Calculation of the transverse parton distribution functions at next-to-next-to-leading order

Thomas Gehrmann (Department of Physics, University of Zürich, 8057 Zürich, Switzerland) ; Thomas Lübbert (II. Institute for Theoretical Physics, University of Hamburg, 22761 Hamburg, Germany; Department of Physics, University of Zürich, 8057 Zürich, Switzerland) ; Li Lin Yang (Collaborative Innovation Center of Quantum Matter, Beijing, China; Center for High Energy Physics, Peking University, Beijing 100871, China; School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China)

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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Published on:
26 June 2014
Publisher:
Springer/SISSA
Published in:
Journal of High Energy Physics (2014)

DOI:
https://doi.org/10.1007/JHEP06(2014)155
arXiv:
1403.6451
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: