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Title: Determining the nonperturbative Collins-Soper kernel from lattice QCD

Abstract

At small transverse momentum qT, transverse-momentum dependent parton distribution functions (TMDPDFs) arise as genuinely nonperturbative objects that describe Drell-Yan like processes in hadron collisions as well as semi-inclusive deep-inelastic scattering. TMDPDFs naturally depend on the hadron momentum, and the associated evolution is determined by the Collins-Soper equation. For qT ~ ΛQCD the corresponding evolution kernel (or anomalous dimension) is nonperturbative and must be determined as an independent ingredient in order to relate TMDPDFs at different scales. We propose a method to extract this kernel using lattice QCD and the large-momentum effective theory, where the physical TMD correlation involving light-like paths is approximated by a quasi-TMDPDF, defined using equal-time correlation functions with a large-momentum hadron state. The kernel is determined from a ratio of quasi-TMDPDFs extracted at different hadron momenta.

Authors:
; ;
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1495070
Alternate Identifier(s):
OSTI ID: 1611572; OSTI ID: 1635395
Grant/Contract Number:  
SC0011090
Resource Type:
Published Article
Journal Name:
Physical Review. D.
Additional Journal Information:
Journal Name: Physical Review. D. Journal Volume: 99 Journal Issue: 3; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Astronomy & Astrophysics; Physics; Lattice QCD; Quantum chromodynamics; Lattice field theory; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; lattice QCD; quantum chromodynamics; lattice field theory

Citation Formats

Ebert, Markus A., Stewart, Iain W., and Zhao, Yong. Determining the nonperturbative Collins-Soper kernel from lattice QCD. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.99.034505.
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Ebert, Markus A., Stewart, Iain W., & Zhao, Yong. Determining the nonperturbative Collins-Soper kernel from lattice QCD. United States. https://doi.org/10.1103/PhysRevD.99.034505
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Ebert, Markus A., Stewart, Iain W., and Zhao, Yong. Tue . "Determining the nonperturbative Collins-Soper kernel from lattice QCD". United States. https://doi.org/10.1103/PhysRevD.99.034505.
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@article{osti_1495070,
title = {Determining the nonperturbative Collins-Soper kernel from lattice QCD},
author = {Ebert, Markus A. and Stewart, Iain W. and Zhao, Yong},
abstractNote = {At small transverse momentum qT, transverse-momentum dependent parton distribution functions (TMDPDFs) arise as genuinely nonperturbative objects that describe Drell-Yan like processes in hadron collisions as well as semi-inclusive deep-inelastic scattering. TMDPDFs naturally depend on the hadron momentum, and the associated evolution is determined by the Collins-Soper equation. For qT ~ ΛQCD the corresponding evolution kernel (or anomalous dimension) is nonperturbative and must be determined as an independent ingredient in order to relate TMDPDFs at different scales. We propose a method to extract this kernel using lattice QCD and the large-momentum effective theory, where the physical TMD correlation involving light-like paths is approximated by a quasi-TMDPDF, defined using equal-time correlation functions with a large-momentum hadron state. The kernel is determined from a ratio of quasi-TMDPDFs extracted at different hadron momenta.},
doi = {10.1103/PhysRevD.99.034505},
journal = {Physical Review. D.},
number = 3,
volume = 99,
place = {United States},
year = {Tue Feb 19 00:00:00 EST 2019},
month = {Tue Feb 19 00:00:00 EST 2019}
}
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Journal Article:
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https://doi.org/10.1103/PhysRevD.99.034505
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Cited by: 66 works
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Figures / Tables:

FIG. 1 FIG. 1: Illustration of the Wilson line structure of (a) the n-collinear beam function Bq and (b) the soft function Sq, defined in Eqs. (13) and (14). The Wilson lines (solid) extend to infinity in the directions indicated and are joined there by transverse Wilson lines. The $\tau$ dependence thatmore » regulates singularities from these Wilson lines is not shown. Adapted from Ref. [37].« less
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Works referenced in this record:

Breakdown of dimensional regularization in the Sudakov problem
journal, November 1992

Transverse momentum in double parton scattering: factorisation, evolution and matching
journal, January 2018

  • Buffing, Maarten G. A.; Diehl, Markus; Kasemets, Tomas
  • Journal of High Energy Physics, Vol. 2018, Issue 1
  • DOI: 10.1007/JHEP01(2018)044

