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Multiple breaking patterns in the Brout-Englert-Higgs effect beyond perturbation theory
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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 $\textrm{SU}(3)$ 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.
Forward citations
Cited by 2 Pith papers
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The observable spectrum for GUT-like theories
Lattice simulations of an SU(3) gauge theory with a fundamental Higgs reveal new parity-degenerate and charged states that ordinary perturbation theory does not predict.
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The Equivalence Theorem at work: manifestly gauge-invariant Abelian Higgs model physics
The Abelian Higgs action is rewritten with gauge-invariant FMS operators as elementary fields, and one-loop renormalizability is demonstrated via the Equivalence Theorem.
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