In a lattice simulation of the custodial two-Higgs-doublet model, an extra BSM scalar can be as light as about 0.2 times the W boson mass while Standard Model physics is held fixed.
Observables in Higgsed Theories
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abstract
In gauge theories, observable quantities have to be gauge-invariant. In general, this requires composite operators, which usually have substantially different properties, e.g. masses, than the elementary particles. Theories with a Higgs field, in which the Brout-Englert-Higgs effect is active, provide an interesting exception to this rule. Due to an intricate mechanism, the Fr\"ohlich-Morchio-Strocchi mechanism, the masses of the composite operators with the same $J^P$ quantum numbers, but modified internal quantum numbers, have the same masses. This mechanism is supported using lattice gauge theory for the standard-model Higgs sector, i.e. Yang-Mills-Higgs theory with gauge group SU(2) and custodial symmetry group SU(2). Furthermore, the extension to the 2-Higgs-doublet-model is briefly discussed, and some preliminary results are presented.
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Progress in lattice simulations for two Higgs doublet models
In a lattice simulation of the custodial two-Higgs-doublet model, an extra BSM scalar can be as light as about 0.2 times the W boson mass while Standard Model physics is held fixed.