Vector boson scattering from the lattice

TL;DR

This paper investigates vector boson scattering in a lattice-based reduced standard model, analyzing phase shifts and Higgs properties, and identifies a bound-state behavior below the elastic threshold with potential experimental implications.

Contribution

It provides a lattice study of vector boson scattering with a novel analysis of phase shifts and Higgs properties, including the bound-state indication below the elastic threshold.

Findings

Negative scattering length below elastic threshold suggests bound-state nature.

Results align with Higgs properties and Fr"ohlich-Morchio-Strocchi analysis.

Potential implications for experimental detection of scalar bound states.

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 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.