Unified treatment of the QCD evolution of all (un-)polarized transverse momentum dependent functions: Collins function as a study case
journal, July 2014

Factorization of heavy-to-light form factors in soft-collinear effective theory
journal, May 2004

Factorization theorem relating Euclidean and light-cone parton distributions
journal, September 2018

Cancellation of Glauber gluon exchange in the double Drell-Yan process
journal, January 2016

  • Diehl, Markus; Gaunt, Jonathan R.; Ostermeier, Daniel
  • Journal of High Energy Physics, Vol. 2016, Issue 1
  • DOI: 10.1007/JHEP01(2016)076

Scheme dependence and transverse momentum distribution interpretation of Collins–Soper–Sterman resummation
journal, November 2015

Exploring Partonic Structure of Hadrons Using ab initio Lattice QCD Calculations
journal, January 2018

Nonperturbative Renormalization of Nonlocal Quark Bilinears for Parton Quasidistribution Functions on the Lattice Using an Auxiliary Field
journal, July 2018

Parton distributions in light-cone gauge: where are the final-state interactions?
journal, September 2002

Perspectives on Higgs Physics II
book, November 1997

  • Kane, Gordon L.
  • Advanced Series on Directions in High Energy Physics
  • DOI: 10.1142/ASDHEP

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

An effective field theory for collinear and soft gluons: Heavy to light decays
journal, May 2001

Lattice QCD study of the Boer-Mulders effect in a pion
journal, March 2016

Correspondence between Soft and Rapidity Anomalous Dimensions
journal, February 2017

Parton physics from large-momentum effective field theory
journal, May 2014

Perturbative renormalization of quasi-parton distribution functions
journal, September 2017

Analytic regularization in Soft-Collinear Effective Theory
journal, June 2012

Exploring quark transverse momentum distributions with lattice QCD
journal, May 2011

Electroweak gauge-boson production at small q T : Infrared safety from the collinear anomaly
journal, February 2012

  • Becher, Thomas; Neubert, Matthias; Wilhelm, Daniel
  • Journal of High Energy Physics, Vol. 2012, Issue 2
  • DOI: 10.1007/JHEP02(2012)124

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

Soft-collinear factorization and zero-bin subtractions
journal, March 2009

Rapidity Renormalization Group
journal, April 2012

Electroweak Sudakov Corrections using Effective Field Theory
journal, January 2008

Parton Physics on a Euclidean Lattice
journal, June 2013

Extracting parton distribution functions from lattice QCD calculations
journal, October 2018

Final state interactions and gauge invariant parton distributions
journal, April 2003

One-loop matching for parton distributions: Nonsinglet case
journal, July 2014

Renormalizability of quasiparton distribution functions
journal, November 2017

Singular and regular gauges in soft–collinear effective theory: The introduction of the new Wilson line T
journal, January 2011

Soft factor subtraction and transverse momentum dependent parton distributions on the lattice
journal, April 2015

Intrinsic quark transverse momentum in the nucleon from lattice QCD
journal, December 2009

Errata
journal, March 1983

Extraction of partonic transverse momentum distributions from semi-inclusive deep-inelastic scattering, Drell-Yan and Z-boson production
journal, June 2017

  • Bacchetta, Alessandro; Delcarro, Filippo; Pisano, Cristian
  • Journal of High Energy Physics, Vol. 2017, Issue 6
  • DOI: 10.1007/JHEP06(2017)081

Four-Loop Nonplanar Cusp Anomalous Dimension in N = 4 Supersymmetric Yang-Mills Theory
journal, November 2017

Resummation of transverse momentum distributions in distribution space
journal, February 2017

  • Ebert, Markus A.; Tackmann, Frank J.
  • Journal of High Energy Physics, Vol. 2017, Issue 2
  • DOI: 10.1007/JHEP02(2017)110

Factorization and resummation for massive quark effects in exclusive Drell-Yan
journal, August 2017

  • Pietrulewicz, Piotr; Samitz, Daniel; Spiering, Anne
  • Journal of High Energy Physics, Vol. 2017, Issue 8
  • DOI: 10.1007/JHEP08(2017)114

Invariant operators in collinear effective theory
journal, September 2001

Factorization at the LHC: From parton distribution functions to initial state jets
journal, May 2010

Soft and collinear factorization and transverse momentum dependent parton distribution functions
journal, November 2013

