Incorporating fermions in the Gaussian Effective Potential: the Higgs-Top Sector

Abstract

The Higgs-Top model is studied by a non-perturbative variational extension of the Gaussian Effective Potential that incorporates fermions. In the limit of a very strong Yukawa coupling the one-loop result is shown to follow a single-parameter scaling while the gaussian fluctuations give rise to important deviations from scaling and to a reduction of the vev and of the top mass. A good general agreement is found with lattice data when a comparison can be made. The vacuum is shown to be stable for any choice of the Yukawa coupling, at variance with renormalized perturbation theory. Analytical results are provided for few observables like the renormalized mass of the Higgs boson and its wave function renormalization constant. Extensions to gauge theories like QCD are briefly discussed.

arXiv commentA brief discussion on vacuum stability and few references have been added in the new version

References in corpus (14)

• An Introduction to Chiral Symmetry on the Lattice
• A variational study of bound states in the Higgs model
• A variational method from the variance of energy
• Gaussian Effective Potential and superconductivity
• Self-consistent variational approach to the minimal left-right symmetric model of electroweak interactions
• Light Higgs bosons from a strongly interacting Higgs sector
• A Truly Minimal Left-Right Symmetric Extension of the Standard Model
• A general interpolation scheme for thermal fluctuations in superconductors
• Gaussian effective potential for the standard model SU(2)xU(1) electroweak theory
• Non-perturbative effective model for the Higgs sector of the Standard Model
• Gaussian Effective Potential and Antiferromagnetism in the Hubbard Model
• Present Status of Lattice QCD at nonzero T and μ
• Recent Progress in Lattice QCD
• Electroweak Radiative Corrections to Higgs Production via Vector Boson Fusion using SCET: Numerical Results

Cited by in corpus (11)

• Analytical study of Yang-Mills theory in the infrared from first principles
• Analytic structure of QCD propagators in Minkowski space
• The gluon propagator in Feynman gauge by the method of stationary variance
• Second order gluon polarization for SU(N) theory in linear covariant gauge
• Higher order extensions of the Gaussian effective potential
• Variational study of mass generation and deconfinement in Yang-Mills theory
• Quasigluon lifetime and confinement from first principles
• Variational Quantum Electrodynamics
• The Principle of Stationary Variance in Quantum Field Theory
• The Dark Side of the Propagators: exploring their analytic properties by a massive expansion
• Screened massive expansion of the quark propagator in the Landau gauge