Reconsideration of the inclusive prompt photon production at LHC with k_T-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(αα_s) off-shell (depending on the transverse momenta of initial quarks and gluons) production amplitudes of q*g* → γq and q* anti q* → γg 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 sub-leading high-order O(αα_s²) contributions, not covered by the non-collinear evolution of parton densities, are important to describe latest LHC data.