Prompt photon hadroproduction at high energies in the kT-factorization approach

We consider the prompt photon production at high energy hadron colliders in the framework of the kT-factorization approach. The unintegrated quark and gluon distributions in a proton are determined using the Kimber-Martin-Ryskin prescription. The conservative error analysis is performed. We investigate both inclusive prompt photon and prompt photon and associated muon production rates. In a standard model such events occur mainly due to the Compton scattering process where the final heavy (charm or bottom) quark produces a muon. The theoretical results are compared with recent experimental data taken by the D and CDF collaborations at Fermilab Tevatron. Our analysis also covers the azimuthal correlations between the produced prompt photon and muon which can provide an important information about non-collinear parton evolution in a proton. Finally, we extrapolate the theoretical predictions to CERN LHC energies