Estimates for Pion-Photon Transition Distributions

Details Estimates for Pion-Photon Transition Distributions Estimates for Pion-Photon Transition Distributions

2005-08-09

arxiv.org/abs/hep-ph/0508112v2

Phys.Rev. D72 (2005) 094001

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 5 figures, Refs. added

Scientific paper

10.1103/PhysRevD.72.094001

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.

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