Developments in the position-space approach to the HLbL contribution to the muon $g-2$ on the lattice

TL;DR

This paper discusses advances in the position-space lattice QCD method to calculate the hadronic light-by-light contribution to the muon g-2, integrating continuum QED for high-precision Standard Model tests.

Contribution

It introduces ongoing work combining lattice QCD and continuum QED to improve the calculation of the hadronic light-by-light contribution to muon g-2, focusing on the Mainz position-space approach.

Findings

Computed the quark-connected contribution using the Mainz position-space method.

Analyzed the long-distance behavior with $$-pole and pion loop models.

Progress towards reducing uncertainties in the SM prediction of muon g-2.

Abstract

The measurement of the anomalous magnetic moment of the muon and its prediction allow for a high-precision test of the Standard Model (SM). In this proceedings article we present ongoing work combining lattice QCD and continuum QED in order to determine an important SM contribution to the magnetic moment, the hadronic light-by-light contribution. We compute the quark-connected contribution in the Mainz position-space approach and investigate the long-distance part of our data using calculations of the $\pi^0$-pole and charged pion loop contributions.