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

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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 qₜ resummation in a large class of processes at hadron colliders.