H \approx 130$ GeV.\\ This article considers the predictions of the Higgs mass in two minimal Beyond Standard Model scenarios, where the stability is improved. 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 correct prediction for this mass, while inclusion of sterile quark(s) gives only a slight effect.\\ Also a new, gravitational solution to the strong CP problem is discussed.
Highlights
The couplings of the physical models change with scale, and there are two sources of this scaling
The λðμÞ becomes negative at 1010 GeV, and in this article, we explore another possibility, namely that addition of beyond standard model fields results in the correct predictions for the Higgs mass
Due to metastability of vacuum, we see that it is necessary to introduce the beyond standard model operators in order for Higgs mass to be predicted in the asymptotic safety paradigm at the correct experimental value
Summary
The couplings of the physical models change with scale, and there are two sources of this scaling. Since the top Yukawa coupling is close to the upper bound in the basin of attraction, if it runs to the interacting fixed point, it is predictable [23] In such scenario, the difference between the top and the bottom quark masses [24] can be predicted. The fine structure constant in grand unified theories can be predicted [25] These results are promising; the results for the Higgs mass calculated for the top interacting fixed point scenario [23] give mH ≈ 132 GeV. We analyze two scenarios: addition of the Z0 boson, which is related to the B anomalies, and addition of sterile quarks
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