On the precision of a data-driven estimate of hadronic light-by-light scattering in the muon g-2: pseudoscalar-pole contribution

Abstract

The evaluation of the numerically dominant pseudoscalar-pole contribution to hadronic light-by-light scattering in the muon g-2 involves the pseudoscalar-photon transition form factor F_{P gamma^* gamma^*}(-Q_1^2, -Q_2^2) with P = pi^0, eta, eta^\prime and, in general, two off-shell photons with spacelike momenta Q_{1,2}^2. We show, in a largely model-independent way, that for pi^0 (eta, eta^\prime) the region of photon momenta below about 1 (1.5) GeV gives the main contribution to hadronic light-by-light scattering. We then discuss how the precision of current and future measurements of the single- and double-virtual transition form factor in different momentum regions impacts the precision of a data-driven estimate of this contribution to hadronic light-by-light scattering. Based on Monte Carlo simulations for a planned first measurement of the double-virtual form factor at BESIII, we find that for the pi^0, eta, eta^\prime-pole contributions a precision of 14\%, 23\%, 15\% seems feasible. Further improvements can be expected from other experimental data and also from the use of dispersion relations for the different form factors themselves.

50 pages, 21 figures, 8 tables

References in corpus (30)

• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• Measurement of gamma gamma* --> pi0 transition form factor at Belle
• Towards a data-driven analysis of hadronic light-by-light scattering
• 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 the pion transition form factor
• A New Measurement of the ${\pi }^0$ Radiative Decay Width
• Anomalous magnetic moment of the muon in a dispersive approach
• The Hadronic Light-by-Light Contribution to the Muon Anomalous Magnetic Moment: Where do we stand?
• Measurement of the rare decay pi0 -> e+ e-
• Lattice Calculation of Hadronic Light-by-Light Contribution to the Muon Anomalous Magnetic Moment
• Anomalous decay and scattering processes of the eta meson
• The ${\eta }^{\prime }$ transition form factor from space- and time-like experimental data
• Observation of the Dalitz Decay ${\eta }^{\prime }\to \gamma e^{+}{e}^{-}$
• Leading-order hadronic contribution to the electron and muon g-2
• The pseudoscalar hadronic channel contribution of the light-by-light process to the muon (g-2) within the nonlocal chiral quark model
• The hadronic light by light contribution to the $(g-2{)}_{\mu }$ with holographic models of QCD
• Axial anomaly and the precise value of the ${\pi }^0\to 2\gamma$ decay width
• Pseudo scalar contributions to light-by-light correction of muon g-2 in AdS/QCD
• Pion pole light-by-light contribution to g-2 of the muon in a nonlocal chiral quark model
• Rare decay ${\pi }^0\to e^{+}{e}^{-}$: on corrections beyond the leading order
• The light-by-light contribution to the muon (g-2) from lightest pseudoscalar and scalar mesons within nonlocal chiral quark model
• Determination of the Parity of the Neutral Pion via the Four-Electron Decay
• The role of momentum dependent dressing functions and vector meson dominance in hadronic light-by-light contributions to the muon g-2
• EKHARA Monte Carlo generator for e+e- to e+e-pi0 and e+e- to e+e- pi+pi- processes
• Next Generation Muon g-2 Experiments
• On mass corrections to the decays P \to l^+l^-
• Hadronic light-by-light contribution to $a_{\mu }$: extended Nambu-Jona-Lasinio, chiral quark models and chiral Lagrangians
• Review of Recent Calculations of the Hadronic Vacuum Polarisation Contribution
• The HLS approach to $(g-2{)}_{\mu }$~: A Solution to the "$\tau$ versus $e^{+}{e}^{-}$" Puzzle

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