DVCS amplitude with kinematical twist-3 terms

Details DVCS amplitude with kinematical twist-3 terms DVCS amplitude with kinematical twist-3 terms

2000-08-21

arxiv.org/abs/hep-ph/0008214v5

Phys.Lett. B493 (2000) 332-340

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, Latex; discussion of singularities corrected

Scientific paper

10.1016/S0370-2693(00)01155-2

We compute the amplitude of deeply virtual Compton scattering (DVCS) using the calculus of QCD string operators in coordinate representation. To restore the electromagnetic gauge invariance (transversality) of the twist-2 amplitude we include the operators of twist-3 which appear as total derivatives of twist-2 operators. Our results are equivalent to a Wandzura-Wilczek approximation for twist-3 skewed parton distributions. We find that this approximation gives a finite result for the amplitude of a longitudinally polarized virtual photon, while the amplitude for transverse polarization is divergent, i.e., factorization breaks down in this term. However, the divergent part has zero projection onto the polarization vector of the final real photon.

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