Leading-order hadronic contributions to a_{\mu} and \alpha_{QED} from N_f=2+1+1 twisted mass fermions

TL;DR

This paper reports the first four-flavour lattice QCD calculation of the leading-order hadronic contributions to the muon's anomalous magnetic moment and the QED coupling, employing a mixed-action setup and an improved extrapolation method.

Contribution

It introduces a novel four-flavour lattice calculation of hadronic contributions to a_mu and alpha_QED, demonstrating the effectiveness of an improved extrapolation technique.

Findings

Successful four-flavour lattice calculation of a_mu^hvp

Effective controlled extrapolation to physical pion mass

Validation of the improved method in four-flavour case

Abstract

We present the first four-flavour lattice calculation of the leading-order hadronic vacuum-polarisation contribution to the anomalous magnetic moment of the muon, a_{\mu}^{hvp}, and the hadronic running of the QED coupling constant, \Delta \alpha_{QED}^{hvp} (Q^2). In the heavy sector a mixed-action setup is employed. The bare quark masses are determined from matching the K- and D-meson masses to their physical values. Several light quark masses are used in order to yield a controlled extrapolation to the physical pion mass by utilising a recently proposed improved method. We demonstrate that this method also works in the four-flavour case.