Transverse Parton Distribution Functions at   Next-To-Next-To-Leading-Order
  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. 
Thomas Gehrmann, Thomas Luebbert, Li Lin Yang
hep-ph