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arXiv · 2211.05812

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

Elizabeth Dobson·Axel Maas·Bernd Riederer
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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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Elizabeth Dobson, Axel Maas, Bernd Riederer. 2022-11-10. Multiple breaking patterns in the Brout-Englert-Higgs effect beyond perturbation theory. https://doi.org/10.1016/j.aop.2023.169404

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