  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.
