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Wandzura–Wilczek approximation for the twist-3 DVCS amplitude

2000/07/31 by N. Kivel, M. V. Polyakov, Maxim V. Polyakov +4 · 4 citations
Physics and Astronomy · #Amplitude #Factorization #High-Energy Particle Collisions Research #Observable #Particle physics #Particle physics theoretical and experimental studies #Parton #Photon #Physics #Polarization (electrochemistry) #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Scattering #Scattering amplitude #Twist #hep-ph

paper · pdf · doi:10.1016/s0370-2693(00)01313-7

published as Phys.Lett. B497 (2001) 73-79 · 9 pages, no figures (To appear in Phys. Lett. B)

arxiv created 2000/10/31 · openalex publication_date 2001/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a derivation of Wandzura-Wilczek (WW) like relations for skewed parton distributions. It is demonstrated for photon-pion scattering that the skewed twist-3 parton distributions contributing to the DVCS amplitude have discontinuities at the points x=±ξ in the WW approximation. This may lead to a violation of factorisation for the twist-3 DVCS amplitude with transverse polarization of the virtual photon. We show, however, that the contribution of the divergencies to the scattering of a transversely polarized virtual photon affects DVCS observables only at order 1/Q2 and can be neglected at twist-3 accuracy. For the scattering of a longitudinally polarized photon the twist-3 amplitude is free of such divergencies.

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