Manifestly Covariant Analysis of the QED Compton Process in $ep\to e\gamma p$ and $ep\to e\gamma X$

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 $F_{1,2}(x_B,Q^2)$, 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 $x_l$.

arXiv comment22 pages, 4 figures, 2 tables

References in corpus (6)

• Deeply Virtual Compton Scattering
• $\gamma \gamma$ Processes at High Energy pp Colliders
• $\gamma \gamma$ Production of Non--Strongly Interacting SUSY Particles at Hadron Colliders
• The Polarized and Unpolarized Photon Content of the Nucleon
• On the photon constituency of protons
• Delineating the polarized and unpolarized photon distributions of the nucleon in eN collisions

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