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 $a_\mu^{(2)\,{\rm had},\,s}=53.1(9)\left(^{+1}_{-3}\right)\times10^{-10}$.
Highlights
Experimental by relating the photon hadronic vacuum polarisation (HVP) to the cross section data for e+e− decays into hadrons using a dispersive integral over this data [7, 8]
We present results for the leading hadronic contribution to the muon anomalous magnetic moment due to strange quark-connected vacuum polarisation effects
We present results on two dynamical ensembles with near-physical quark masses and 2+1 dynamical flavours of domain wall fermions (DWF) [23, 24]
Summary
Before describing our computation of the HVP form factor, it is worth motivating this computation. The contribution a(μ2)had can be related to the Euclidean space-time HVP in the following way [9]:. Where α is the QED coupling, Q is the Euclidean four-momentum of the intermediate photon, Π (Q2) = Π(Q2) − Π(0) is the renormalised HVP form factor, and f is the following integration kernel:. The HVP form factor is related to the electromagnetic current 2-point function in momentum space. The HVP is crucial in the computation of a(μ2)had
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