Calculation of the transverse parton distribution functions at next-to-next-to-leading order
High Energy Physics - Phenomenology
2022-02-08 v3 High Energy Physics - Theory
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 resummation for a large class of processes at hadron colliders.
Keywords
Cite
@article{arxiv.1403.6451,
title = {Calculation of the transverse parton distribution functions at next-to-next-to-leading order},
author = {Thomas Gehrmann and Thomas Luebbert and Li Lin Yang},
journal= {arXiv preprint arXiv:1403.6451},
year = {2022}
}
Comments
34 pages, 2 figures, FORM file of results included to source; fixed a typo in I_{q/q}^{(2)}