Data-based determination of the isospin-limit light-quark-connected contribution to the anomalous magnetic moment of the muon

Abstract

We describe how recent determinations of exclusive-mode contributions to $a_{\mu }^{\mathrm{LO},\mathrm{HVP}}$, the leading-order hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon, can be used to provide, up to small electromagnetic (EM) corrections accessible from the lattice, a data-based dispersive determination of $a_{\mu }^{\mathrm{lqc};\mathrm{IL}}$, the isospin-limit, light-quark-connected contribution to $a_{\mu }^{\mathrm{LO},\mathrm{HVP}}$. Such a determination is of interest in view of the existence of a number of lattice results for this quantity, emerging evidence for a tension between lattice and dispersive determinations of $a_{\mu }^{\mathrm{LO},\mathrm{HVP}}$, and the desire to clarify the source of this tension. Taking as input for the small EM correction that must be applied to the purely data-driven dispersive determination the result $-0.93(58)\times 10^{-10}$ obtained in a recent BMW lattice study, we find $a_{\mu }^{\mathrm{lqc};\mathrm{IL}}$ to be $635.0(2.7)\times 10^{-10}$ if the results of Keshavarzi, Nomura and Teubner are used for the exclusive-mode contributions and $638.4(4.1)\times 10^{-10}$ if instead those of Davier, Höcker, Malaescu and Zhang are used.

19 pages, 1 figure

References in corpus (15)

• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium
• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• Hadronic Z- and tau-Decays in Order alpha_s^4
• The five-loop beta function of Yang-Mills theory with fermions
• Window observable for the hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Electromagnetic and strong isospin-breaking corrections to the muon $g-2$ from Lattice QCD+QED
• Data-driven evaluations of Euclidean windows to scrutinize hadronic vacuum polarization
• Strange and charm quark contributions to the anomalous magnetic moment of the muon
• Isospin-breaking effects in the two-pion contribution to hadronic vacuum polarization
• The muon anomalous magnetic moment with staggered fermions: is the lattice spacing small enough?
• Strange and charm HVP contributions to the muon ($g-2)$ including QED corrections with twisted-mass fermions
• The strong coupling from an improved $\tau$ vector isovector spectral function
• Measurement of the Cross Section for $e^{+}{e}^{-}\to$ hadrons at Energies from 2.2324 to 3.6710 GeV
• Spectral-weight sum rules for the hadronic vacuum polarization

Cited by in corpus (7)

• A phenomenological estimate of isospin breaking in hadronic vacuum polarization
• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• $\tau$ data-driven evaluation of Euclidean windows for the hadronic vacuum polarization
• Renormalization group summation and analytic continuation from spacelike to timeline regions
• Perturbative QCD below charm threshold: theory and tensions with $e^{+}{e}^{-}$ data
• Tensor Meson Pole contributions to the HLbL piece of $a_{\mu }$ within R$\chi$T
• Tau Data-Based Evaluations of the hadronic vacuum polarization contribution to the muon $g-2$