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Gravity is the weakest force in nature, and the gravitational interactionswith all standard model (SM) particles can be well described by perturbativeexpansions of the Einstein-Hilbert action as an effective theory, all the wayup to energies below the fundamental Planck scale. We use Vilkovisky-DeWittmethod to derive the first gauge-invariant nonzero gravitational power-lawcorrections to the running of gauge couplings, which make both Abel andnon-Abel gauge interactions asymptotically free. We further demonstrate thatthe graviton-induced universal power-law runnings always assist the three SMgauge forces to reach unification around the Planck scale, irrespective of thedetail of logarithmic corrections. We also compute the power-law corrections tothe SM Higgs sector and derive modified triviality bound on the Higgs bosonmass.

Gauge-Invariant Quantum Gravity Corrections to Gauge Couplings via Vilkovisky-DeWitt Method and Gravity Assisted Gauge Unification