Reconsideration of the inclusive prompt photon production at the 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 kT-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*$\bar{q}$*→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 subleading high-order O(αα$_{s}^2$) contributions, not covered by the noncollinear evolution of parton densities, are important to describe latest LHC data