Back-to-back jets in QCD
journal, December 1981

Analysis of vector boson production within TMD factorization
journal, January 2018

Summing Sudakov logarithms in B → X s γ in effective field theory
journal, December 2000

Unpolarized transverse momentum dependent parton distribution and fragmentation functions at next-to-next-to-leading order
journal, September 2016

  • Echevarria, Miguel G.; Scimemi, Ignazio; Vladimirov, Alexey
  • Journal of High Energy Physics, Vol. 2016, Issue 9
  • DOI: 10.1007/JHEP09(2016)004

Soft gluons and factorization
journal, October 1988

Power corrections and renormalons in Transverse Momentum Distributions
journal, March 2017

  • Scimemi, Ignazio; Vladimirov, Alexey
  • Journal of High Energy Physics, Vol. 2017, Issue 3
  • DOI: 10.1007/JHEP03(2017)002

Bootstrapping Rapidity Anomalous Dimensions for Transverse-Momentum Resummation
journal, January 2017

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

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

The zero-bin and mode factorization in quantum field theory
journal, October 2007

On the Casimir scaling violation in the cusp anomalous dimension at small angle
journal, October 2017

  • Grozin, Andrey; Henn, Johannes; Stahlhofen, Maximilian
  • Journal of High Energy Physics, Vol. 2017, Issue 10
  • DOI: 10.1007/JHEP10(2017)052

Systematic analysis of double-scale evolution
journal, August 2018

  • Scimemi, Ignazio; Vladimirov, Alexey
  • Journal of High Energy Physics, Vol. 2018, Issue 8
  • DOI: 10.1007/JHEP08(2018)003

Enhanced Nonperturbative Effects through the Collinear Anomaly
journal, May 2014

Drell–Yan production at small q T , transverse parton distributions and the collinear anomaly
journal, June 2011

Nucleon transverse momentum-dependent parton distributions in lattice QCD: Renormalization patterns and discretization effects
journal, November 2017

Foundations of Perturbative QCD
book, May 2011

Factorization for short distance hadron-hadron scattering
journal, January 1985

Back-to-back jets: Fourier transform from b to kT
journal, April 1982

Quasi-parton distribution functions, momentum distributions, and pseudo-parton distribution functions
journal, August 2017

Soft-collinear effective theory, light-cone gauge, and the T -Wilson lines
journal, July 2011

  • García-Echevarría, Miguel; Idilbi, Ahmad; Scimemi, Ignazio
  • Physical Review D, Vol. 84, Issue 1
  • DOI: 10.1103/PhysRevD.84.011502

Matching the quasiparton distribution in a momentum subtraction scheme
journal, March 2018

Quasi parton distributions and the gradient flow
journal, March 2017

  • Monahan, Christopher; Orginos, Kostas
  • Journal of High Energy Physics, Vol. 2017, Issue 3
  • DOI: 10.1007/JHEP03(2017)116

Transverse momentum distribution in Drell-Yan pair and W and Z boson production
journal, January 1985

A formalism for the systematic treatment of rapidity logarithms in Quantum Field Theory
journal, May 2012

  • Chiu, Jui-Yu; Jain, Ambar; Neill, Duff
  • Journal of High Energy Physics, Vol. 2012, Issue 5
  • DOI: 10.1007/JHEP05(2012)084

Connecting different TMD factorization formalisms in QCD
journal, September 2017

Universality of non-leading logarithmic contributions in transverse-momentum distributions
journal, February 2001

Renormalization in Large Momentum Effective Theory of Parton Physics
journal, March 2018

Nucleon helicity and transversity parton distributions from lattice QCD
journal, October 2016

Four-loop non-singlet splitting functions in the planar limit and beyond
journal, October 2017

Rapidity divergences and valid definitions of parton densities
conference, March 2009

  • Collins, John
  • Proceedings of LIGHT CONE 2008 Relativistic Nuclear and Particle Physics — PoS(LC2008)
  • DOI: 10.22323/1.061.0028

Higgs-boson production at small transverse momentum
journal, May 2013

  • Becher, Thomas; Neubert, Matthias; Wilhelm, Daniel
  • Journal of High Energy Physics, Vol. 2013, Issue 5
  • DOI: 10.1007/JHEP05(2013)110

Soft-collinear factorization in effective field theory
journal, February 2002

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