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.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
