Scheme dependence and transverse momentum distribution interpretation of Collins–Soper–Sterman resummation

Prokudin, Alexei; Sun, Peng; Yuan, Feng

doi:10.1016/j.physletb.2015.09.064

Title: Scheme dependence and transverse momentum distribution interpretation of Collins–Soper–Sterman resummation

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Abstract

Following an earlier derivation by Catani, de Florian and 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 consistent with each other and with that of the standard CSS formalism.

Authors:

; Sun, Peng; Yuan, Feng

Publication Date:: Sun Nov 01 00:00:00 EDT 2015

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1244145

Alternate Identifier(s):: OSTI ID: 1222203; OSTI ID: 1439978

Report Number(s):: JLAB-THY-15-2047; DOE/OR/23177-3347; arXiv:1505.05588
Journal ID: ISSN 0370-2693; S037026931500739X; PII: S037026931500739X

Grant/Contract Number:: AC02-05CH11231; AC05-06OR23177

Resource Type:: Published Article

Journal Name:: Physics Letters B

Additional Journal Information:: Journal Name: Physics Letters B Journal Volume: 750 Journal Issue: C; Journal ID: ISSN 0370-2693

Publisher:: Elsevier

Country of Publication:: Netherlands

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; quantum chromo dynamics; resummation; CSS formalism; TMD factorization; semi-inclusive deep inelastic scattering; Drell–Yan process

Citation Formats


                    Prokudin, Alexei, Sun, Peng, and Yuan, Feng. Scheme dependence and transverse momentum distribution interpretation of Collins–Soper–Sterman resummation.  Netherlands: N. p., 2015. 
Web.  doi:10.1016/j.physletb.2015.09.064.

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                    Prokudin, Alexei, Sun, Peng, & Yuan, Feng. Scheme dependence and transverse momentum distribution interpretation of Collins–Soper–Sterman resummation.  Netherlands.  https://doi.org/10.1016/j.physletb.2015.09.064

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                    Prokudin, Alexei, Sun, Peng, and Yuan, Feng. Sun .  
"Scheme dependence and transverse momentum distribution interpretation of Collins–Soper–Sterman resummation".  Netherlands.  https://doi.org/10.1016/j.physletb.2015.09.064.

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@article{osti_1244145,

  title        = {Scheme dependence and transverse momentum distribution interpretation of Collins–Soper–Sterman resummation},

  author       = {Prokudin, Alexei and Sun, Peng and Yuan, Feng},

  abstractNote = {Following an earlier derivation by Catani, de Florian and 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 consistent with each other and with that of the standard CSS formalism.},

  doi          = {10.1016/j.physletb.2015.09.064},

  journal      = {Physics Letters B},

  number       = C,

  volume       = 750,

  place        = {Netherlands},

  year         = {Sun Nov 01 00:00:00 EDT 2015},

  month        = {Sun Nov 01 00:00:00 EDT 2015}

}

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