Vector boson scattering from the lattice

Abstract

We study vector-boson scattering of the physical, gauge-invariant states in a reduced standardmodel 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.

The spectrum of GUT-like gauge-scalar models

“…In principle, operators with arbitrary spins and/or higher custodial charges can be implemented using the same methods, but due to statistical noise, we have currently limited our search to 𝐽 ≤ 2 and only a single charge under the U(1) symmetry. The basis was enlarged by applying smearing (stout [21] and APE [22]) to the fields up to five times, and together with the enhanced variational analysis and fitting techniques of [23] it was possible to detect ground-state signals in most channels (see fig. 1 below).…”