Towards quasi-transverse momentum dependent PDFs computable on the lattice
Abstract
Transverse momentum dependent parton distributions (TMDPDFs) which appear in factorized cross sections involve infinite Wilson lines with edges on or close to the light-cone. Since these TMDPDFs are not directly calculable with a Euclidean path integral in lattice QCD, we study the construction of quasi-TMDPDFs with finite-length spacelike Wilson lines that are amenable to such calculations. We define an infrared consistency test to determine which quasi-TMDPDF definitions are related to the TMDPDF, by carrying out a one-loop study of infrared logarithms of transverse position bT~ΛQCD-1, which must agree between them. This agreement is a necessary condition for the two quantities to be related by perturbative matching. TMDPDFs necessarily involve combining a hadron matrix element, which nominally depends on a single light-cone direction, with soft matrix elements that necessarily depend on two light-cone directions. We show at one loop that the simplest definitions of the quasi hadron matrix element, the quasi soft matrix element, and the resulting quasi-TMDPDF all fail the infrared consistency test. Ratios of impact parameter quasi-TMDPDFs still provide nontrivial information about the TMD-PDFs, and are more robust since the soft matrix elements cancel. We show at one loop that such quasi ratios can be matched to ratios ofmore »
- Authors:
-
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- 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:
- 1611568
- Grant/Contract Number:
- SC0011090
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 9; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; physics; lattice field theory simulation; QCD phenomenology
Citation Formats
Ebert, Markus A., Stewart, Iain W., and Zhao, Yong. Towards quasi-transverse momentum dependent PDFs computable on the lattice. United States: N. p., 2019.
Web. doi:10.1007/jhep09(2019)037.
Ebert, Markus A., Stewart, Iain W., & Zhao, Yong. Towards quasi-transverse momentum dependent PDFs computable on the lattice. United States. https://doi.org/10.1007/jhep09(2019)037
Ebert, Markus A., Stewart, Iain W., and Zhao, Yong. Thu .
"Towards quasi-transverse momentum dependent PDFs computable on the lattice". United States. https://doi.org/10.1007/jhep09(2019)037. https://www.osti.gov/servlets/purl/1611568.
@article{osti_1611568,
title = {Towards quasi-transverse momentum dependent PDFs computable on the lattice},
author = {Ebert, Markus A. and Stewart, Iain W. and Zhao, Yong},
abstractNote = {Transverse momentum dependent parton distributions (TMDPDFs) which appear in factorized cross sections involve infinite Wilson lines with edges on or close to the light-cone. Since these TMDPDFs are not directly calculable with a Euclidean path integral in lattice QCD, we study the construction of quasi-TMDPDFs with finite-length spacelike Wilson lines that are amenable to such calculations. We define an infrared consistency test to determine which quasi-TMDPDF definitions are related to the TMDPDF, by carrying out a one-loop study of infrared logarithms of transverse position bT~ΛQCD-1, which must agree between them. This agreement is a necessary condition for the two quantities to be related by perturbative matching. TMDPDFs necessarily involve combining a hadron matrix element, which nominally depends on a single light-cone direction, with soft matrix elements that necessarily depend on two light-cone directions. We show at one loop that the simplest definitions of the quasi hadron matrix element, the quasi soft matrix element, and the resulting quasi-TMDPDF all fail the infrared consistency test. Ratios of impact parameter quasi-TMDPDFs still provide nontrivial information about the TMD-PDFs, and are more robust since the soft matrix elements cancel. We show at one loop that such quasi ratios can be matched to ratios of the corresponding TMDPDFs. We also introduce a modified “bent” quasi soft matrix element which yields a quasi-TMDPDF that passes the consistency test with the TMDPDF at one loop, and discuss potential issues at higher orders.},
doi = {10.1007/jhep09(2019)037},
journal = {Journal of High Energy Physics (Online)},
number = 9,
volume = 2019,
place = {United States},
year = {Thu Sep 05 00:00:00 EDT 2019},
month = {Thu Sep 05 00:00:00 EDT 2019}
}
Web of Science
Works referenced in this record:
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
Factorization of heavy-to-light form factors in soft-collinear effective theory
journal, May 2004
- Beneke, M.; Feldmann, Th.
