Multiple breaking patterns in the Brout-Englert-Higgs effect beyond perturbation theory
arXiv:2211.05812 · doi:10.1016/j.aop.2023.169404
Abstract
In many BSM theories, especially GUTs, introducing a Brout-Englert-Higgs effect allows for multiple breaking patterns of the gauge symmetry. The possibility to select a particular pattern is usually decisive for the phenomenological viability of a theory. Beyond perturbation theory it is necessary to replace the Brout-Englert-Higgs effect by a manifestly gauge-invariant description. We study the simplest case with multiple breaking patterns, an Yang-Mills theory coupled to a single scalar `Higgs' field in the adjoint representation, on the lattice. We find that only one pattern remains at fixed parameters and gauge-fixing strategy, and that the associated quantum effective potential emerges from a non-trivial interplay of many aspects.
arXiv comment32 pages, 22 figures (with several subfigures), 1 table
References in corpus (24)
- Gauge bosons at zero and finite temperature
- Efficient numerical diagonalization of hermitian 3x3 matrices
- The strong coupling and its running to four loops in a minimal MOM scheme
- The Higgs Mass and the Scale of New Physics
- Brout-Englert-Higgs physics: From foundations to phenomenology
- Critical Slowing-Down in Landau Gauge-Fixing Algorithms
- Higgs Mass Bounds from Renormalization Flow for a Higgs-top-bottom model
- The Phase Diagram of Three-Dimensional SU(3) + Adjoint Higgs Theory
- Phase diagram of the lattice SU(2) Higgs model
- Accessing directly the properties of fundamental scalars in the confinement and Higgs phase
- Two- and three-point functions in Landau gauge Yang-Mills-Higgs theory
- On the observable spectrum of theories with a Brout-Englert-Higgs effect
- (Non-)Aligned gauges and global gauge symmetry breaking
- Gauge-invariant description of the Higgs resonance and its phenomenological implications
- The spectrum of an SU(3) gauge theory with a fundamental Higgs field
- Analytical relations for the bound state spectrum of gauge theories with a Brout-Englert-Higgs mechanism
- On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators
- Field theory as a tool to constrain new physics models
- Excitations of elementary fermions in gauge Higgs theories
- Monte Carlo Algorithms For Reduced Lattices, Mixed Actions, And Double-Trace Deformations
- Phases and Residual Gauge Symmetries of Higgs Models
- Spontaneous symmetry breaking via inhomogeneities and the differential surface tension
- A composite massless vector boson
- Confinement versus Bose-Einstein condensation