Precision of a data-driven estimate of hadronic light-by-light scattering in the muon g2: Pseudoscalar-pole contribution

Andreas Nyffeler
Phys. Rev. D 94, 053006 – Published 19 September 2016

Abstract

Within a dispersive approach to hadronic light-by-light scattering in the muon g2, the evaluation of the numerically dominant pseudoscalar-pole contribution involves the pseudoscalar-photon transition form factor FPγ*γ*(Q12,Q22) with P=π0,η,η and, in general, two off-shell photons with spacelike momenta Q1,22. We show that for π0(η,η), 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 π0,η,η-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.

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  • Received 14 June 2016

DOI:https://doi.org/10.1103/PhysRevD.94.053006

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Andreas Nyffeler*

  • Institut für Kernphysik and PRISMA Cluster of Excellence, Johannes Gutenberg-Universität Mainz, D-55128 Mainz, Germany

  • *nyffeler@kph.uni-mainz.de

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Issue

Vol. 94, Iss. 5 — 1 September 2016

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