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

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.

10 pages, 2 figures

References in corpus (10)

• Production of Drell--Yan lepton pairs in hadron collisions: transverse-momentum resummation at next-to-next-to-leading logarithmic accuracy
• Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel
• Measurement of the shape of the boson transverse momentum distribution in ppbar -> Z/gamma* -> ee+X events produced at sqrt{s}=1.96 TeV
• What exactly is a parton density?
• Soft Factor Subtraction and Transverse Momentum Dependent Parton Distributions on Lattice
• Higgs boson production at the LHC: transverse-momentum resummation and rapidity dependence
• Transverse-momentum resummation: a perturbative study of Z production at the Tevatron
• Equality of Two Definitions for Transverse Momentum Dependent Parton Distribution Functions
• Transverse momentum cross section of $e^{+}{e}^{-}$ pairs in the $Z$-boson region from $p\bar{p}$ collisions at $\sqrt{s}=1.96$ TeV
• Universal Non-perturbative Functions for SIDIS and Drell-Yan Processes

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