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arxiv 2112.11647 v1 pith:JSVVB5B5 submitted 2021-12-22 hep-lat

Hadronic vacuum polarization of the muon on 2+1+1-flavor HISQ ensembles: an update

classification hep-lat
keywords calculationcontributionensemblesfourhadronichisqmuonperformed
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We give an update on the status of the Fermilab Lattice-HPQCD-MILC calculation of the contribution to the muon's anomolous magnetic moment from the light-quark, connected hadronic vacuum polarization. We present preliminary, blinded results in the intermediate window for this contribution, $a_{\mu, \textrm{W}}^{ll}$. The calculation is performed on $N_f =2+1+1$ highly-improved staggered quark (HISQ) ensembles from the MILC collaboration with physical pion mass at four lattice spacings between 0.15 fm and 0.06 fm. We also present preliminary results for a study of the two-pion contributions to the vector-current correlation function performed on the 0.15 fm ensemble where we see a factor of four improvement over traditional noise reduction techniques.

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