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arXiv · 1209.0682

Transverse parton distribution functions at next-to-next-to-leading order: the quark-to-quark case

Thomas Gehrmann·Thomas Lübbert·Li Lin Yang
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Abstract

We present a calculation of the perturbative quark-to-quark transverse parton distribution function at 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 from our calculation 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.

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Thomas Gehrmann, Thomas Lübbert, Li Lin Yang. 2012-11-05. Transverse parton distribution functions at next-to-next-to-leading order: the quark-to-quark case. https://doi.org/10.1103/physrevlett.109.242003

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