Theory Driven Evolution of the Weak Mixing Angle

TL;DR

This paper provides a theoretical calculation of the weak mixing angle at low energies using lattice QCD and perturbation theory, exploring its implications for the Standard Model and related observables.

Contribution

It introduces the first purely theoretical computation of the weak mixing angle in the MS scheme at low energies, integrating lattice QCD with perturbative methods.

Findings

Calculated the weak mixing angle in the MS scheme at low energies.

Analyzed its correlation with the muon anomalous magnetic moment.

Discussed implications for the W boson mass prediction.

Abstract

We present the first purely theoretical calculation of the weak mixing angle in the MS scheme at low energies by combining results from lattice QCD with perturbation theory. We discuss its correlation with the hadronic contribution to the anomalous magnetic moment of the muon and to the energy dependence of the electromagnetic coupling. We also compare the results with calculations using cross-section data as input. Implications for the Standard Model prediction of the mass of the W boson are also discussed.