The next-to-leading order of the differential crosssection of the subprocess of compton scattering of quark-gluon of prompt photon production in protonproton collisions at NICA energies

In the presented article next-to-the leading order calculation of differential crosssection of the subprocess of Compton scattering qg → qy of prompt photon production in proton-proton collisions at NICA energies has been carried out without and taking into account the longitudinal polarization of colliding protons. Shown, that contribution of the next-to-leading order to differential cross-section is significant at the high energies of colliding protons and consist around 15% of leading order calculation. The influence of polarization of colliding protons on the next-to-leading order calculation is more significant than on the leading order calculation.