# Light quark vacuum polarization at the physical point and contribution to the muon $g-2$

## TL;DR

This paper calculates the light quark vacuum polarization contribution to the muon g-2 using lattice QCD at the physical point, providing a precise estimate and comparing with recent literature.

## Contribution

First lattice QCD calculation of light quark vacuum polarization at the physical point with continuum limit and finite volume corrections.

## Key findings

- Computed $a_\mu^{ll}({\rm HVP})$ as $(659\pm 20\pm 5\pm 5\pm 4)\times 10^{-10}$.
- Finite volume correction evaluated in chiral perturbation theory to NNLO.
- Results are consistent with recent lattice QCD studies.

## Abstract

We report on the computation of the connected light quark vacuum polarization with 2+1+1 flavors of HISQ fermions at the physical point and its contribution to the muon anomalous magnetic moment. Three ensembles, generated by the MILC collaboration, are used to take the continuum limit. The finite volume correction to this result is computed in the (Euclidean) time-momentum representation to NNLO in chiral perturbation theory. We find $a_\mu^{ll}({\rm HVP})=(659\pm 20\pm 5\pm 5\pm 4)\times 10^{-10}$, where the errors are statistical and estimates of residual uncertainties from taking the continuum limit, scale setting, and truncation of chiral perturbation theory at NNLO. We compare our results with recent ones in the literature.