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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 (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
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. https://doi.org/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. https://doi.org/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. https://doi.org/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}
}

Journal Article:

Citation Metrics:
Cited by: 34 works
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Works referenced in this record:

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journal, April 2003


Energy evolution for the Sivers asymmetries in hard processes
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Sivers effect in semiinclusive deeply inelastic scattering
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journal, April 2003


Role of the nonperturbative input in QCD resummed Drell-Yan Q T distributions
journal, April 2001


Energy evolution for the Sivers asymmetries in hard processes
journal, August 2013


Leading-twist single-transverse-spin asymmetries: Drell–Yan and deep-inelastic scattering
journal, May 2002


Single-spin production asymmetries from the hard scattering of pointlike constituents
journal, January 1990


Hard-scattering scaling laws for single-spin production asymmetries
journal, January 1991


Observation of the Naive- T -Odd Sivers Effect in Deep-Inelastic Scattering
journal, October 2009


Measurement of Azimuthal Asymmetries in Inclusive Production of Hadron Pairs in e + e Annihilation at Belle
journal, June 2006


Measurement of azimuthal asymmetries in inclusive production of hadron pairs in e + e annihilation at s = 10.58 GeV
journal, August 2008


Measurement of Collins asymmetries in inclusive production of charged pion pairs in e + e annihilation at BABAR
journal, September 2014


Factorization theorem for Drell-Yan at low q T and transverse-momentum distributions on-the-light-cone
journal, July 2012

  • Echevarría, Miguel G.; Idilbi, Ahmad; Scimemi, Ignazio
  • Journal of High Energy Physics, Vol. 2012, Issue 7
  • DOI: 10.1007/JHEP07(2012)002

Calculation of Transverse-Momentum-Dependent Evolution for Sivers Transverse Single Spin Asymmetry Measurements
journal, June 2012


Limits on transverse momentum dependent evolution from semi-inclusive deep inelastic scattering at moderate Q
journal, May 2014


QCD factorization for semi-inclusive deep-inelastic scattering at low transverse momentum
journal, February 2005


Factorization and resummation of Higgs boson differential distributions in soft-collinear effective theory
journal, May 2010


Transverse momentum distributions in the nonperturbative region
journal, July 2011


INSIGHTS ON NON-PERTURBATIVE ASPECTS OF TMDs FROM MODELS
journal, December 2009


Model calculations of the Sivers function satisfying the Burkardt sum rule
journal, April 2009


Origin of model relations among transverse-momentum dependent parton distributions
journal, August 2011


Parton orbital angular momentum and final state interactions
journal, July 2013


QCD evolution of the Sivers asymmetry
journal, April 2014


Nonperturbative contributions to a resummed leptonic angular distribution in inclusive neutral vector boson production
journal, July 2014


Transverse momentum resummation effects in W + W measurements
journal, December 2014


Sivers and Boer-Mulders observables from lattice QCD
journal, May 2012


Joint resummation in electroweak boson production
journal, July 2002


Nonperturbative corrections in resummed cross sections
journal, March 1995


Intrinsic transverse momentum and parton correlations from dynamical chiral symmetry breaking
journal, January 2013

  • Schweitzer, P.; Strikman, M.; Weiss, C.
  • Journal of High Energy Physics, Vol. 2013, Issue 1
  • DOI: 10.1007/JHEP01(2013)163

Resummation of transverse momentum and mass logarithms in DIS heavy-quark production
journal, April 2003


Semi-inclusive deeply inelastic scattering at small q T
journal, August 1996

  • Meng, Ruibin; Olness, Fredrick I.; Soper, Davison E.
  • Physical Review D, Vol. 54, Issue 3
  • DOI: 10.1103/PhysRevD.54.1919

Semi-inclusive hadron production at DESY HERA: The effect of QCD gluon resummation
journal, November 1999


Angular distribution of dileptons in high-energy hadron collisions
journal, October 1977


Systematic approach to inclusive lepton pair production in hadronic collisions
journal, October 1978


