Manifestly Covariant Analysis of the QED Compton Process in $e p\to e γp$ and $e p \to e γX$

Details Manifestly Covariant Analysis of the QED Compton Process in $e p\to e γp$ and $e p \to e γX$ Manifestly Covariant Analysis of the QED Compton Process in $e p\to e γp$ and $e p \to e γX$

2003-06-27

arxiv.org/abs/hep-ph/0306275v1

Eur.Phys.J.C30:477-486,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, 4 figures, 2 tables

Scientific paper

10.1140/epjc/s2003-01308-0

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 $F_{1,2} (x_B,Q^2)$, 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 $x_{\gamma}$ bins, where $x_{\gamma}$ is the fraction of the longitudinal momentum of the proton carried by the virtual photon, compared to the bins in the leptonic variable $x_l$.

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