Radiative effects on false vacuum decay in Higgs-Yukawa theory

Abstract

We derive fermionic Green's functions in the background of the Euclidean solitons describing false vacuum decay in a prototypal Higgs-Yukawa theory. In combination with appropriate counterterms for the masses, couplings and wave-function normalization, these can be used to calculate radiative corrections to the soliton solutions and transition rates that fully account for the inhomogeneous background provided by the nucleated bubble. We apply this approach to the archetypal example of transitions between the quasi-degenerate vacua of a massive scalar field with a quartic self-interaction. The effect of fermion loops is compared with those from additional scalar fields, and the loop effects accounting for the spacetime inhomogeneity of the tunneling configuration are compared with those where gradients are neglected. We find that scalar loops lead to an enhancement of the decay rate, whereas fermion loops lead to a suppression. These effects get relatively amplified by a perturbatively small factor when gradients are accounted for. In addition, we observe that the radiative corrections to the solitonic field profiles are smoother when the gradients are included. The method presented here for computing fermionic radiative corrections should be applicable beyond the archetypal example of vacuum decay. In particular, we work out methods that are suitable for calculations in the thin-wall limit, as well as others that take account of the full spherical symmetry of the solution. For the latter case, we construct the Green's functions based on spin hyperspherical harmonics, which are eigenfunctions of the appropriate angular momentum operators that commute with the Dirac operator in the solitonic background.

arXiv comment23 pages, 12 figures, revtex format; references added, minor changes; to match the published version

References in corpus (40)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Higgs mass and vacuum stability in the Standard Model at NNLO
• Investigating the near-criticality of the Higgs boson
• Electroweak baryogenesis
• Higgs mass implications on the stability of the electroweak vacuum
• Higgs boson mass and new physics
• Standard Model Higgs boson mass from inflation: two loop analysis
• On the metastability of the Standard Model vacuum
• General Properties of the Gravitational Wave Spectrum from Phase Transitions
• Improved Higgs Mass Stability Bound in the Standard Model and Implications for Supersymmetry
• The Probable Fate of the Standard Model
• Stability, Higgs Boson Mass and New Physics
• Standard Model stability bounds for new physics within LHC reach
• Precise Vacuum Stability Bound in the Standard Model
• The lifetime of the electroweak vacuum and sensitivity to Planck scale physics
• Gravitational corrections to Standard Model vacuum decay
• Higgs boson and Top quark masses as tests of Electroweak Vacuum Stability
• Scale Invariant Instantons and the Complete Lifetime of the Standard Model
• A Finely-Predicted Higgs Boson Mass from A Finely-Tuned Weak Scale
• Top mass determination, Higgs inflation, and vacuum stability
• Beyond the thin-wall approximation : precise numerical computation of prefactors in false vacuum decay
• State-of-the-Art Calculation of the Decay Rate of Electroweak Vacuum in Standard Model
• Quantum Fluctuations around the Electroweak Sphaleron
• The Higgs Mass and the Scale of New Physics
• One-loop corrections to the metastable vacuum decay
• Quantum fluctuations of the electroweak sphaleron: Erratum and Addendum
• Higher-order scalar interactions and SM vacuum stability
• Stability of the electroweak ground state in the Standard Model and its extensions
• (No) Eternal Inflation and Precision Higgs Physics
• Self-consistent solitons for vacuum decay in radiatively generated potentials
• Green's function method for handling radiative effects on false vacuum decay
• Effective operators and vacuum instability as heralds of new physics
• Constraining the effective action by a method of external sources
• The Thin-Wall Approximation in Vacuum Decay: a Lemma
• Protecting the Stability of the EW Vacuum from Planck-Scale Gravitational Effects
• One-loop corrections to the instanton transition in the Abelian Higgs model: Gel'fand-Yaglom and Green's function methods
• Quantum Corrections to the Electroweak Sphaleron Transition
• Fluctuations about the Fubini-Lipatov instanton for false vacuum decay in classically scale invariant models
• Self-consistent radiative corrections to false vacuum decay

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• Quantum and Gradient Corrections to False Vacuum Decay on a de Sitter Background
• Fate of homogeneous ${\mathbb{Z}}_2$-symmetric scalar condensates
• Flow-based Nonperturbative Simulation of First-order Phase Transitions
• Quantum corrections to tunnelling amplitudes of neutral scalar fields
• NNLO corrections to false vacuum decay rate in thin-wall approximation
• Quantum corrections to symmetron fifth-force profiles