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

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 $a_{\hat{I}}{¼}^{(2)\mathrm{had},s}=53.1(9)\left({}_{-3}^{+1}\right)\times 10^{-10}$.

21 pages, 5 figures