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Gravity is the weakest force in nature, and the gravitational interactions with all standard model (SM) particles can be well described by perturbative expansions of the Einstein-Hilbert action as an effective theory, all the way up to energies below the fundamental Planck scale. We use the Vilkovisky-DeWitt method to derive the first gauge-invariant nonzero gravitational power-law corrections to the Callan-Symanzik beta functions which make both Abel and non-Abel gauge interactions asymptotically free. We further demonstrate that the graviton-induced universal power-law runnings always assist the three SM gauge forces to reach unification around the Planck scale, irrespective of the detail of logarithmic corrections. We further compute the power-law corrections to the SM Higgs sector and derive modified triviality bound on the Higgs boson mass.
He et al. (Fri,) studied this question.
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