- Nuclear Physics B, Vol. 685, Issue 1-3
Factorization theorem relating Euclidean and light-cone parton distributions
journal, September 2018
- Izubuchi, Taku; Ji, Xiangdong; Jin, Luchang
- Physical Review D, Vol. 98, Issue 5
On the power divergence in quasi gluon distribution function
journal, May 2018
- Wang, Wei; Zhao, Shuai
- Journal of High Energy Physics, Vol. 2018, Issue 5
QCD factorization for semi-inclusive deep-inelastic scattering at low transverse momentum
journal, February 2005
- Ji, Xiangdong; Ma, Jian-Ping; Yuan, Feng
- Physical Review D, Vol. 71, Issue 3
Electron Ion Collider: The Next QCD Frontier
text, January 2016
- Accardi, A.; Albacete, J. L.; Anselmino, M.
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Lattice QCD study of the Boer-Mulders effect in a pion
journal, March 2016
- Engelhardt, M.; Hägler, P.; Musch, B.
- Physical Review D, Vol. 93, Issue 5
Perturbative renormalization of quasi-parton distribution functions
journal, September 2017
- Constantinou, Martha; Panagopoulos, Haralambos
- Physical Review D, Vol. 96, Issue 5
Analytic regularization in Soft-Collinear Effective Theory
journal, June 2012
- Becher, Thomas; Bell, Guido
- Physics Letters B, Vol. 713, Issue 1
Exploring quark transverse momentum distributions with lattice QCD
journal, May 2011
- Musch, B. U.; Hägler, Ph.; Negele, J. W.
- Physical Review D, Vol. 83, Issue 9
New fits for the non-perturbative parameters in the CSS resummation formalism
journal, December 2000
- Landry, F.; Brock, R.; Ladinsky, G.
- Physical Review D, Vol. 63, Issue 1
Higher-twist corrections to gluon TMD factorization
journal, July 2017
- Balitsky, I.; Tarasov, A.
- Journal of High Energy Physics, Vol. 2017, Issue 7
Analysis of vector boson production within TMD factorization
text, January 2018
- Scimemi, Ignazio; Vladimirov, Alexey
- Universität Regensburg
One-loop matching for parton distributions: Nonsinglet case
journal, July 2014
- Xiong, Xiaonu; Ji, Xiangdong; Zhang, Jian-Hui
- Physical Review D, Vol. 90, Issue 1
Renormalizability of quasiparton distribution functions
journal, November 2017
- Ishikawa, Tomomi; Ma, Yan-Qing; Qiu, Jian-Wei
- Physical Review D, Vol. 96, Issue 9
Gluon Quasi-Parton-Distribution Functions from Lattice QCD
journal, December 2018
- Fan, Zhou-You; Yang, Yi-Bo; Anthony, Adam
- Physical Review Letters, Vol. 121, Issue 24
Power corrections and renormalons in Transverse Momentum Distributions
text, January 2017
- Scimemi, Ignazio; Vladimirov, Alexey
- Universität Regensburg
Light-Cone Parton Distribution Functions from Lattice QCD
journal, September 2018
- Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
- Physical Review Letters, Vol. 121, Issue 11
Proton Isovector Helicity Distribution on the Lattice at Physical Pion Mass
journal, December 2018
- Lin, Huey-Wen; Chen, Jiunn-Wei; Ji, Xiangdong
- Physical Review Letters, Vol. 121, Issue 24
Pion distribution amplitude from lattice QCD
journal, May 2017
- Zhang, Jian-Hui; Chen, Jiunn-Wei; Ji, Xiangdong
- Physical Review D, Vol. 95, Issue 9
Singular and regular gauges in soft–collinear effective theory: The introduction of the new Wilson line T
journal, January 2011
- Idilbi, Ahmad; Scimemi, Ignazio
- Physics Letters B, Vol. 695, Issue 5
Power corrections to TMD factorization for Z-boson production
journal, May 2018
- Balitsky, I.; Tarasov, A.
- Journal of High Energy Physics, Vol. 2018, Issue 5
Soft factor subtraction and transverse momentum dependent parton distributions on the lattice
journal, April 2015
- Ji, Xiangdong; Sun, Peng; Xiong, Xiaonu
- Physical Review D, Vol. 91, Issue 7
Determining the nonperturbative Collins-Soper kernel from lattice QCD
journal, February 2019
- Ebert, Markus A.; Stewart, Iain W.; Zhao, Yong
- Physical Review D, Vol. 99, Issue 3
Multiplicative Renormalizability of Operators defining Quasiparton Distributions
journal, February 2019
- Li, Zheng-Yang; Ma, Yan-Qing; Qiu, Jian-Wei
- Physical Review Letters, Vol. 122, Issue 6
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
Invariant operators in collinear effective theory
journal, September 2001
- Bauer, Christian W.; Stewart, Iain W.
