Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel

Collins, John; Rogers, Ted

doi:10.1103/PhysRevD.91.074020

Title: Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel

Journal Article · Wed Apr 01 00:00:00 EDT 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.91.074020· OSTI ID:1178627

Collins, John ^[1]; Rogers, Ted ^[2]

Pennsylvania State Univ., University Park, PA (United States). Davey Lab.
Stony Brook Univ., NY (United States). C.N. Yang Inst. for Theoreticl Physics; Southern Methodist Univ., Dallas, TX (United States); Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

There is considerable controversy about the size and importance of non-perturbative contributions to the evolution of transverse momentum dependent (TMD) parton distribution functions. Standard fits to relatively high-energy Drell-Yan data give evolution that when taken to lower Q is too rapid to be consistent with recent data in semi-inclusive deeply inelastic scattering. Some authors provide very different forms for TMD evolution, even arguing that non-perturbative contributions at large transverse distance bT are not needed or are irrelevant. Here, we systematically analyze the issues, both perturbative and non-perturbative. We make a motivated proposal for the parameterization of the non-perturbative part of the TMD evolution kernel that could give consistency: with the variety of apparently conflicting data, with theoretical perturbative calculations where they are applicable, and with general theoretical non-perturbative constraints on correlation functions at large distances. We propose and use a scheme- and scale-independent function A(bT) that gives a tool to compare and diagnose different proposals for TMD evolution. We also advocate for phenomenological studies of A(bT) as a probe of TMD evolution. The results are important generally for applications of TMD factorization. In particular, they are important to making predictions for proposed polarized Drell- Yan experiments to measure the Sivers function.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

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

Grant/Contract Number:: AC05-06OR23177; SC0008745

OSTI ID:: 1178627

Alternate ID(s):: OSTI ID: 1181493

Report Number(s):: JLAB-THY-15-2001; DOE/OR/23177-3268; arXiv:1412.3820; PRVDAQ; ArticleNumber: 074020, NSF Grant PHY-0969739; NSF Grant PHY-1316617; DOE Grant DE-SC0008745; TRN: US1600841

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 91, Issue 7; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 94 works

