Sudakov resummation for prompt-photon production in hadron collisions

We present the explicit expressions for the resummation of large-x(T) Sudakov effects in the transverse-energy distribution of prompt-photons produced in hadronic collisions, to next-to-leading logarithmic (NLL) accuracy. Fragmentation processes do not contribute to the Sudakov resummation at NLL level. In Mellin space, the resummed radiative factor is the product of independent radiators for each external coloured parton appearing in the Born process, times a simple factor describing the interferences between initial- and final-state soft-gluon radiation. The formulae are given in terms of Mellin moments, and can be used for phenomenological applications using standard techniques for the inverse-Mellin transforms. The calculations presented in this work, when added to the existing works on DY and DIS production, complete the theoretcal ground-work necessary to carry out global fits of parton densities with a uniform NLL accuracy in the large-x region