Gravitational corrections to Higgs potentials

Abstract

Understanding the Higgs potential at large field values corresponding to scales in the range above $10^{10}\mathrm{GeV}$ is important for questions of vacuum stability, particularly in the early universe where survival of the Higgs vacuum can be an issue. In this paper we show that the Higgs potential can be derived in away which is independent of the choice of conformal frame for the spacetime metric. Questions about vacuum stability can therefore be answered unambiguously. We show that frame independence leads to new relations between the beta functions of the theory and we give improved limits on the allowed values of the Higgs curvature coupling for stability.

21 pages, 5 figures, jhep style, v2

References in corpus (5)

• Cosmological implications of the Higgs mass measurement
• Spacetime curvature and the Higgs stability during inflation
• On the Gauge Invariance of the Decay Rate of False Vacuum
• Non-Minimal Coupling of the Higgs Boson to Curvature in an Inflationary Universe
• Do metric fluctuations affect the Higgs dynamics during inflation?

Cited by in corpus (12)

• Cosmological Aspects of Higgs Vacuum Metastability
• Preheating after Higgs Inflation: Self-Resonance and Gauge boson production
• The 1-loop effective potential for the Standard Model in curved spacetime
• Frame Covariance in Quantum Gravity
• Frame (In)equivalence in Quantum Field Theory and Cosmology
• Frame Covariant Formalism for Fermionic Theories
• Vacuum decay constraints on the Higgs curvature coupling from inflation
• Higgs field in cosmology
• Covariant quantum corrections to a scalar field model inspired by nonminimal natural inflation
• Covariant Effective Action for Scalar-Tensor Theories of Gravity
• Fifth forces and frame invariance
• Two interacting scalars system in curved spacetime -- vacuum stability from the curved spacetime Effective Field Theory (cEFT) perspective