High-energy resummation in direct photon production

We present the computation of the direct photon production cross-section in
perturbative QCD to all orders in the limit of high partonic center-of-mass energy.
We show how the high-energy resummation can be performed consistently in the
presence of a collinear singularity in the final state, we compare our results to the
fixed order NLO cross-section in MS scheme, and we provide predictions at NNLO
and beyond.