Estimates for Pion-Photon Transition Distributions

Abstract

In the scaling regime, amplitudes for backward virtual Compton scattering and hadron annihilation into two photons depend on structure functions that describe the hadron-photon transition at the partonic level. We construct simple analytical models for the vector and axial-vector pion-photon transition distribution amplitudes based on double distributions. Via a sum rule, these models are tuned to reproduce the pion-photon transition form factors. To obtain reasonable estimates of the distributions at a low scale, we modify the models to saturate the positivity bounds using empirically parametrized parton distributions. We also determine a model-independent contribution to the axial-vector transition distribution using chiral perturbation theory.

14 pages, 5 figures, Refs. added

References in corpus (6)

• Unraveling hadron structure with generalized parton distributions
• QCD analysis of bar p N -> gamma* pi in the scaling limit
• Hadron annihilation into two photons and backward dVCS in the scaling regime of QCD
• Double distributions: Loose ends
• Double distributions for the proton
• Generalised Parton Distributions of the Pion on the Transverse Lattice

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