- Physics Letters B, Vol. 516, Issue 1-2
Soft and collinear factorization and transverse momentum dependent parton distribution functions
journal, November 2013
- Echevarría, Miguel G.; Idilbi, Ahmad; Scimemi, Ignazio
- Physics Letters B, Vol. 726, Issue 4-5
Back-to-back jets in QCD
journal, December 1981
- Collins, John C.; Soper, Davison E.
- Nuclear Physics B, Vol. 193, Issue 2
Analysis of vector boson production within TMD factorization
journal, January 2018
- Scimemi, Ignazio; Vladimirov, Alexey
- The European Physical Journal C, Vol. 78, Issue 2
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
Soft gluons and factorization
journal, October 1988
- Collins, John C.; Soper, Davison E.; Sterman, George
- Nuclear Physics B, Vol. 308, Issue 4
Improved quasi parton distribution through Wilson line renormalization
journal, February 2017
- Chen, Jiunn-Wei; Ji, Xiangdong; Zhang, Jian-Hui
- Nuclear Physics B, Vol. 915
Power corrections and renormalons in Transverse Momentum Distributions
journal, March 2017
- Scimemi, Ignazio; Vladimirov, Alexey
- Journal of High Energy Physics, Vol. 2017, Issue 3
The structure of large logarithmic corrections at small transverse momentum in hadronic collisions
journal, November 2001
- de Florian, Daniel; Grazzini, Massimiliano
- Nuclear Physics B, Vol. 616, Issue 1-2
Bootstrapping Rapidity Anomalous Dimensions for Transverse-Momentum Resummation
journal, January 2017
- Li, Ye; Zhu, Hua Xing
- Physical Review Letters, Vol. 118, Issue 2
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
Sivers and Boer-Mulders observables from lattice QCD
journal, May 2012
- Musch, B. U.; Hägler, Ph.; Engelhardt, M.
- Physical Review D, Vol. 85, Issue 9
Lattice corrections to the quark quasidistribution at one loop
journal, May 2017
- Carlson, Carl E.; Freid, Michael
- Physical Review D, Vol. 95, Issue 9
First direct lattice-QCD calculation of the -dependence of the pion parton distribution function
journal, August 2019
- Zhang, Jian-Hui; Chen, Jiunn-Wei; Jin, Luchang
- Physical Review D, Vol. 100, Issue 3
Nucleon transverse momentum-dependent parton distributions in lattice QCD: Renormalization patterns and discretization effects
journal, November 2017
- Yoon, Boram; Engelhardt, Michael; Gupta, Rajan
- Physical Review D, Vol. 96, Issue 9
Factorization for short distance hadron-hadron scattering
journal, January 1985
- Collins, John C.; Soper, Davison E.; Sterman, George
- Nuclear Physics B, Vol. 261
Transverse momentum dependent parton distribution and fragmentation functions with QCD evolution
journal, June 2011
- Aybat, S. Mert; Rogers, Ted C.
- Physical Review D, Vol. 83, Issue 11
Accessing Gluon Parton Distributions in Large Momentum Effective Theory
journal, April 2019
- Zhang, Jian-Hui; Ji, Xiangdong; Schäfer, Andreas
- Physical Review Letters, Vol. 122, Issue 14
Parton distribution function with nonperturbative renormalization from lattice QCD
journal, January 2018
- Chen, Jiunn-Wei; Ishikawa, Tomomi; Jin, Luchang
- Physical Review D, Vol. 97, Issue 1
Back-to-back jets: Fourier transform from b to kT
journal, April 1982
- Collins, John C.; Soper, Davison E.
