Quantum Gravitational Contributions to the Standard Model Effective Potential and Vacuum Stability

We compute the quantum gravitational contributions to the Standard Model (SM) effective potential and analyze their effects on the Higgs vacuum stability in the framework of effective field theory. Einstein gravity necessarily implies the existence of higher dimension ϕ6 and ϕ8 operators with novel couplings η1/2 in the Higgs sector. The beta functions of these couplings are established and the impact of the gravity induced contributions on electroweak vacuum stability is studied. We find that the true minimum of the SM effective potential now lies below the Planck scale for almost the entire parameter space (η1/2(mt) > 0.01). In addition quantum gravity is shown to contribute to the minimal value of the SM next-to-leading order (NLO) effective potential at the percent level. The quantum gravity induced contributions yield a metastable vacuum for a large fraction of the parameter space in the flowing couplings η1/2.

Note:

5 pages, 4 figures, v2: published version

Quantum gravity
Standard Model
vacuum stability
effective potential
higher-dimensional operators
RG flow
standard model
effective field theory
quantum gravity: correction
quantum gravity: effect

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