  We present a new lattice QCD calculation of the leading order hadronic vacuum
polarization contribution to the muon anomalous magnetic moment $a_\mu$. We
reduce uncertainties compared to our earlier computation by $40\%$,
arXiv:2002.12347. We perform simulations on finer lattices allowing for an even
more accurate continuum extrapolation. We also include a small, long-distance
contribution obtained using input from experiments in a low-energy regime where
they all agree. Combined with other standard model contributions our result
leads to a prediction that differs from the measurement of $a_\mu$ by only 0.9
standard deviations. This provides a remarkable validation of the standard
model to 0.37ppm.