- Nuclear Physics B, Vol. 197, Issue 3
A complete non-perturbative renormalization prescription for quasi-PDFs
journal, October 2017
- Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
- Nuclear Physics B, Vol. 923
One-loop matching for generalized parton distributions
journal, July 2015
- Ji, Xiangdong; Schäfer, Andreas; Xiong, Xiaonu
- Physical Review D, Vol. 92, Issue 1
Light-cone distribution amplitudes of vector meson in a large momentum effective theory
journal, June 2018
- Xu, Ji; Zhang, Qi-An; Zhao, Shuai
- Physical Review D, Vol. 97, Issue 11
Transverse momentum distribution in Drell-Yan pair and W and Z boson production
journal, January 1985
- Collins, J. C.; Soper, Davison E.; Sterman, George
- Nuclear Physics B, Vol. 250, Issue 1-4
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
Connecting different TMD factorization formalisms in QCD
journal, September 2017
- Collins, John; Rogers, Ted C.
- Physical Review D, Vol. 96, Issue 5
Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all
journal, September 2016
- Accardi, A.; Albacete, J. L.; Anselmino, M.
- The European Physical Journal A, Vol. 52, Issue 9
Vector-boson production at hadron colliders: hard-collinear coefficients at the NNLO
journal, November 2012
- Catani, Stefano; Cieri, Leandro; de Florian, Daniel
- The European Physical Journal C, Vol. 72, Issue 11
Renormalization in Large Momentum Effective Theory of Parton Physics
journal, March 2018
- Ji, Xiangdong; Zhang, Jian-Hui; Zhao, Yong
- Physical Review Letters, Vol. 120, Issue 11
Nucleon helicity and transversity parton distributions from lattice QCD
journal, October 2016
- Chen, Jiunn-Wei; Cohen, Saul D.; Ji, Xiangdong
- Nuclear Physics B, Vol. 911
Flavor structure of the nucleon sea from lattice QCD
journal, March 2015
- Lin, Huey-Wen; Chen, Jiunn-Wei; Cohen, Saul D.
- Physical Review D, Vol. 91, Issue 5
Matches and mismatches in the descriptions of semi-inclusive processes at low and high transverse momentum
journal, August 2008
- Bacchetta, Alessandro; Boer, Daniël; Diehl, Markus
- Journal of High Energy Physics, Vol. 2008, Issue 08
Power corrections and renormalons in parton quasidistributions
journal, January 2019
- Braun, Vladimir M.; Vladimirov, Alexey; Zhang, Jian-Hui
- Physical Review D, Vol. 99, Issue 1
Target mass effects in parton quasi-distributions
journal, July 2017
- Radyushkin, A. V.
- Physics Letters B, Vol. 770
Parton distribution and decay functions
journal, January 1982
- Collins, John C.; Soper, Davison E.
- Nuclear Physics B, Vol. 194, Issue 3
Rapidity renormalized TMD soft and beam functions at two loops
journal, March 2016
- Lübbert, Thomas; Oredsson, Joel; Stahlhofen, Maximilian
- Journal of High Energy Physics, Vol. 2016, Issue 3
Breakdown of dimensional regularization in the Sudakov problem
journal, November 1992
- Collins, J. C.; Tkachov, F. V.
- Physics Letters B, Vol. 294, Issue 3-4
Structure of rapidity divergences in multi-parton scattering soft factors
journal, April 2018
- Vladimirov, Alexey
- Journal of High Energy Physics, Vol. 2018, Issue 4
Universality of the Collins–Soper–Sterman nonperturbative function in vector boson production
journal, February 2006
- Konychev, Anton V.; Nadolsky, Pavel M.
- Physics Letters B, Vol. 633, Issue 6
Euclidean versus Minkowski short distance
journal, September 2018
- Rossi, G. C.; Testa, M.
- Physical Review D, Vol. 98, Issue 5
Erratum to: Higgs boson production at hadron colliders: hard-collinear coefficients at the NNLO
journal, August 2012
- Catani, Stefano; Grazzini, Massimiliano
- The European Physical Journal C, Vol. 72, Issue 8
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
Exploring Partonic Structure of Hadrons Using ab initio Lattice QCD Calculations
journal, January 2018
- Ma, Yan-Qing; Qiu, Jian-Wei
- Physical Review Letters, Vol. 120, Issue 2
Nondipolar Wilson links for quasiparton distribution functions
journal, October 2016
- Li, Hsiang-nan
- Physical Review D, Vol. 94, Issue 7
Nonperturbative Renormalization of Nonlocal Quark Bilinears for Parton Quasidistribution Functions on the Lattice Using an Auxiliary Field
journal, July 2018
- Green, Jeremy; Jansen, Karl; Steffens, Fernanda
- Physical Review Letters, Vol. 121, Issue 2
Parton distributions in light-cone gauge: where are the final-state interactions?
