Complete dispersive evaluation of the hadronic light-by-light contribution to muon $g-2$

Abstract

Hadronic light-by-light (HLbL) scattering defines one of the critical contributions in the Standard-Model prediction of the anomalous magnetic moment of the muon. In this Letter, we present a complete evaluation using a dispersive formalism, in which the HLbL tensor is reconstructed from its discontinuities, expressed in terms of simpler hadronic matrix elements that can be extracted from experiment. Profiting from recent developments in the determination of axial-vector transition form factors, short-distance constraints for the HLbL tensor, and the vector-vector-axial-vector correlator, we obtain $a_{\mu }^{\text{HLbL}}=101.9(7.9)\times 10^{-11}$, which meets the precision requirements set by the final result of the Fermilab experiment.

arXiv comment7 pages, 6 figures; journal version

References in corpus (97)

• The anomalous magnetic moment of the muon in the Standard Model
• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• Complete Tenth-Order QED Contribution to the Muon g-2
• RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses
• 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
• The Belle II Physics Book
• Future Physics Programme of BESIII
• 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
• 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
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.20 ppm
• Lattice calculation of the pion transition form factor with $N_f=2+1$ Wilson quarks
• Longitudinal short-distance constraints for the hadronic light-by-light contribution to $(g-2{)}_{\mu }$ with large-$N_c$ Regge models
• Version 3 of {\tt RunDec} and {\tt CRunDec}
• Dispersion relation for hadronic light-by-light scattering: theoretical foundations
• Hadronic vacuum polarization: $(g-2{)}_{\mu }$ versus global electroweak fits
• Towards a data-driven analysis of hadronic light-by-light scattering
• The muon $g$-2 and $\Delta \alpha$ connection
• Window observable for the hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Lattice calculation of the short and intermediate time-distance hadronic vacuum polarization contributions to the muon magnetic moment using twisted-mass fermions
• The $e^{+}{e}^{-}\to 2({\pi }^{+}{\pi }^{-}){\pi }^0$, 2(π^+π^-)η$,$K^+ K^-π^+π^-π^0$and$K^+ K^-π^+π^-η$ Cross Sections Measured with Initial-State Radiation
• Single meson contributions to the muon's anomalous magnetic moment
• Dispersive approach to hadronic light-by-light scattering
• Pion-pole contribution to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Light-by-light scattering sum rules in light of new data
• Constraints on the two-pion contribution to hadronic vacuum polarization
• Rescattering effects in the hadronic-light-by-light contribution to the anomalous magnetic moment of the muon
• Axial-vector exchange contribution to the hadronic light-by-light piece of the muon anomalous magnetic moment
• Dispersive analysis of the pion transition form factor
• Kaon-box contribution to the anomalous magnetic moment of the muon
• omega --> pi0 gamma* and phi --> pi0 gamma* Transition form factors in dispersion theory
• Roy-Steiner equations for gamma gamma -> pi pi
• Scalar Meson Contributions to a_μfrom Hadronic Light-by-Light Scattering
• Data-driven evaluations of Euclidean windows to scrutinize hadronic vacuum polarization
• MO analysis of the high statistics Belle results on $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ with chiral constraints
• Perturbative and nonperturbative renormalization of anomalous quark triangles
• Meson--photon transition form factors and resonance cross-sections in e^+ e^- collisions
• Dispersive analysis for $\eta \to \gamma {\gamma }^{\ast }$
• Extracting the chiral anomaly from gamma pi --> pi pi
• Hadronic light-by-light contribution to $(g-2{)}_{\mu }$ from lattice QCD: a complete calculation
• Unified dispersive approach to real and virtual photon-photon scattering at low energy
• Measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ cross section from threshold to 1.2 GeV with the CMD-3 detector
