Dispersion relation for hadronic light-by-light scattering: subleading contributions

Abstract

In this work, we present an evaluation of subleading effects in the hadronic light-by-light contribution to the anomalous magnetic moment of the muon. Using a recently derived optimized basis, we first study the matching of axial-vector contributions to short-distance constraints at the level of the scalar basis functions, finding that also the tails of the pseudoscalar poles and tensor mesons play a role. We then develop a matching strategy that allows for a combined evaluation of axial-vector and short-distance constraints, supplemented by an estimate of tensor-meson contributions based on simplified assumptions for their transition form factors. Uncertainties are primarily propagated from the axial-vector transition form factors and the variation of the matching scale, but we also consider estimates of the low-energy effect of hadronic states not explicitly included. In total, we obtain $a_{\mu }^{\text{HLbL}}{|}_{\text{subleading}}=33.2(7.2)\times 10^{-11}$, which in combination with previously evaluated contributions in the dispersive approach leads to $a_{\mu }^{\text{HLbL}}{|}_{\text{total}}=101.9(7.9)\times 10^{-11}$.

28 pages, 7 figures; journal version

References in corpus (22)

• 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
• Towards a data-driven analysis of hadronic light-by-light scattering
• The muon $g$-2 and $\Delta \alpha$ connection
• Lattice QCD at the physical point: light quark masses
• Light-by-light scattering sum rules in light of new data
• Dispersive analysis of the pion transition form factor
• MO analysis of the high statistics Belle results on $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ with chiral constraints
• Extracting the chiral anomaly from gamma pi --> pi pi
• Anomalous decay and scattering processes of the eta meson
• Kaon electromagnetic form factors in dispersion theory
• Asymptotic behavior of meson transition form factors
• 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
• Dispersion relations for ${\gamma }^{\ast }{\gamma }^{\ast }\to \pi \pi$: helicity amplitudes, subtractions, and anomalous thresholds
• Axial-vector transition form factors and $e^{+}{e}^{-}\to f_1{\pi }^{+}{\pi }^{-}$
• 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
• Complete dispersive evaluation of the hadronic light-by-light contribution to muon $g-2$
• Light quark masses in N_f = 2+1 lattice QCD with Wilson fermions

Cited by in corpus (1)

• Hadronic light-by-light scattering in the anomalous magnetic moments of electron and $\tau$