journal, September 2002
- Ji, Xiangdong; Yuan, Feng
- Physics Letters B, Vol. 543, Issue 1-2
Kaon distribution amplitude from lattice QCD and the flavor SU(3) symmetry
journal, February 2019
- Zhang, Rui; Chen, Jiunn-Wei; Jin, Luchang
- Nuclear Physics B, Vol. 939
An effective field theory for collinear and soft gluons: Heavy to light decays
journal, May 2001
- Bauer, Christian W.; Fleming, Sean; Pirjol, Dan
- Physical Review D, Vol. 63, Issue 11
Correspondence between Soft and Rapidity Anomalous Dimensions
journal, February 2017
- Vladimirov, Alexey A.
- Physical Review Letters, Vol. 118, Issue 6
Gluon quasidistribution function at one loop
journal, February 2018
- Wang, Wei; Zhao, Shuai; Zhu, Ruilin
- The European Physical Journal C, Vol. 78, Issue 2
Parton physics from large-momentum effective field theory
journal, May 2014
- Ji, XiangDong
- Science China Physics, Mechanics & Astronomy, Vol. 57, Issue 7
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
Renormalization of quasiparton distribution
journal, August 2015
- Ji, Xiangdong; Zhang, Jian-Hui
- Physical Review D, Vol. 92, Issue 3
Soft-collinear factorization and zero-bin subtractions
journal, March 2009
- Chiu, Jui-yu; Fuhrer, Andreas; Hoang, André H.
- Physical Review D, Vol. 79, Issue 5
One-loop matching for transversity generalized parton distribution
journal, September 2015
- Xiong, Xiaonu; Zhang, Jian-Hui
- Physical Review D, Vol. 92, Issue 5
Rapidity Renormalization Group
journal, April 2012
- Chiu, Jui-yu; Jain, Ambar; Neill, Duff
- Physical Review Letters, Vol. 108, Issue 15
Transverse momentum dependent parton quasidistributions
journal, June 2019
- Ji, Xiangdong; Jin, Lu-Chang; Yuan, Feng
- Physical Review D, Vol. 99, Issue 11
Electroweak Sudakov Corrections using Effective Field Theory
journal, January 2008
- Chiu, Jui-yu; Golf, Frank; Kelley, Randall
- Physical Review Letters, Vol. 100, Issue 2
Parton Physics on a Euclidean Lattice
journal, June 2013
- Ji, Xiangdong
- Physical Review Letters, Vol. 110, Issue 26
Extracting parton distribution functions from lattice QCD calculations
journal, October 2018
- Ma, Yan-Qing; Qiu, Jian-Wei
- Physical Review D, Vol. 98, Issue 7
Matching the meson quasidistribution amplitude in the RI/MOM scheme
journal, May 2019
- Liu, Yu-Sheng; Wang, Wei; Xu, Ji
- Physical Review D, Vol. 99, Issue 9
Final state interactions and gauge invariant parton distributions
journal, April 2003
- Belitsky, A. V.; Ji, X.; Yuan, F.
- Nuclear Physics B, Vol. 656, Issue 1-2
Gluon helicity from a universality class of operators on a lattice
journal, April 2014
- Hatta, Yoshitaka; Ji, Xiangdong; Zhao, Yong
- Physical Review D, Vol. 89, Issue 8
QCD transverse-momentum resummation in gluon fusion processes
journal, April 2011
- Catani, Stefano; Grazzini, Massimiliano
- Nuclear Physics B, Vol. 845, Issue 3
Partons and Their Transverse Momenta in Quantum Chromodynamics
journal, December 1979
- Soper, Davison E.
- Physical Review Letters, Vol. 43, Issue 25
Systematic analysis of double-scale evolution
text, January 2018
- Scimemi, Ignazio; Vladimirov, Alexey
- Universität Regensburg
Transversity parton distribution functions from lattice QCD
journal, November 2018
- Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
- Physical Review D, Vol. 98, Issue 9
Higgs-boson production at small transverse momentum
text, January 2013
- Becher, Thomas; Neubert, Matthias; Wilhelm, Daniel
- Springer
Lattice calculation of parton distributions
journal, July 2015
- Alexandrou, Constantia; Cichy, Krzysztof; Drach, Vincent
- Physical Review D, Vol. 92, Issue 1
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
Factorization at the LHC: From parton distribution functions to initial state jets
journal, May 2010
- Stewart, Iain W.; Tackmann, Frank J.; Waalewijn, Wouter J.
