The 1-loop effective potential for the Standard Model in curved spacetime

Abstract

The renormalisation group improved Standard Model effective potential in an arbitrary curved spacetime is computed to one loop order in perturbation theory. The loop corrections are computed in the ultraviolet limit, which makes them independent of the choice of the vacuum state and allows the derivation of the complete set of $\beta$-functions. The potential depends on the spacetime curvature through the direct non-minimal Higgs-curvature coupling, curvature contributions to the loop diagrams, and through the curvature dependence of the renormalisation scale. Together, these lead to significant curvature dependence, which needs to be taken into account in cosmological applications, which is demonstrated with the example of vacuum stability in de Sitter space.

arXiv comment41 pages, 9 figures

References in corpus (59)

• The Standard Model Higgs boson as the inflaton
• Generating the curvature perturbation without an inflaton
• Higgs mass and vacuum stability in the Standard Model at NNLO
• Investigating the near-criticality of the Higgs boson
• Equilibrium State of a Massless Self-Interacting Scalar Field in the De Sitter Background
• Higgs boson mass and new physics
• On the metastability of the Standard Model vacuum
• The effective potential and the renormalisation group
• Improved Higgs Mass Stability Bound in the Standard Model and Implications for Supersymmetry
• Stability of the Electroweak Vacuum: Gauge Independence and Advanced Precision
• Cosmological implications of the Higgs mass measurement
• The Probable Fate of the Standard Model
• The cosmological Higgstory of the vacuum instability
• Stability, Higgs Boson Mass and New Physics
• On Stability of the Electroweak Vacuum and the Higgs Portal
• Spacetime curvature and the Higgs stability during inflation
• IMPROVED METASTABILITY BOUNDS ON THE STANDARD MODEL HIGGS MASS
• Two-loop Renormalization Group Equations in the Standard Model
• Non-Equilibrium Evolution of Scalar Fields in FRW Cosmologies I
• Leading Log Solution for Inflationary Yukawa
• Why should we care about the top quark Yukawa coupling?
• Spacetime curvature and Higgs stability after inflation
• Electroweak Vacuum (In)Stability in an Inflationary Universe
• Consistent Use of the Standard Model Effective Potential
• Quantum corrections to slow roll inflation and new scaling of superhorizon fluctuations
• Renormalization Group Improvement of the Effective Potential in Massive O(N) Symmetric ${\varphi }^4$ Theory
• On the relation between the fermion pole mass and MSbar Yukawa coupling in the standard model
• Improving the Effective Potential
• Electroweak Vacuum Stability in light of BICEP2
• Renormalization-group improved effective potential for gauge theories in curved spacetime
• Metastable Electroweak Vacuum: Implications for Inflation
• Higgs Dynamics during Inflation
• Renormalization-Group Improved Effective Lagrangian for Interacting Theories in Curved Spacetime
• Effective potential for quantum scalar fields on a de Sitter geometry
• Probable or Improbable Universe? Correlating Electroweak Vacuum Instability with the Scale of Inflation
• State-of-the-Art Calculation of the Decay Rate of Electroweak Vacuum in Standard Model
• Improving the Effective Potential:Multi-Mass-Scale Case
• Inflationary cosmology and the standard model Higgs with a small Hubble induced mass
• On the gauge dependence of the Standard Model vacuum instability scale
• Convexity, gauge-dependence and tunneling rates
• Dark matter from gravitational particle production at reheating
• (Higgs) vacuum decay during inflation
• On stability of electroweak vacuum during inflation
• Renormalization-Group Improved Effective Potential for Finite Grand Unified Theories in Curved Spacetime
• Impact of Gravity on Vacuum Stability
• The Hubble Effective Potential
• Single-scale Renormalisation Group Improvement of Multi-scale Effective Potentials
• Quantum corrections to scalar field dynamics in a slow-roll space-time
• Two-loop effective potential in quantum field theory in curved space-time
• The impact of non-minimally coupled gravity on vacuum stability
• Stabilizing the Higgs potential with a Z${}^{\prime }$
• Effective action for the Abelian Higgs model in FLRW
• Stability of the effective potential of the gauge-less top-Higgs model in curved spacetime
• Impact of New Physics on the EW vacuum stability in a curved spacetime background
• A criterion for bubble formation in de Sitter universe
• Quantum Corrections to Inflaton and Curvaton Dynamics
• Electroweak Vacuum Instability and Renormalized Higgs Field Vacuum Fluctuations in the Inflationary Universe
• Gravitational corrections to Higgs potentials
• Do metric fluctuations affect the Higgs dynamics during inflation?

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• Early universe dynamics of PQ field with very small self-coupling and its implications for axion dark matter
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