English

Scaling Limit of Deeply Virtual Compton Scattering

High Energy Physics - Phenomenology 2014-11-17 v4

Abstract

I outline a perturbative QCD approach to the analysis of the deeply virtual Compton scattering process γpγp\gamma^* p \to \gamma p' in the limit of vanishing momentum transfer t=(pp)2t= (p' - p)^2. The DVCS amplitude in this limit exhibits a scaling behaviour described by a two-argument distributions F(x,y)F(x,y) which specify the fractions of the initial momentum pp and the momentum transfer rppr \equiv p'-p carried by the constituents of the nucleon.The kernel R(x,y;ξ,η)R(x,y;\xi,\eta) governing the evolution of the non-forward distributions F(x,y)F(x,y) has a remarkable property: it produces the GLAPD evolution kernel P(x/ξ)P(x/\xi) when integrated over yy and reduces to the Brodsky-Lepage evolution kernel V(y,η)V(y,\eta) after the xx-integration. This property is used to construct the solution of the one-loop evolution equation for the flavour non-singlet part of the non-forward quark distribution.

Keywords

Cite

@article{arxiv.hep-ph/9604317,
  title  = {Scaling Limit of Deeply Virtual Compton Scattering},
  author = {A. V. Radyushkin},
  journal= {arXiv preprint arXiv:hep-ph/9604317},
  year   = {2014}
}

Comments

gziped, tar file of LaTeX paper plus 2 postscript figures,10 pages; some changes in new terminology

R2 v1 2026-07-22T14:30:47.511Z