Lattice calculation of the leading strange quark-connected contribution to the muon $g-2$

TL;DR

This paper calculates the strange quark-connected contribution to the muon g-2 using lattice QCD with physical quark masses, providing a precise estimate of this component's impact on the anomalous magnetic moment.

Contribution

It presents the first lattice QCD calculation of the strange quark-connected contribution to muon g-2 with controlled systematic uncertainties at physical quark masses.

Findings

Final result: $a_\mu^{(2)\,\text{had},\,s}=53.1(9)^{+1}_{-3} \times 10^{-10}$

Used multiple analysis scenarios to estimate systematic effects

Achieved continuum limit with physical quark masses

Abstract

We present results for the leading hadronic contribution to the muon anomalous magnetic moment due to strange quark-connected vacuum polarisation effects. Simulations were performed using RBC--UKQCD's $N_f=2+1$ domain wall fermion ensembles with physical light sea quark masses at two lattice spacings. We consider a large number of analysis scenarios in order to obtain solid estimates for residual systematic effects. Our final result in the continuum limit is $a_\mu^{(2)\,{\rm had},\,s}=53.1(9)\left(^{+1}_{-3}\right)\times10^{-10}$.