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Three Loop Cusp Anomalous Dimension in QCD Grozin, Andrey; Henn, Johannes M.; Korchemsky, Gregory P. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2015-05147	text	January 2015
Calculation of the transverse parton distribution functions at next-to-next-to-leading order Gehrmann, Thomas; Lübbert, Thomas; Yang, Li Lin Springer https://doi.org/10.5167/uzh-107413	text	January 2014
Evolution of the helicity and transversity Transverse-Momentum-Dependent parton distributions Prokudin, Alexei; Bacchetta, Alessandro Proceedings of XXI International Workshop on Deep-Inelastic Scattering and Related Subjects — PoS(DIS 2013) https://doi.org/10.22323/1.191.0225	conference	December 2013
Angular dependences in inclusive two-hadron production at BELLE Boer, Daniel arXiv https://doi.org/10.48550/arxiv.0804.2408	text	January 2008
Observation of the Naive-T-odd Sivers Effect in Deep-Inelastic Scattering Collaboration, The HERMES arXiv https://doi.org/10.48550/arxiv.0906.3918	text	January 2009
Insights on non-perturbative aspects of TMDs from models Avakian, H.; Efremov, A. V.; Schweitzer, P. arXiv https://doi.org/10.48550/arxiv.0910.3181	text	January 2009
Factorization and Resummation of Higgs Boson Differential Distributions in Soft-Collinear Effective Theory Mantry, Sonny; Petriello, Frank arXiv https://doi.org/10.48550/arxiv.0911.4135	text	January 2009
Intrinsic transverse parton momenta in deeply inelastic reactions Schweitzer, P.; Teckentrup, T.; Metz, A. arXiv https://doi.org/10.48550/arxiv.1003.2190	text	January 2010
Effects of transversity in deep-inelastic scattering by polarized protons Collaboration, Hermes; Airapetian, A.; Akopov, N. arXiv https://doi.org/10.48550/arxiv.1006.4221	text	January 2010
Production of Drell--Yan lepton pairs in hadron collisions: transverse-momentum resummation at next-to-next-to-leading logarithmic accuracy Bozzi, G.; Catani, S.; Ferrera, G. arXiv https://doi.org/10.48550/arxiv.1007.2351	text	January 2010
Transverse Momentum Distributions in the Non-Perturbative Region Mantry, Sonny; Petriello, Frank arXiv https://doi.org/10.48550/arxiv.1011.0757	text	January 2010
Exploring quark transverse momentum distributions with lattice QCD Musch, Bernhard U.; Hägler, Philipp; Negele, John W. arXiv https://doi.org/10.48550/arxiv.1011.1213	text	January 2010
QCD predictions for new variables to study dilepton transverse momenta at hadron colliders Banfi, Andrea; Dasgupta, Mrinal; Marzani, Simone arXiv https://doi.org/10.48550/arxiv.1102.3594	text	January 2011
On the Origin of Model Relations among Transverse-Momentum Dependent Parton Distributions Lorce, C.; Pasquini, B. arXiv https://doi.org/10.48550/arxiv.1104.5651	text	January 2011
QCD Resummation for Single Spin Asymmetries Kang, Zhong-Bo; Xiao, Bo-Wen; Yuan, Feng arXiv https://doi.org/10.48550/arxiv.1106.0266	text	January 2011
Bessel-Weighted Asymmetries in Semi Inclusive Deep Inelastic Scattering Boer, Daniel; Gamberg, Leonard; Musch, Bernhard arXiv https://doi.org/10.48550/arxiv.1107.5294	text	January 2011
Factorization Theorem For Drell-Yan At Low q_T And Transverse-Momentum Distributions On-The-Light-Cone Echevarria, Miguel G.; Idilbi, Ahmad; Scimemi, Ignazio arXiv https://doi.org/10.48550/arxiv.1111.4996	text	January 2011
Transverse parton distribution functions at next-to-next-to-leading order: the quark-to-quark case Gehrmann, Thomas; Lübbert, Thomas; Yang, Li Lin arXiv https://doi.org/10.48550/arxiv.1209.0682	text	January 2012
Intrinsic transverse momentum and parton correlations from dynamical chiral symmetry breaking Schweitzer, P.; Strikman, M.; Weiss, C. arXiv https://doi.org/10.48550/arxiv.1210.1267	text	January 2012
Energy Evolution for the Sivers Asymmetries in Hard Processes Sun, Peng; Yuan, Feng arXiv https://doi.org/10.48550/arxiv.1304.5037	text	January 2013
TMDlib and TMDplotter: library and plotting tools for transverse-momentum-dependent parton distributions Hautmann, F.; Jung, H.; Krämer, M. arXiv https://doi.org/10.48550/arxiv.1408.3015	text	January 2014
Resummation of transverse momentum and mass logarithms in DIS heavy-quark production Nadolsky, P. M.; Kidonakis, N.; Olness, F. I. arXiv https://doi.org/10.48550/arxiv.hep-ph/0210082	text	January 2002
Full transverse-momentum spectra of low-mass Drell-Yan pairs at LHC energies Fai, George; Qiu, Jianwei; Zhang, Xiaofei arXiv https://doi.org/10.48550/arxiv.hep-ph/0303021	text	January 2003
QCD Factorization for Semi-Inclusive Deep-Inelastic Scattering at Low Transverse Momentum Ji, Xiangdong; Ma, Jian-ping; Yuan, Feng arXiv https://doi.org/10.48550/arxiv.hep-ph/0404183	text	January 2004
Theory of W and Z boson production Nadolsky, Pavel M. arXiv https://doi.org/10.48550/arxiv.hep-ph/0412146	text	January 2004
Universality of the Collins-Soper-Sterman nonperturbative function in gauge boson production Konychev, Anton V.; Nadolsky, Pavel M. arXiv https://doi.org/10.48550/arxiv.hep-ph/0506225	text	January 2005
The Quark Form Factor at Higher Orders Moch, S.; Vermaseren, J. A. M.; Vogt, A. arXiv https://doi.org/10.48550/arxiv.hep-ph/0507039	text	January 2005
Nonperturbative Corrections in Resummed Cross Sections Korchemsky, G. P.; Sterman, G. arXiv https://doi.org/10.48550/arxiv.hep-ph/9411211	text	January 1994
Effects of QCD Resummation on Distributions of Leptons from the Decay of Electroweak Vector Bosons Balazs, Csaba; Qiu, Jianwei; Yuan, C. --P. arXiv https://doi.org/10.48550/arxiv.hep-ph/9505203	text	January 1995
Soft gluon effects on lepton pairs at hadron colliders Balazs, C.; Yuan, C. -P. arXiv https://doi.org/10.48550/arxiv.hep-ph/9704258	text	January 1997

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Where do we stand with a 3-D picture of the proton? Bacchetta, Alessandro The European Physical Journal A, Vol. 52, Issue 6 https://doi.org/10.1140/epja/i2016-16163-5	journal	June 2016
Studies of gluon TMDs and their evolution using quarkonium-pair production at the LHC Scarpa, Florent; Boer, Daniël; Echevarria, Miguel G. The European Physical Journal C, Vol. 80, Issue 2 https://doi.org/10.1140/epjc/s10052-020-7619-1	journal	February 2020
Relating Transverse Momentum Dependent and Collinear Factorization Theorems in a Generalized Formalism Collins, J.; Gamberg, L.; Prokudin, A. arXiv https://doi.org/10.48550/arxiv.1605.00671	text	January 2016
Predicting the light-front holographic TMDs of the pion Ahmady, Mohammad; Mondal, Chandan; Sandapen, Ruben arXiv https://doi.org/10.48550/arxiv.1907.06561	text	January 2019
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