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Scheme dependence and transverse momentum distribution interpretation of collins-soper-sterman resummation. (English) Zbl 1364.81236

Summary: Following an earlier derivation by S. Catani et al. [Nucl. Phys., B 596, No. 1–2, 299–312 (2001; Zbl 0972.81659)] 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 consistent with each other and with that of the standard CSS formalism.

MSC:

81V05 Strong interaction, including quantum chromodynamics

Citations:

Zbl 0972.81659

References:

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