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.

arXiv comment19 pages, 1 figure

References in corpus (64)

• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The anomalous magnetic moment of the muon in the Standard Model
• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• FLAG Review 2019
• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• Complete Tenth-Order QED Contribution to the Muon g-2
• Refinements in electroweak contributions to the muon anomalous magnetic moment
• Reevaluation of the hadronic vacuum polarisation contributions to the Standard Model predictions of the muon g-2 and alpha(mZ) using newest hadronic cross-section data
• Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment revisited
• 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
• Two-pion contribution to hadronic vacuum polarization
• A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to $\mathbf{\alpha }({\mathbf{m}}_{\mathbf{Z}}^2)$
• The electroweak contributions to (g-2)_μ after the Higgs boson mass measurement
• Hadronic Z- and tau-Decays in Order alpha_s^4
• Remarks on higher-order hadronic corrections to the muon g-2
• Dispersion relation for hadronic light-by-light scattering: two-pion contributions
• The hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD
• Three-pion contribution to hadronic vacuum polarization
• Dispersion relation for hadronic light-by-light scattering: pion pole
• Pseudoscalar-pole contribution to the $(g_{\mu }-2)$: a rational approach
• Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment
• Lattice calculation of the pion transition form factor with $N_f=2+1$ Wilson quarks
• Calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment
• The five-loop beta function of Yang-Mills theory with fermions
• Longitudinal short-distance constraints for the hadronic light-by-light contribution to $(g-2{)}_{\mu }$ with large-$N_c$ Regge models
• Measurements of the Cross Section for e+e- -> hadrons at Center-of-Mass Energies from 2 to 5 GeV
• Lattice calculation of the lowest order hadronic contribution to the muon anomalous magnetic moment
• Measurements of e+e- -> K+K-eta, K+K-pi0 and KsK+pi- Cross Sections Using Initial State Radiation Events
• Hadronic vacuum polarization contribution to the anomalous magnetic moments of leptons from first principles
• Window observable for the hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Pion-pole contribution to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Hadronic Contributions to the Muon $g-2$ and Low-Energy QCD
• Rescattering effects in the hadronic-light-by-light contribution to the anomalous magnetic moment of the muon
• The leading hadronic contribution to $(g-2{)}_{\mu }$ from lattice QCD with $N_{\mathrm{f}}=2+1$ flavours of O($a$) improved Wilson quarks
• Consistency of hadronic vacuum polarization between lattice QCD and the R-ratio
• Hadronic-vacuum-polarization contribution to the muon's anomalous magnetic moment from four-flavor lattice QCD
• Electromagnetic and strong isospin-breaking corrections to the muon $g-2$ from Lattice QCD+QED
• Light quark vacuum polarization at the physical point and contribution to the muon $g-2$
• Data-driven evaluations of Euclidean windows to scrutinize hadronic vacuum polarization
• Hadronic vacuum polarization contribution to the muon $g-2$ with 2+1 flavor lattice QCD on a larger than (10 fm${)}^4$ lattice at the physical point
• Unified dispersive approach to real and virtual photon-photon scattering at low energy
• The hadronic vacuum polarization contribution to $a_{\mu }$ from full lattice QCD
• Cross Sections for the Reactions e+e- --> K+ K- pi+pi-, K+ K- pi0pi0, and K+ K- K+ K- Measured Using Initial-State Radiation Events
• Short-distance constraints on hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Electromagnetic corrections in hadronic processes
• 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
• $R$ value measurements for $e^{+}{e}^{-}$ annihilation at 2.60, 3.07 and 3.65 GeV
• Hadronic vacuum polarization and vector-meson resonance parameters from $e^{+}{e}^{-}\to {\pi }^0\gamma$
• The light-quark contribution to the leading HVP term of the muon $g-2$ from twisted-mass fermions
• 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?
• Hyperasymptotics and quark-hadron duality violations in QCD
• Electromagnetic Contributions to Vector Meson Masses and Mixings
• 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 spectral function for the ${\tau }^{-}\to K^{-}{K}_S{\nu }_{\tau }$ decay
• Precise measurement of $R_{\text{uds}}$ and $R$ between 1.84 and 3.72 GeV at the KEDR detector
• 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
• A ChPT estimate of the strong-isospin-breaking contribution to the anomalous magnetic moment of the muon
• On four-derivative terms in IIB Calabi-Yau orientifold reductions

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• A phenomenological estimate of isospin breaking in hadronic vacuum polarization
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• $\tau$ 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 $g-2$