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

Abstract

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, $a_{\hat{I}¼,\text{W}}^{ll}$. 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.

9 pages, 4 figures, contribution to the 38th International Symposium on Lattice Field Theory (LATTICE2021)