Weak and Higgs physics from the lattice

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 Fröhlich-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.

Figures (8)

• Figure 1: The Standard Model reproduced from FMS. The fundamental particles (denoted by lowercase letters) are replaced by physical, gauge-invariant states. The shaded particles then appear as singlets, doublets, or triplets of the residual global custodial symmetry Maas:2017wzi.
• Figure 2: Stable Higgs mass hierarchy
• Figure 3: Unstable Higgs mass hierarchy
• Figure 5: Spectral densities extracted from the scalar operator $O_{\mathrm{Higgs}}$
• Figure 6: $\kappa_F$-dependence of the mass hierarchies in the QCD-like parameter region