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Title Higher-order hadronic-vacuum-polarization contribution to the muon g - 2 from lattice QCD
Authors R. Van de Water, Bipasha Chakraborty, Christine Davies, J. Koponen, Peter Lepage
JLAB number JLAB-THY-18-2779
LANL number 1806.08190
Other number DOE/OR/23177-4511
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
Funding Source: High Energy Physics (HEP)
Other Funding:U.S. De- partment of Energy under grant PHY13-1622
Fermi Research Alliance, LLC, under Contract No. D
Gilmour bequest to the University of Glas- gow and
 

Journal
Compiled for Physical Review D
Volume 98
Issue 09
Page(s) 094503
Refereed
Publication Abstract: We calculate the ${{\rm O}}(\alpha^3)$ hadronic-vacuum-polarization contribution to the muon anomalous magnetic moment for the first time from $ab$-$initio$ lattice QCD. We employ previously-published results for the Taylor coefficients of the renormalized vacuum polarization function that were obtained on four-flavor QCD gauge-field configurations with physical light-quark masses. We obtain $10^{10} a_\mu^{\rm HVP,HO} = -9.3(1.3)$, in agreement with determinations from $e^+e^- \to {\rm hadrons}$ data plus dispersion relations. The total uncertainty is below the target precision of the Muon $g-2$ Experiment. We also provide new expressions suitable for computing the ${{\rm O}}(\alpha^3)$ hadronic vacuum polarization contributions from the renormalized vacuum polarization function ${\widehat\Pi}(q^2)$, or directly from the lattice vector-current correlator in Euclidean space.
Experiment Numbers: other
Group: THEORY CENTER
Document: pdf
DOI: https://doi.org/10.1103/PhysRevD.98.094503
Accepted Manuscript: PhysRevD.98.094503.pdf
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