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Light-by-light scattering sum rules constraining meson transition form factors

Vladimir Pascalutsa1, Vladyslav Pauk1,2, and Marc Vanderhaeghen1

  • 1Institut für Kernphysik, Johannes Gutenberg Universität, Mainz D-55099, Germany
  • 2Department of Physics, Taras Shevchenko National University of Kyiv, Kyiv, 01601, Ukraine

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Phys. Rev. D 85, 116001 – Published 12 June, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.116001

Abstract

Relating the forward light-by-light scattering to energy weighted integrals of the γ*γ fusion cross sections, with one real photon (γ) and one virtual photon (γ*), we find two new exact superconvergence relations. They complement the known superconvergence relation based on the extension of the Gerasimov-Drell-Hearn sum rule to the light-light system. We also find a set of sum rules for the low-energy photon-photon interaction. All of the new relations are verified here exactly at leading order in scalar and spinor QED. The superconvergence relations, applied to the γ*γ production of mesons, lead to intricate relations between the γγ decay widths or the γ*γ transition form factors for (pseudo)scalar, axial-vector, and tensor mesons. We discuss the phenomenological implications of these results for mesons in both the light-quark sector and the charm-quark sector.

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See Also

Sum Rules for Light-by-Light Scattering

Vladimir Pascalutsa and Marc Vanderhaeghen
Phys. Rev. Lett. 105, 201603 (2010)

Article Text

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Phys. Rev. D 85, 116001– Published 12 June, 2012
  • Received 10 April 2012

© 2012 American Physical Society

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