Gauge-invariant Higgs boson mass bounds from the physical effective potential

@article{Boyanovsky1998GaugeinvariantHB,
title={Gauge-invariant Higgs boson mass bounds from the physical effective potential},
author={Daniel Boyanovsky and W. A. Loinaz and R. S. Willey},
journal={Physical Review D},
year={1998},
volume={57},
pages={100-111}
}
• Published 16 May 1997
• Physics
• Physical Review D
We study a simplified version of the standard electroweak model and introduce the concept of the physical gauge-invariant effective potential in terms of matrix elements of the Hamiltonian in physical states. This procedure allows an unambiguous identification of the symmetry breaking order parameter and the resulting effective potential as the energy in a constrained state. We explicitly compute the physical effective potential at one loop order and improve it using the renormalization group… Expand
10 Citations

Figures from this paper

Gauge-Independent Scales Related to the Standard Model Vacuum Instability
• Physics
• 2017
The measured (central) values of the Higgs and top quark masses indicate that the standard model (SM) effective potential develops an instability at high field values. The scale of this instability,Expand
Interplay of infrared divergences and gauge dependence of the effective potential
• Physics
• 2016
The perturbative effective potential suffers infrared (IR) divergences in gauges with massless Goldstones in their minima (like the Landau or Fermi gauges), but the problem can be fixed by a suitableExpand
Effective operators and vacuum instability as heralds of new physics
• Physics
• 2002
For a light enough Higgs boson, the effective potential of the Standard Model develops a dangerous instability at some high energy scale, ?, signalling the need for new physics below that scale. OnExpand
Complex scalar singlet dark matter: Vacuum stability and phenomenology
• Physics
• 2012
We analyze one-loop vacuum stability, perturbativity, and phenomenological constraints on a complex singlet extension of the standard model scalar sector containing a scalar dark matter candidate. WeExpand
Standard Model with gauge inert variables
The Standard Model of electroweak interactions has been recast as a gauge free theory where the fields present in the Lagrangian are made inert under $SU(2)_L \times U(1)_Y$ gauge transformations.Expand
Beyond the Standard Model: Scalar dark matter, and, lepton flavor violation
The Standard Model of particle physics is a highly successful theory of fundamental particle interactions, especially in light of the recent discovery of a Higgs-like boson at the LHC. Nonetheless,Expand
Precision Tunneling Rate Calculations in Quantum Field Theory and the Ultimate Fate of Our Universe
One of the most concrete implications of the discovery of the Higgs boson is that, in the absence of physics beyond the Standard Model, the long-term fate of our universe can now be establishedExpand
Higgs potential near-criticality from a de Sitter swampland-like condition
Motivated by the recently proposed de Sitter swampland conjecture, a formally same condition imposed instead on the convex and real exact effective potential is contemplated. Compared to the originalExpand
Quarks and Leptons Beyond the Third Generation
• Physics
• 2000
Abstract The possibility of additional quarks and leptons beyond the three generations already established is discussed. The make-up of this Report is (1)  Introduction : the motivations forExpand
Gauge independence of the physical fermion mass in the effective action of theories with radiative symmetry breaking
I consider an Abelian gauge theory, with a complex scalar field and massless, chiral fermions, in the limit where the couplings and the interactions induce radiative symmetry breaking, and I deriveExpand

References

SHOWING 1-10 OF 28 REFERENCES
Gauge dependence of lower bounds on the Higgs boson mass derived from electroweak vacuum stability constraints
• Physics
• 1997
We examine the gauge dependence of lower bounds on the Higgs boson mass obtained from the requirement that the electroweak vacuum be the global minimum of the effective potential. We study a simpleExpand
Constraints on the Higgs boson properties from the effective potential
We review the constraints on Higgs boson properties from effective potential methods. In the Standard Model, the requirement of stability (or metastability) of the standard electroweak minimum putsExpand
Electroweak Baryogenesis and Higgs Physics
• Physics
• 1997
Electroweak Baryogenesis is a particularly attractive theoretical scenario, since it relies on physics which can be tested at present high energy collider facilities. Within the Standard Model, itExpand
Diverse topics in theoretical and mathematical physics
Part 1 Anomalies and fractional charge: non-canonical behaviour in canonical theories quantum mechanical symmetry breaking delta function potentials in two- and three-dimensional quantum mechanicsExpand
Quantization of Gauge Systems
• Mathematics
• 1992
This is a systematic study of the classical and quantum theories of gauge systems. It starts with Dirac's analysis showing that gauge theories are constrained Hamiltonian systems. The classicalExpand
Gauge fields, introduction to quantum theory
• Physics
• 1980
* Introduction: Fundamentals of Classical Gauge Field Theory * Quantum Theory in Terms of Path Integrals * Quantization of the Yang-Mills Field * Renormalization of Gauge Theories * Some ApplicationExpand
Table of Integrals, Series, and Products
• Mathematics, Engineering
• 1943
Introduction. Elementary Functions. Indefinite Integrals of Elementary Functions. Definite Integrals of Elementary Functions. Indefinite Integrals of Special Functions. Definite Integrals of SpecialExpand
Phys. Rev
• Phys. Rev
• 1996
Phys. Rev. D48
• Phys. Rev. D48
• 1993