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

By Thomas Gehrmann, Thomas Lübbert, Li Lin Yang. 2014

153 citations recorded by the source corpus.

A bstractWe 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 qT resummation for a large class of processes at hadron colliders.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/788af1edc99d919a406deab544a24d8f6cdb0fb6

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In Nuclear and High Energy Physics

Citations in the corpus

Introduction to Soft-Collinear Effective Theory (2014, methodology): “) An important ingredient for the matching to fixed-order computations and to increase the accuracy of the resummations are the two-loop beam functions relevant for this case, which were computed in [211,212] using the analytic regulator introduced in [13].”
Unpolarized transverse momentum dependent parton distribution and fragmentation functions at next-to-next-to-leading order (2016, methodology): “[2, 7, 8, 12–19, 38]), the expression for C [1] q←g is also well-known [7, 8, 17, 19] (note that there is a misprint in [19]), and the expression for C [1] g←q and C [1] g←g have been obtained in [17, 19].”
Analysis of vector boson production within TMD factorization (2017, background): “where C is known up to two-loop order [11, 49].”
W±Z production at the LHC: fiducial cross sections and distributions in NNLO QCD (2016, methodology): “f. [101] has been extended to the calculation of the NNLO coecient HF(2) [104]. These results have been conrmed through an independent calculation in the framework of Soft{Collinear Eective Theory [105,106]. The counterterm d˙CT (N)NLO only depends on H F (N)LO, i.e. for an NNLO computation it requi”
W+W− production at the LHC: fiducial cross sections and distributions in NNLO QCD (2015, result): “These results have been confirmed through an independent calculation in the framework of Soft–Collinear Effective Theory [105,106].”