Reconsideration of the inclusive prompt photon production at the LHC with kT-factorization

We reconsider the inclusive production of isolated prompt photons in pp collisions at the LHC energies in the framework of k(T)-factorization approach. Our analysis is based on the O(alpha alpha(s)) off-shell ( depending on the transverse momenta of initial quarks and gluons) production amplitudes of q* g* -> gamma q and q* (q*) over bar -> gamma g partonic subprocesses and transverse momentum dependent (or unintegrated) quark and gluon densities in a proton, which are chosen in accordance with the Kimber-Martin-Ryskin prescription. We show that the subleading high-order O(alpha alpha(2)(s)) contributions, not covered by the noncollinear evolution of parton densities, are important to describe latest LHC data.