Abstract
We present a next-to-leading order calculation of prompt photon production in deep-inelastic scattering. The calculation involves direct, fragmentation and resolved contributions. Inclusive as well as isolated photon production cross sections are presented. The relevance of imposing a transverse momentum cut-off in the virtual-photon proton center-of-mass system rather than in the laboratory frame is discussed. Whenever possible, a comparison of the theoretical results with recent HERA data is carried out.
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