Abstract
All lattice-QCD calculations of the hadronic-vacuum-polarization contribution to the muon's anomalous magnetic moment to date have been performed with degenerate up- and down-quark masses. Here we calculate directly the strong-isospin-breaking correction to a_{μ}^{HVP} for the first time with physical values of m_{u} and m_{d} and dynamical u, d, s, and c quarks, thereby removing this important source of systematic uncertainty. We obtain a relative shift to be applied to lattice-QCD results obtained with degenerate light-quark masses of δa_{μ}^{HVP,m_{u}≠m_{d}}=+1.5(7)%, in agreement with estimates from phenomenology.
Highlights
All lattice-quantum chromodynamics (QCD) calculations of the hadronic-vacuum-polarization contribution to the muon’s anomalous magnetic moment to date have been performed with degenerate up- and down-quark masses
We obtain a relative shift to be applied to lattice-QCD results obtained with degenerate light-quark masses of δaHμ VP;mu≠md 1⁄4 þ1.5ð7Þ%, in agreement with estimates from phenomenology
The Muon g − 2 Experiment at Fermilab aims to reduce the experimental error by a factor of 4, with a first result competitive with E821 expected within a year [3]
Summary
All lattice-QCD calculations of the hadronic-vacuum-polarization contribution to the muon’s anomalous magnetic moment to date have been performed with degenerate up- and down-quark masses. We calculate directly the strong-isospin-breaking correction to aHμ VP for the first time with physical values of mu and md and dynamical u, d, s, and c quarks, thereby removing this important source of systematic uncertainty.
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