Manifestly covariant analysis of the QED Compton process in e p ---> e gamma p and e p ---> e gamma X

Jun, 2003
22 pages
Published in:
  • Eur.Phys.J.C 30 (2003) 477-486
e-Print:
Report number:
  • DO-TH-03-09

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Abstract:
We calculate the unpolarized QED Compton scattering cross section in a manifestly covariant way. Our approach allows a direct implementation of the specific kinematical cuts imposed in the experiments, {\it e. g.} HERA-H1. We compare the 'exact' cross section in terms of the structure functions F1,2(xB,Q2)F_{1,2} (x_B,Q^2), assuming the Callan-Gross relation, with the one obtained using the equivalent photon approximation (EPA) as well as with the experimental results. We find that the agreement with the EPA is better in xγx_{\gamma} bins, where xγx_{\gamma} is the fraction of the longitudinal momentum of the proton carried by the virtual photon, compared to the bins in the leptonic variable xlx_l.
Note:
  • 22 pages, 4 figures, 2 tables Report-no: DO-TH 03/09 Journal-ref: Eur. Phys. J. C30: 477-486, 2003
  • electron p: exclusive reaction
  • electron p: inclusive reaction
  • photon: electroproduction
  • quantum electrodynamics
  • Compton scattering
  • p: structure function
  • sum rule: Callan-Gross
  • equivalent photon approximation
  • differential cross section
  • numerical calculations: DESY HERA Stor