Weak and Higgs physics from the lattice

TL;DR

This paper discusses a lattice formulation of weak and Higgs physics that is gauge-invariant and non-perturbative, exploring differences from perturbative models and analyzing the spectrum and structure to compare with experimental data.

Contribution

It introduces a lattice approach to weak and Higgs physics that maintains gauge invariance and connects to perturbative models via the FMS mechanism, investigating additional effects.

Findings

Differences between lattice and perturbative descriptions are identified.

Spectral functions and weak PDFs are analyzed to understand system structure.

Initial comparisons with experimental cross sections are performed.

Abstract

The manifestly gauge-invariant and non-perturbatively complete lattice formulation of the weak interactions and the Brout-Englert-Higgs effect is connected to the usual perturbative description in phenomenology via the Fr\"ohlich-Morchio-Strocchi mechanism. However, slight differences between the two have been observed, which can potentially be accounted for by augmenting perturbation theory. We report on our ongoing lattice investigations of these additional effects using a setup with two generations of leptons coupled vectorially to the gauge-Higgs system. We explore the spectrum, inner structure in terms of weak (quasi-)PDFs, and spectral functions of the system to eventually compare cross sections to experimental results.