Calculating the running coupling in strong electroweak models

TL;DR

This paper explores a lattice-based method to measure the running of the gauge coupling in strongly-interacting theories, aiding the distinction between QCD-like and conformal models relevant for Beyond Standard Model physics.

Contribution

It introduces a new approach using Wilson loop ratios to determine the renormalized coupling in non-abelian gauge theories, with initial tests on SU(3) pure gauge and dynamical fermion simulations.

Findings

Validated the method on SU(3) pure gauge theory

Presented initial results for theories with dynamical fermions

Demonstrated potential for distinguishing QCD-like and conformal behaviors

Abstract

One possibility for Beyond Standard Model physics is a new strongly-interacting gauge theory. One way to determine if a non-abelian gauge theory is QCD-like or conformal is to measure the running of the renormalized gauge coupling. We define the renormalized coupling from Wilson loop ratios, and measure these ratios via lattice simulations. We test this method in SU(3) pure gauge theory and show some first results for simulations with dynamical fermions in the fundamental representation.