Lattice calculations and the muon anomalous magnetic moment

Abstract

Anomalous magnetic moment of the muon, $a_{\mu }=(g_{\mu }-2)/2$, is one of the most precisely measured quantities in particle physics and it provides a stringent test of the Standard Model. The planned improvements of the experimental precision at Fermilab and at J-PARC propel further reduction of the theoretical uncertainty of $a_{\mu }$. The hope is that the efforts on both sides will help resolve the current discrepancy between the experimental measurement of $a_{\mu }$ and its theoretical prediction, and potentially gain insight into new physics. The dominant sources of the uncertainty in the theoretical prediction of $a_{\mu }$ are the errors of the hadronic contributions. I will discuss recent progress on determination of hadronic contributions to $a_{\mu }$ from lattice calculations.

8 pages, 1 table, 2 figures, invited talk presented at Light Cone 2016, September 5-8, 2016. Accepted for publication in Few-Body Systems (Light-Cone 2016, Topical Collection)

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