The hadronic vacuum polarization contribution to $a_{\mu }$ from full lattice QCD

Abstract

We determine the contribution to the anomalous magnetic moment of the muon from the ${\alpha }_{\mathrm{QED}}^2$ hadronic vacuum polarization diagram using full lattice QCD and including $u/d$ quarks with physical masses for the first time. We use gluon field configurations that include $u$, $d$, $s$ and $c$ quarks in the sea at multiple values of the lattice spacing, multiple $u/d$ masses and multiple volumes that allow us to include an analysis of finite-volume effects. We obtain a result for $a_{\mu }^{\mathrm{HVP},\mathrm{LO}}$ of $667(6)(12)$, where the first error is from the lattice calculation and the second includes systematic errors from missing QED and isospin-breaking effects and from quark-line disconnected diagrams. Our result implies a discrepancy between the experimental determination of $a_{\mu }$ and the Standard Model of 3$\sigma$.

14 pages, 10 figures. Discussion of method extended with additional tests and figures added. Typographical errors corrected

References in corpus (18)

• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
• High-precision scale setting in lattice QCD
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• Scaling studies of QCD with the dynamical HISQ action
• High-precision quark masses and QCD coupling from $n_f=4$ lattice QCD
• QED Corrections to Hadronic Processes in Lattice QCD
• The ${\rm Y}$ and ${{\rm Y}}^{\prime }$ Leptonic Widths, $a_{\mu }^b$ and $m_b$ from full lattice QCD
• Calculating the hadronic vacuum polarization and leading hadronic contribution to the muon anomalous magnetic moment with improved staggered quarks
• Lattice Calculation of Hadronic Light-by-Light Contribution to the Muon Anomalous Magnetic Moment
• Calculation of the hadronic vacuum polarization disconnected contribution to the muon anomalous magnetic moment
• Strange and charm quark contributions to the anomalous magnetic moment of the muon
• Leading-order hadronic contribution to the electron and muon g-2
• Radiative corrections to the lattice gluon action for highly improved staggered quarks (HISQ) and the effect of such corrections on the static potential
• Finite-volume effects in the muon anomalous magnetic moment on the lattice
• An estimate of the hadronic vacuum polarization disconnected contribution to the anomalous magnetic moment of the muon from lattice QCD
• Consequences of the BaBar e^+e^- --> pi^+pi^- Measurement for the Determination of Model-Dependent rho-omega Mixing Effects in Pi_{ρω}(m_ρ^2) and (g-2)_mu

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