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Multiple breaking patterns in the Brout-Englert-Higgs effect beyond perturbation theory

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arxiv 2211.05812 v1 pith:NNVHYZD2 submitted 2022-11-10 hep-lat hep-phhep-th

classification hep-lathep-phhep-th
keywords theorybreakingbrout-englert-higgseffectmultiplepatternsbeyondmany
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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  1. The observable spectrum for GUT-like theories

    hep-lat 2025-01 conditional novelty 6.0 of 10

    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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