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arXiv · 1505.05588

Scheme dependence and Transverse Momentum Distribution interpretation of Collins-Soper-Sterman resummation

Alexei Prokudin·Peng Sun·Feng Yuan
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Abstract

Following an earlier derivation by Catani-de Florian-Grazzini (2000) on the scheme dependence in the Collins-Soper-Sterman (CSS) resummation formalism in hard scattering processes, we investigate the scheme dependence of the Transverse Momentum Distributions (TMDs) and their applications. By adopting a universal $C$-coefficient function associated with the integrated parton distributions, the difference between various TMD schemes can be attributed to a perturbative calculable function depending on the hard momentum scale. We further apply several TMD schemes to the Drell-Yan process of lepton pair production in hadronic collisions, and find that the constrained non-perturbative form factors in different schemes are remarkably consistent with each other and with that of the standard CSS formalism.

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Alexei Prokudin, Peng Sun, Feng Yuan. 2015-05-21. Scheme dependence and Transverse Momentum Distribution interpretation of Collins-Soper-Sterman resummation. https://doi.org/10.1016/j.physletb.2015.09.064

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