- Physical Review D, Vol. 81, Issue 9
Gaussian-weighted parton quasi-distribution (Lattice Parton Physics Project (LP3))
journal, April 2019
- Ishikawa, Tomomi; Jin, LuChang; Lin, Huey-Wen
- Science China Physics, Mechanics & Astronomy, Vol. 62, Issue 9
Universal transverse momentum dependent soft function at NNLO
journal, March 2016
- Echevarria, Miguel G.; Scimemi, Ignazio; Vladimirov, Alexey
- Physical Review D, Vol. 93, Issue 5
Summing Sudakov logarithms in in effective field theory
journal, December 2000
- Bauer, Christian W.; Fleming, Sean; Luke, Michael
- Physical Review D, Vol. 63, Issue 1
Fermilab Tevatron run-1 Z boson data and the Collins-Soper-Sterman resummation formalism
journal, April 2003
- Landry, F.; Brock, R.; Nadolsky, P. M.
- Physical Review D, Vol. 67, Issue 7
QCD Factorization and PDFs from Lattice QCD Calculation
journal, January 2015
- Ma, Yan-Qing; Qiu, Jian-Wei
- International Journal of Modern Physics: Conference Series, Vol. 37
The zero-bin and mode factorization in quantum field theory
journal, October 2007
- Manohar, Aneesh V.; Stewart, Iain W.
- Physical Review D, Vol. 76, Issue 7
Systematic analysis of double-scale evolution
journal, August 2018
- Scimemi, Ignazio; Vladimirov, Alexey
- Journal of High Energy Physics, Vol. 2018, Issue 8
Drell–Yan production at small q T , transverse parton distributions and the collinear anomaly
journal, June 2011
- Becher, Thomas; Neubert, Matthias
- The European Physical Journal C, Vol. 71, Issue 6
Factorization Of Hard Processes In QCD
book, July 1989
- Mueller, A. H.; Collins, John C.; Soper, Davison E.
- Perturbative QCD
Role of the Euclidean signature in lattice calculations of quasidistributions and other nonlocal matrix elements
journal, July 2017
- Briceño, Raúl A.; Hansen, Maxwell T.; Monahan, Christopher J.
- Physical Review D, Vol. 96, Issue 1
Note on lattice regularization and equal-time correlators for parton distribution functions
journal, July 2017
- Rossi, G. C.; Testa, M.
- Physical Review D, Vol. 96, Issue 1
Transverse momentum in double parton scattering: factorisation, evolution and matching
text, January 2018
- Buffing, Maarten G. A.; Diehl, Markus; Kasemets, Tomas
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Matching the quasiparton distribution in a momentum subtraction scheme
journal, March 2018
- Stewart, Iain W.; Zhao, Yong
- Physical Review D, Vol. 97, Issue 5
Soft-collinear effective theory, light-cone gauge, and the -Wilson lines
journal, July 2011
- García-Echevarría, Miguel; Idilbi, Ahmad; Scimemi, Ignazio
- Physical Review D, Vol. 84, Issue 1
Universality of non-leading logarithmic contributions in transverse-momentum distributions
journal, February 2001
- Catani, Stefano; de Florian, Daniel; Grazzini, Massimiliano
- Nuclear Physics B, Vol. 596, Issue 1-2
More on large-momentum effective theory approach to parton physics
journal, November 2017
- Ji, Xiangdong; Zhang, Jian-Hui; Zhao, Yong
- Nuclear Physics B, Vol. 924
Updated lattice results for parton distributions
journal, July 2017
- Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
- Physical Review D, Vol. 96, Issue 1
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
Soft-collinear factorization in effective field theory
journal, February 2002
- Bauer, Christian W.; Pirjol, Dan; Stewart, Iain W.
