Vector boson scattering from the lattice

Abstract

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 Lüscher-type analysis. The results can be readily interpreted in terms of the Higgs properties and a reunitarized Fröhlich-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.

arXiv comment21 pages, 8 figures, 9 tables; v2: minor corrections to text, small modification to Figs. 3 - 5, version to appear in PRD

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• Restoring the Bloch-Nordsieck theorem in the electroweak sector of the standard model
• Exploratory applications of the Fröhlich-Morchio-Strocchi mechanism in quantum gravity