The One-Loop Effective Potential in Non-Linear Gauges

Abstract

We calculate the 1-loop effective potential of an Abelian Higgs model within the R_{ξ/σ} class of non-linear gauges that preserves the Higgs-boson low-energy theorem. The R_{ξ/σ} gauge involves two gauge-fixing parameters ξand σ, and is a renormalizable extension of the Feynman--'t Hooft R_ξset of gauges beyond the 1-loop level. By taking consistently into account Goldstone--gauge-boson mixing effects, we show how the 1-loop effective potential evaluated at its extrema is independent of both ξand σ, in agreement with the Nielsen identity. The 1-loop constant and wavefunction renormalizations are presented within this non-linear R_{ξ/σ} class of gauges.

15 pages, LaTeX, 1 figure, references added

References in corpus (9)

• Inflation Dynamics and Reheating
• B-Meson Observables in the Maximally CP-Violating MSSM with Minimal Flavour Violation
• Gauge independence of the bubble nucleation rate in theories with radiative symmetry breaking
• Gauge parameter dependence and gauge invariance in the Abelian Higgs model
• Supersymmetric Higgs Singlet Effects on B-Meson FCNC Observables at Large tan(beta)
• A New Gauge for Computing Effective Potentials in Spontaneously Broken Gauge Theories
• Displacement Operator Formalism for Renormalization and Gauge Dependence to All Orders
• Derivative expansion and gauge independence of the false vacuum decay rate in various gauges
• Higgs-Boson Low-Energy Theorem and Compatible Gauge-Fixing Conditions

Cited by in corpus (16)

• Cosmological phase transitions: from perturbative particle physics to gravitational waves
• The Minimal Scale Invariant Extension of the Standard Model
• Taming the Goldstone contributions to the effective potential
• Consistent Use of Effective Potentials
• On the gauge dependence of the Standard Model vacuum instability scale
• Convexity, gauge-dependence and tunneling rates
• Gauge-Independent Scales Related to the Standard Model Vacuum Instability
• Inflationary physics and transplanckian conjecture in the Stringy Running-Vacuum-Model: from the phantom vacuum to the true vacuum
• Interplay of Infrared Divergences and Gauge-Dependence of the Effective Potential
• On the Gauge Invariance of the Decay Rate of False Vacuum
• Two-loop effective potential for generalized gauge fixing
• False Vacuum Decay in Gauge Theory
• Gauge fixing and renormalisation scale independence of tunneling rate in abelian Higgs model and in the Standard Model
• Vacuum expectation value renormalization in the Standard Model and beyond
• Gauge independence of the physical fermion mass in the effective action of theories with radiative symmetry breaking
• Renormalization Group Running in the Symmetric and the Broken Symmetry Phases of the $R_{\xi }$ and the $\overline{R_{\xi }}$ Gauges