On the gauge dependence of the Standard Model vacuum instability scale

Abstract

After reviewing the calculation of the Standard Model one-loop effective potential in a class of linear gauges, we discuss the physical observables entering the vacuum stability analysis. While the electroweak-vacuum-stability bound on the Higgs boson mass can be formally proven to be gauge independent, the field value at which the effective potential turns negative (the so-called instability scale) is a gauge dependent quantity. By varying the gauge-fixing scheme and the gauge-fixing parameters in their perturbative domain, we find an irreducible theoretical uncertainty of at least two orders of magnitude on the scale at which the Standard Model vacuum becomes unstable.

arXiv comment24 pages, 4 figures. One reference added. To appear in JHEP

References in corpus (30)

• Higgs mass and vacuum stability in the Standard Model at NNLO
• Investigating the near-criticality of the Higgs boson
• Higgs mass implications on the stability of the electroweak vacuum
• Higgs boson mass and new physics
• On the metastability of the Standard Model vacuum
• The top quark and Higgs boson masses and the stability of the electroweak vacuum
• The effective potential and the renormalisation group
• Improved Higgs Mass Stability Bound in the Standard Model and Implications for Supersymmetry
• Baryon Washout, Electroweak Phase Transition, and Perturbation Theory
• The Standard Model Effective Potential at Two Loops
• Cosmological implications of the Higgs mass measurement
• Dynamics of Non-renormalizable Electroweak Symmetry Breaking
• The Probable Fate of the Standard Model
• Stability, Higgs Boson Mass and New Physics
• Standard Model stability bounds for new physics within LHC reach
• Three-loop β-functions for top-Yukawa and the Higgs self-interaction in the Standard Model
• IMPROVED METASTABILITY BOUNDS ON THE STANDARD MODEL HIGGS MASS
• Precise Vacuum Stability Bound in the Standard Model
• Planck Scale Boundary Conditions and the Higgs Mass
• Electroweak Vacuum (In)Stability in an Inflationary Universe
• Higgs self-coupling beta-function in the Standard Model at three loops
• β-function for the Higgs self-interaction in the Standard Model at three-loop level
• Electroweak Vacuum Stability in light of BICEP2
• Standard Model Vacuum Stability and Weyl Consistency Conditions
• Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops
• Gauge Independence of the Effective Potential Revisited
• The One-Loop Effective Potential in Non-Linear Gauges
• Implications of a Higgs Discovery at LEP
• The Standard Model instability and the scale of new physics
• Higgs-Boson Low-Energy Theorem and Compatible Gauge-Fixing Conditions

Cited by in corpus (56)

• Stability of the Electroweak Vacuum: Gauge Independence and Advanced Precision
• The cosmological Higgstory of the vacuum instability
• Cosmological phase transitions: from perturbative particle physics to gravitational waves
• Higgs inflation from Standard Model criticality
• Why should we care about the top quark Yukawa coupling?
• Spacetime curvature and Higgs stability after inflation
• Consistent Use of the Standard Model Effective Potential
• Taming the Goldstone contributions to the effective potential
• Consistent Use of Effective Potentials
• Cosmological Aspects of Higgs Vacuum Metastability
• Is a Higgs Vacuum Instability Fatal for High-Scale Inflation?
• Postinflationary vacuum instability and Higgs-inflaton couplings
• The Higgs Portal to Cosmology
• Precise Values of Running Quark and Lepton Masses in the Standard Model
• Naturalness and Dimensional Transmutation in Classically Scale-Invariant Gravity
• The 1-loop effective potential for the Standard Model in curved spacetime
• Convexity, gauge-dependence and tunneling rates
• Decay Rate of Electroweak Vacuum in the Standard Model and Beyond
• Gauge-Independent Scales Related to the Standard Model Vacuum Instability
• Higgs vacuum metastability in primordial inflation, preheating, and reheating
• Stability of the electroweak ground state in the Standard Model and its extensions
• SpecBit, DecayBit and PrecisionBit: GAMBIT modules for computing mass spectra, particle decay rates and precision observables
• Strong first-order phase transitions in the NMSSM --- a comprehensive survey
• Electroweak Vacuum Collapse induced by Vacuum Fluctuations of the Higgs Field around Evaporating Black Holes
• Effective potential at three loops
• Interplay of Infrared Divergences and Gauge-Dependence of the Effective Potential
• Massive neutrinos and invisible axion minimally connected
• Strong first order electroweak phase transition in 2HDM confronting future Z & Higgs factories
• False vacuum decay: an introductory review
• Leptogenesis via Higgs Condensate Relaxation
• Stationary configurations of the Standard Model Higgs potential: electroweak stability and rising inflection point
• Ruling out Critical Higgs Inflation?
• Removing the gauge parameter dependence of the effective potential by a field redefinition
• Two-loop effective potential for generalized gauge fixing
• Assessing Perturbativity and Vacuum Stability in High-Scale Leptogenesis
• Impact of New Physics on the EW vacuum stability in a curved spacetime background
• Protecting the Stability of the EW Vacuum from Planck-Scale Gravitational Effects
• Neutrino masses, vacuum stability and quantum gravity prediction for the mass of the top quark
• Electroweak vacuum stability and inflation via non-minimal derivative couplings to gravity
• Gauge fixing and renormalisation scale independence of tunneling rate in abelian Higgs model and in the Standard Model
• Renormalization of the Abelian-Higgs Model in the R-xi and Unitary gauges and the physicality of its scalar potential
• Electroweak Phase Transition in a Right-Handed Neutrino Superfield Extended NMSSM
• Electroweak Vacuum Instability and Renormalized Vacuum Field Fluctuations in Friedmann-Lemaitre-Robertson-Walker Background
• Direct Higgs-gravity interaction and stability of our Universe
• Prospecting bipartite Dark Matter through Gravitational Waves
• Neutrino-axion-dilaton interconnection
• When tadpoles matter: One-loop corrections for spectator Higgs in inflation
• Neutrino Mass, Dark Matter and Baryon Asymmetry without Lepton Number Violation
• Higgs chameleon
• Higgs instability and de Sitter radiation
• Gauge invariance of the vector meson mass in the Coleman-Weinberg model
• Fate of false vacuum in singlet-doublet fermion extension model with RG improved effective action
• Cosmological implications of Higgs field fluctuations during inflation
• Nielsen Identity and the Renormalization Group Functions in an Abelian Supersymmetric Chern-Simons Model in the Superfield Formalism
• Higgs potential near-criticality from a de Sitter swampland-like condition
• Gradient-flowed order parameter for spontaneous gauge symmetry breaking