Angular decay distribution of leptons from W-bosons at NLO in hadronic collisions
journal, November 1992


Soft gluon effects on lepton pairs at hadron colliders
journal, November 1997


Dilepton production from polarized hadron hadron collisions
journal, February 2009


Sudakov suppression in azimuthal spin asymmetries
journal, June 2001


QCD evolution of the Sivers function
journal, February 2012


Transverse Parton Distribution Functions at Next-to-Next-to-Leading Order: The Quark-to-Quark Case
journal, December 2012


Calculation of the transverse parton distribution functions at next-to-next-to-leading order
journal, June 2014

  • Gehrmann, Thomas; Lübbert, Thomas; Yang, Li Lin
  • Journal of High Energy Physics, Vol. 2014, Issue 6
  • DOI: 10.1007/JHEP06(2014)155

Three Loop Cusp Anomalous Dimension in QCD
journal, February 2015


QCD Resummation for Single Spin Asymmetries
journal, October 2011


Power corrections in hadronic scattering (I). Leading 1/Q2 corrections to the Drell-Yan cross section
journal, April 1991


Power corrections in hadronic scattering (II). Factorization
journal, April 1991


Single spin asymmetry for p↑p → πX in perturbative QCD
journal, November 1995


Accessing Sivers gluon distribution via transverse single spin asymmetries in p p D X processes at BNL RHIC
journal, October 2004


Extracting the Sivers function from polarized semi-inclusive deep inelastic scattering data and making predictions
journal, November 2005


Sivers effect in semiinclusive deeply inelastic scattering
journal, January 2006


Sivers effect in the Drell-Yan process at BNL RHIC
journal, May 2006


Sivers effect in Drell-Yan processes
journal, March 2009


Intrinsic transverse parton momenta in deeply inelastic reactions
journal, May 2010


Sivers effect and the single spin asymmetry A N in p p h X processes
journal, September 2013


Global parton distributions with nuclear and finite- Q 2 corrections
journal, May 2013


QCD Prediction for Heavy Boson Transverse Momentum Distributions
journal, March 2001


Resummation of large logarithms in e+e− event shape distributions
journal, October 1993


Non-leading corrections to the Drell-Yan cross section at small transverse momentum
journal, October 1984


Equality of two definitions for transverse momentum dependent parton distribution functions
journal, February 2013


Aspects of tmd Evolution of Azimuthal Asymmetries
journal, January 2014


Strategy towards the extraction of the Sivers function with transverse momentum dependent evolution
journal, July 2012


Bessel-weighted asymmetries in semi-inclusive deep inelastic scattering
journal, October 2011

  • Boer, D.; Gamberg, L.; Musch, B. U.
  • Journal of High Energy Physics, Vol. 2011, Issue 10
  • DOI: 10.1007/JHEP10(2011)021

Non-perturbative QCD effects in q T spectra of Drell-Yan and Z-boson production
journal, November 2014

  • D’Alesio, Umberto; Echevarria, Miguel G.; Melis, Stefano
  • Journal of High Energy Physics, Vol. 2014, Issue 11
  • DOI: 10.1007/JHEP11(2014)098

Transverse Parton Distribution Functions at Next-to-Next-to-Leading Order: The Quark-to-Quark Case
text, January 2012

  • Gehrmann, Thomas; Lübbert, Thomas; Yang, Li
  • American Physical Society
  • DOI: 10.5167/uzh-69900

Vector-boson production at hadron colliders: hard-collinear coefficients at the NNLO
text, January 2012


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    Connecting different TMD factorization formalisms in QCD
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    Beyond-Standard-Model Tensor Interaction and Hadron Phenomenology
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    Accessing the gluon Sivers function at a future electron-ion collider
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    Relating transverse-momentum-dependent and collinear factorization theorems in a generalized formalism
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    Extraction of quark transversity distribution and Collins fragmentation functions with QCD evolution
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    Where do we stand with a 3-D picture of the proton?
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    Studies of gluon TMDs and their evolution using quarkonium-pair production at the LHC
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