Towards a data-driven analysis of hadronic light-by-light scattering

Abstract

The hadronic light-by-light contribution to the anomalous magnetic moment of the muon was recently analyzed in the framework of dispersion theory, providing a systematic formalism where all input quantities are expressed in terms of on-shell form factors and scattering amplitudes that are in principle accessible in experiment. We briefly review the main ideas behind this framework and discuss the various experimental ingredients needed for the evaluation of one- and two-pion intermediate states. In particular, we identify processes that in the absence of data for doubly-virtual pion-photon interactions can help constrain parameters in the dispersive reconstruction of the relevant input quantities, the pion transition form factor and the helicity partial waves for ${\gamma }^{\ast }{\gamma }^{\ast }\to \pi \pi$.

7 pages, 4 figures, 2 tables, journal version

References in corpus (8)

• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD
• Study of the electromagnetic transition form-factors in η-> μ^+μ^-γand ω-> μ^+μ^-π^0 decays with NA60
• Dispersive analysis of omega --> 3pi and phi --> 3pi decays
• 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
• Study of the process e+e- -> omega pi0 in the phi-meson mass region with the KLOE detector
• Dispersion representations and anomalous singularities of the triangle diagram

Cited by in corpus (31)

• Baryons as relativistic three-quark bound states
• The muon $g$-2 and $\Delta \alpha$ connection
• Limiting two-Higgs-doublet models
• A new approach to evaluate the leading hadronic corrections to the muon g-2
• Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD
• Light-by-light scattering sum rules in light of new data
• Dispersive analysis of the pion transition form factor
• New Barr-Zee contributions to $(\mathbf{g}-2{)}_{\mu }$ in two-Higgs-doublet models
• Connected and leading disconnected hadronic light-by-light contribution to the muon anomalous magnetic moment with physical pion mass
• Anomalous magnetic moment of the muon in a dispersive approach
• Anomalous decay and scattering processes of the eta meson
• Lattice calculation of the pion transition form factor ${\pi }^0\to {\gamma }^{\ast }{\gamma }^{\ast }$
• Kaon electromagnetic form factors in dispersion theory
• Precision study of the $\eta \to {\mu }^{+}{\mu }^{-}\gamma$ and $\omega \to {\mu }^{+}{\mu }^{-}{\pi }^0$ electromagnetic transition form-factors and of the $\rho \to {\mu }^{+}{\mu }^{-}$ line shape in NA60
• Asymptotic behavior of meson transition form factors
• Short-distance constraints for the longitudinal component of the hadronic light-by-light amplitude: an update
• Radiative resonance couplings in $\gamma \pi \to \pi \pi$
• Dispersion relations for ${\gamma }^{\ast }{\gamma }^{\ast }\to \pi \pi$: helicity amplitudes, subtractions, and anomalous thresholds
• Pion light-by-light contributions to the muon $g-2$
• The hadronic light-by-light contribution to the muon's anomalous magnetic moment
• Measurement of the pi^0 -> e^+e^-gamma Dalitz decay at the Mainz Microtron
• The anomalous magnetic moment of the muon: status of Lattice QCD calculations
• Hadronic vacuum polarization function within dispersive approach to QCD
• Constraints on the $\omega \pi$ form factor from analyticity and unitarity
• Electron-positron annihilation into hadrons at the higher-loop levels
• Search for the process $e^{+}{e}^{-}\to {\eta }^{\prime }(958)$ with the CMD-3 detector
• Mixed leptonic and hadronic corrections to the anomalous magnetic moment of the muon
• Analysis of the J/psi --> pi^0 gamma^* transition form factor
• Dispersive analysis of the Primakoff reaction $\gamma K\to K\pi$
• A to Z of the Muon Anomalous Magnetic Moment in the MSSM with Pati-Salam at the GUT scale
• Overview of the hadronic light-by-light contribution to the muon (g-2)