Hadronic contributions to electroweak observables in the framework of DPT

TL;DR

This paper evaluates hadronic contributions to key electroweak observables using dispersively improved perturbation theory, combining perturbative and nonperturbative methods, and finds results consistent with recent assessments.

Contribution

It introduces a dispersively improved perturbation theory framework to evaluate hadronic effects on electroweak observables, integrating nonperturbative constraints.

Findings

Results align with recent assessments of muon magnetic moment contributions.

The method effectively combines perturbative and nonperturbative inputs.

Provides a consistent evaluation of the electromagnetic fine structure constant shift.

Abstract

The hadronic contributions to the muon anomalous magnetic moment and to the shift of the electromagnetic fine structure constant at the scale of Z boson mass are evaluated within dispersively improved perturbation theory (DPT). The latter merges the corresponding perturbative input with intrinsically nonperturbative constraints, which originate in the respective kinematic restrictions. The obtained results conform with recent assessments of the quantities on hand.