Abstract
We describe the 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 the cancellation of light-cone divergences and show that universal process-independent transverse parton distribution functions can be obtained through a refactorization. Our results serve as the first explicit higher-order calculation of these functions starting from first principles, and can be used to perform next-to-next-to-next-to-leading logarithmic q T resummation for a large class of processes at hadron colliders.
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Gehrmann, T., Lübbert, T. & Yang, L.L. Calculation of the transverse parton distribution functions at next-to-next-to-leading order. J. High Energ. Phys. 2014, 155 (2014). https://doi.org/10.1007/JHEP06(2014)155
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DOI: https://doi.org/10.1007/JHEP06(2014)155