Abstract
The amplitude for the production of a single photon associated with a quark pair in the fusion of two off-shell gluons is calculated. The matrix element found is applied to the inclusive prompt photon hadroproduction at high energies in the framework of the ${k}_{T}$-factorization QCD approach. The total and differential cross sections are calculated in both central and forward pseudorapidity regions. The conservative error analysis is performed. We used the unintegrated gluon distributions in a proton which were obtained from the full Catani-Ciafaloni-Fiorani-Marchesini (CCFM) evolution equation as well as from the Kimber-Martin-Ryskin prescription. Theoretical results were compared with recent experimental data taken by the D0 and CDF collaborations at Fermilab Tevatron. Theoretical predictions for the LHC energies are given.
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