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Prompt photons, together with an accompanying jet, have been studied in the photoproduction regime of ep scattering with the ZEUS detector at HERA. Predictions based on leading-logarithm parton-shower Monte Carlo models and next-to-leading-order (NLO) QCD underestimate the gamma+jet cross sections for transverse energies of prompt photons below 7 GeV, while the kT-factorisation QCD calculation agrees with the data in this region.

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