• Short-distance constraints on hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Anomalous decay and scattering processes of the eta meson
• Impact of correlations between $a_{\mu }$ and ${\alpha }_{QED}$ on the EW fit
• Model-independent approach to eta -> pi+ pi- gamma and eta' -> pi+ pi- gamma
• Kaon electromagnetic form factors in dispersion theory
• On the transition form factors of the axial-vector resonance $f_1(1285)$ and its decay into $e^{+}{e}^{-}$
• Axial vector transition form factors in holographic QCD and their contribution to the anomalous magnetic moment of the muon
• f_1(1285) Formation in Two-Photon Collisions at LEP
• New nonrenormalization theorems for anomalous three point functions
• Dispersive analysis of the $\gamma {\gamma }^{\ast }\to \pi \pi$ process
• A dispersive estimate of scalar contributions to hadronic light-by-light scattering
• On axials and pseudoscalars in the hadronic light-by-light contribution to the muon $(g-2)$
• Light-quark connected intermediate-window contributions to the muon $g-2$ hadronic vacuum polarization from lattice QCD
• Standard Model radiative corrections in the pion form factor measurements do not explain the $a_{\mu }$ anomaly
• Hadronic vacuum polarization and vector-meson resonance parameters from $e^{+}{e}^{-}\to {\pi }^0\gamma$
• Asymptotic behavior of meson transition form factors
• The two-loop perturbative correction to the (g-2)${}_{\mu }$ HLbL at short distances
• Measurement of the pion form factor with CMD-3 detector and its implication to the hadronic contribution to muon (g-2)
• Short-distance constraints for the longitudinal component of the hadronic light-by-light amplitude: an update
• Isospin-breaking effects in the two-pion contribution to hadronic vacuum polarization
• Four-point functions and the permutation group S4
• Short-distance HLbL contributions to the muon anomalous magnetic moment beyond perturbation theory
• Virtual photon-photon scattering
• Dispersion relations for ${\gamma }^{\ast }{\gamma }^{\ast }\to \pi \pi$: helicity amplitudes, subtractions, and anomalous thresholds
• The charm-quark contribution to light-by-light scattering in the muon $(g-2)$ from lattice QCD
• Effects of Longitudinal Short-Distance Constraints on the Hadronic Light-by-Light Contribution to the Muon $g-2$
• Tensions in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}(\gamma )$ measurements: the new landscape of data-driven hadronic vacuum polarization predictions for the muon $g-2$
• Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with solved $U(1{)}_A$ problem
• Axial-vector transition form factors and $e^{+}{e}^{-}\to f_1{\pi }^{+}{\pi }^{-}$
• A phenomenological estimate of isospin breaking in hadronic vacuum polarization
• Constraints on the hadronic light-by-light in the Melnikov-Vainshtein regime
• Towards an improved understanding of $\eta \to {\gamma }^{\ast }{\gamma }^{\ast }$
• Charge asymmetry in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ process
• Radiative corrections to the forward-backward asymmetry in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$
• Isospin-breaking effects in the three-pion contribution to hadronic vacuum polarization
• On some properties of the fourth-rank hadronic vacuum polarization tensor and the anomalous magnetic moment of the muon
• An optimized basis for hadronic light-by-light scattering
• Dispersion relations for hadronic light-by-light scattering in triangle kinematics
• Improved Standard-Model prediction for ${\pi }^0\to e^{+}{e}^{-}$
• A dispersive analysis of ${\eta }^{\prime }\to {\pi }^{+}{\pi }^{-}\gamma$ and ${\eta }^{\prime }\to {\ell }^{+}{\ell }^{-}\gamma$
• Mixed leptonic and hadronic corrections to the anomalous magnetic moment of the muon
• Measurement of additional radiation in the initial-state-radiation processes $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}\gamma$ and $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma$ at BABAR
• The semileptonic decays ${\eta }^{(\prime )}\to {\pi }^0{\ell }^{+}{\ell }^{-}$ and ${\eta }^{\prime }\to \eta {\ell }^{+}{\ell }^{-}$ in the standard model

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