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

Abstract

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 Siversmore » function.« less

Authors:
 [1];  [2]
  1. Pennsylvania State Univ., University Park, PA (United States). Davey Lab.
  2. 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)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1178627
Alternate Identifier(s):
OSTI ID: 1181493
Report Number(s):
JLAB-THY-15-2001; DOE/OR/23177-3268; arXiv:1412.3820
Journal ID: ISSN 1550-7998; PRVDAQ; ArticleNumber: 074020, NSF Grant PHY-0969739; NSF Grant PHY-1316617; DOE Grant DE-SC0008745; TRN: US1600841
Grant/Contract Number:  
AC05-06OR23177; SC0008745
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 91; Journal Issue: 7; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Collins, John, and Rogers, Ted. Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel. United States: N. p., 2015. Web. doi:10.1103/PhysRevD.91.074020.
Collins, John, & Rogers, Ted. Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel. United States. doi:10.1103/PhysRevD.91.074020.
Collins, John, and Rogers, Ted. Wed . "Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel". United States. doi:10.1103/PhysRevD.91.074020. https://www.osti.gov/servlets/purl/1178627.
@article{osti_1178627,
title = {Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel},
author = {Collins, John and Rogers, Ted},
abstractNote = {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.},
doi = {10.1103/PhysRevD.91.074020},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 7,
volume = 91,
place = {United States},
year = {2015},
month = {4}
}

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