  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 Vilkovisky-DeWitt
method to derive the first gauge-invariant nonzero gravitational power-law
corrections to the running of gauge couplings, 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 also compute the power-law corrections to
the SM Higgs sector and derive modified triviality bound on the Higgs boson
mass.
