Progress on computing the hadronic vacuum polarization contribution to the muon anomalous magnetic moment with staggered fermions

TL;DR

This paper reports progress in calculating the hadronic vacuum polarization contribution to the muon g-2 using improved staggered fermion simulations, including new results on physical pion mass ensembles and computational enhancements.

Contribution

It presents updated calculations with highly-improved staggered quarks and discusses algorithm improvements for more efficient vector-vector correlation function computations.

Findings

Preliminary results on a $2+1+1$ HISQ ensemble with physical pion mass.

Implementation of code and algorithm improvements.

Enhanced efficiency in calculating the vector-vector correlation function.

Abstract

We give an update of our calculation of the light-quark, connected, hadronic vacuum polarization contribution to the muon anomalous magnetic moment, or muon $g-2$. The update includes preliminary results on a $2 + 1 + 1$ highly-improved staggered quark (HISQ) ensemble from the MILC collaboration with physical pion mass, $0.042$ fm lattice spacing, and volume $144^3 \times 288$. We discuss code and algorithm improvements for these calculations to compute the vector-vector correlation function more efficiently.