Transverse Parton Distribution Functions at Next-To-Next-To-Leading-Order

Abstract

We present a perturbative calculation of the transverse parton distribution functions in all partonic channels up to next-to-next-to-leading order based on a gauge invariant operator definition. We demonstrate for the first time that such a definition works beyond the first non-trivial order. We extract the coefficient functions relevant for a next-to-next-to-next-to-leading logarithmic $q_T$ resummation in a large class of processes at hadron colliders.

Comments: 10 pages, 1 figure, presented at the 11th International Symposium on Radiative Corrections, RADCOR 2013, 22.-27. September 2013, Lumley Castle, Durham, UK