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Vector boson scattering from the lattice

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arxiv 2204.02756 v2 pith:LCASPGH5 submitted 2022-04-06 hep-lat hep-exhep-ph

classification hep-lathep-exhep-ph
keywords scatteringanalysishiggslatticephysicalscalarappearsassess
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We study vector-boson scattering of the physical, gauge-invariant states in a reduced standard-model setup on the lattice for various parameter sets. To this end, the phase shift in the scalar channel is determined using a L\"uscher-type analysis. The results can be readily interpreted in terms of the Higgs properties and a reunitarized Fr\"ohlich-Morchio-Strocchi analysis at Born level. The only deviation appears for a Higgs mass below the elastic threshold, where we find a negative scattering length indicative of the bound-state nature of the physical scalar degree of freedom. We assess the possible implications for an experimental detection of the effect.

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Cited by 1 Pith paper

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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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