- Physical Review D, Vol. 65, Issue 5
Calculation of the transverse parton distribution functions at next-to-next-to-leading order
text, January 2014
- Gehrmann, Thomas; Lübbert, Thomas; Yang, Li Lin
- Springer
Structure of rapidity divergences in multi-parton scattering soft factors
text, January 2018
- Vladimirov, Alexey
- Universität Regensburg
More on large-momentum effective theory approach to parton physics
text, January 2017
- Ji, Xiangdong; Zhang, Jian-Hui; Zhao, Young
- Universität Regensburg
Transverse momentum in double parton scattering: factorisation, evolution and matching
text, January 2017
- Buffing, Maarten G. A.; Diehl, Markus; Kasemets, Tomas
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Matches and mismatches in the descriptions of semi-inclusive processes at low and high transverse momentum
text, January 2008
- Bacchetta, Alessandro; Boer, Daniel; Diehl, Markus
- arXiv
Electroweak Gauge-Boson Production at Small q_T: Infrared Safety from the Collinear Anomaly
text, January 2011
- Becher, Thomas; Neubert, Matthias; Wilhelm, Daniel
- arXiv
Factorization Theorem For Drell-Yan At Low q_T And Transverse-Momentum Distributions On-The-Light-Cone
text, January 2011
- Echevarria, Miguel G.; Idilbi, Ahmad; Scimemi, Ignazio
- arXiv
Analytic Regularization in Soft-Collinear Effective Theory
text, January 2011
- Becher, Thomas; Bell, Guido
- arXiv
A Formalism for the Systematic Treatment of Rapidity Logarithms in Quantum Field Theory
text, January 2012
- Chiu, Jui-yu; Jain, Ambar; Neill, Duff
- arXiv
Higgs-Boson Production at Small Transverse Momentum
text, January 2012
- Becher, Thomas; Neubert, Matthias; Wilhelm, Daniel
- arXiv
Higher-twist corrections to gluon TMD factorization
text, January 2017
- Balitsky, I.; Tarasov, A.
- arXiv
Gluon quasidistribution function at one loop
text, January 2017
- Wang, Wei; Zhao, Shuai; Zhu, Ruilin
- arXiv
Transverse momentum in double parton scattering: factorisation, evolution and matching
text, January 2017
- Buffing, Maarten G. A.; Diehl, Markus; Kasemets, Tomas
- arXiv
Power corrections to TMD factorization for Z-boson production
text, January 2017
- Balitsky, I.; Tarasov, A.
- arXiv
Improved quasi parton distribution through Wilson line renormalization
text, January 2016
- Chen, Jiunn-Wei; Ji, Xiangdong; Zhang, Jian-Hui
- Universität Regensburg
Transverse momentum dependent fragmentation function at next-to–next-to–leading order
journal, January 2016
- Echevarria, Miguel G.; Scimemi, Ignazio; Vladimirov, Alexey
- Physical Review D, Vol. 93, Issue 1
Renormalization of Wilson-line operators in the presence of nonzero quark masses
journal, July 2018
- Spanoudes, Gregoris; Panagopoulos, Haralambos
- Physical Review D, Vol. 98, Issue 1
Cancellation of Glauber gluon exchange in the double Drell-Yan process
text, January 2015
- Diehl, Markus; Gaunt, Jonathan R.; Ostermeier, Daniel
- arXiv
The Universal Transverse Momentum Dependent Soft Function at NNLO
text, January 2015
- Echevarria, Miguel G.; Scimemi, Ignazio; Vladimirov, Alexey
- arXiv
Lattice corrections to the quark quasidistribution at one-loop
text, January 2017
- Carlson, Carl E.; Freid, Michael
- arXiv
Factorization Theorem Relating Euclidean and Light-Cone Parton Distributions
text, January 2018
- Izubuchi, Taku; Ji, Xiangdong; Jin, Luchang
- arXiv
Works referencing / citing this record:
Complete matching for quasidistribution functions in large momentum effective theory
journal, October 2019
- Wang, Wei; Zhang, Jian-Hui; Zhao, Shuai
- Physical Review D, Vol. 100, Issue 7
Complete matching for quasidistribution functions in large momentum effective theory
text, January 2019
- Wang, Wei; Zhang, Jian-Hui; Zhao, Shuai
- Universität Regensburg
Unpolarized isovector quark distribution function from lattice QCD: A systematic analysis of renormalization and matching
text, January 2020
- Liu, Yu-Sheng; Chen, Jiunn-Wei; Huo, Yi-Kai
- Universität Regensburg
Unpolarized isovector quark distribution function from Lattice QCD: A systematic analysis of renormalization and matching
text, January 2018
- Liu, Yu-Sheng; Chen, Jiunn-Wei; Huo, Yi-Kai
- arXiv