Gauge Independent Effective Potential and the Higgs Mass Bound

Abstract

We introduce the Vilkovisky-DeWitt formalism for deriving the lower bound of the Higgs boson mass. We illustrate the formalism with a simplified version of the Standard Electroweak Model, where all charged boson fields as well as the bottom-quark field are disregarded. The effective potential obtained in this approach is gauge independent. We derive from the effective potential the mass bound of the Higgs boson. The result is compared to its counterpart obtained from the ordinary effective potential.

arXiv comment15 pages, Revtex; version to appear in Phys. Rev. D

References in corpus (8)

• The effective potential and the renormalisation group
• Improved Higgs Mass Stability Bound in the Standard Model and Implications for Supersymmetry
• Standard Model stability bounds for new physics within LHC reach
• Renormalization Group Improvement of the Effective Potential in Massive O(N) Symmetric ${\varphi }^4$ Theory
• Improving the Effective Potential
• The gauge invariant effective potential: equilibrium and non-equilibrium aspects
• Gauge Dependence of Lower Bounds on the Higgs Mass Derived from Electroweak Vacuum Stability Constraints
• Gauge Invariant Higgs mass bounds from the Physical Effective Potential

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• Consistent Use of Effective Potentials
• Removing the gauge parameter dependence of the effective potential by a field redefinition
• Comments on the gauge dependence of the effective potential and the utility of the Vilkovisky-DeWitt formalism