Abstract
Nearly twenty years ago in an experiment at Brookhaven National
Laboratory, physicists measured the muon's anomalous magnetic moment,
a_mu, with a remarkable precision of 0.54 parts per million. Since then,
the Standard Model prediction for a_mu has exhibited a discrepancy with
experiment of over 3 standard deviations, raising the tantalizing
possibility of elementary particles or fundamental forces as yet
undiscovered. On April 7, 2021, a new experiment at Fermilab presented
its first results, brilliantly confirming Brookhaven's measurement and
bringing the discrepancy with the Standard Model to a near discovery
level of 4.2 sigma. To fully leverage this and future measurements, and
possibly claim the presence of new fundamental physics, it is imperative
to check the Standard Model prediction with independent methods, and to
reduce its uncertainties. After an introduction and a discussion of the
current experimental and theoretical status of a_mu, I will present a
precise lattice QCD calculation of the contribution to this quantity
that most limits the precision of the Standard Model prediction. The
result of this calculation significantly reduces the gap between the
standard model and experiment, and suggests that new physics may not be
needed to explain the current, experimental, world-average value of
a_mu.