Flavor Decomposition for the Proton Helicity Parton Distribution Functions
Abstract
We present, for the first time, an ab initio calculation of the individual up, down, and strange quark helicity parton distribution functions for the proton. The calculation is performed within the twisted mass clover-improved fermion formulation of lattice QCD. The analysis is performed using one ensemble of dynamical up, down, strange, and charm quarks with a pion mass of 260 MeV. The lattice matrix elements are nonperturbatively renormalized and the final results are presented in the $$\overline{MS}$$ scheme at a scale of 2 GeV. We give results for Δu+ (x), Δd+ (x) Δu⁻ (x), Δd⁻ (x), including disconnected quark loop contributions, as well as for Δs+ (x) and Δs⁻ (x) . For the latter we achieve unprecedented precision compared to the phenomenological estimates.
- Authors:
- Publication Date:
- Research Org.:
- Temple Univ., Philadelphia, PA (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); Cyprus Research and Innovation Foundation; European Unions Horizon 2020 research and Innovation Programme; National Science Foundation (NSF); US Army Research Laboratory (USARL); Sponsoring Consortium for Open Access Publishing in Particle Physics (SCOAP3)
- OSTI Identifier:
- 1770622
- Alternate Identifier(s):
- OSTI ID: 1853636
- Grant/Contract Number:
- SC0020405; AC05-00OR22725; POST-DOC/0718/0100; 765048; 1625061; W911NF-16-2- 0189
- Resource Type:
- Published Article
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Name: Physical Review Letters Journal Volume: 126 Journal Issue: 10; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Physics; lattice field theory; quantum field theory; particle interactions; particle phenomena; strong interaction; quantum chromodynamics
Citation Formats
Alexandrou, Constantia, Constantinou, Martha, Hadjiyiannakou, Kyriakos, Jansen, Karl, and Manigrasso, Floriano. Flavor Decomposition for the Proton Helicity Parton Distribution Functions. United States: N. p., 2021.
Web. doi:10.1103/PhysRevLett.126.102003.
Alexandrou, Constantia, Constantinou, Martha, Hadjiyiannakou, Kyriakos, Jansen, Karl, & Manigrasso, Floriano. Flavor Decomposition for the Proton Helicity Parton Distribution Functions. United States. https://doi.org/10.1103/PhysRevLett.126.102003
Alexandrou, Constantia, Constantinou, Martha, Hadjiyiannakou, Kyriakos, Jansen, Karl, and Manigrasso, Floriano. Fri .
"Flavor Decomposition for the Proton Helicity Parton Distribution Functions". United States. https://doi.org/10.1103/PhysRevLett.126.102003.
@article{osti_1770622,
title = {Flavor Decomposition for the Proton Helicity Parton Distribution Functions},
author = {Alexandrou, Constantia and Constantinou, Martha and Hadjiyiannakou, Kyriakos and Jansen, Karl and Manigrasso, Floriano},
abstractNote = {We present, for the first time, an ab initio calculation of the individual up, down, and strange quark helicity parton distribution functions for the proton. The calculation is performed within the twisted mass clover-improved fermion formulation of lattice QCD. The analysis is performed using one ensemble of dynamical up, down, strange, and charm quarks with a pion mass of 260 MeV. The lattice matrix elements are nonperturbatively renormalized and the final results are presented in the $\overline{MS}$ scheme at a scale of 2 GeV. We give results for Δu+ (x), Δd+ (x) Δu⁻ (x), Δd⁻ (x), including disconnected quark loop contributions, as well as for Δs+ (x) and Δs⁻ (x) . For the latter we achieve unprecedented precision compared to the phenomenological estimates.},
doi = {10.1103/PhysRevLett.126.102003},
journal = {Physical Review Letters},
number = 10,
volume = 126,
place = {United States},
year = {Fri Mar 12 00:00:00 EST 2021},
month = {Fri Mar 12 00:00:00 EST 2021}
}
https://doi.org/10.1103/PhysRevLett.126.102003
Works referenced in this record:
One-loop matching for the twist-3 parton distribution
journal, August 2020
- Bhattacharya, Shohini; Cichy, Krzysztof; Constantinou, Martha
- Physical Review D, Vol. 102, Issue 3
Exclusive processes in position space and the pion distribution amplitude
journal, May 2008
- Braun, V. M.; Müller, D.
- The European Physical Journal C, Vol. 55, Issue 3
First Simultaneous Extraction of Spin-Dependent Parton Distributions and Fragmentation Functions from a Global QCD Analysis
journal, September 2017
- Ethier, J. J.; Sato, N.; Melnitchouk, W.
- Physical Review Letters, Vol. 119, Issue 13
Novel quark smearing for hadrons with high momenta in lattice QCD
journal, May 2016
- Bali, Gunnar S.; Lang, Bernhard; Musch, Bernhard U.
- Physical Review D, Vol. 93, Issue 9
LHAPDF6: parton density access in the LHC precision era
journal, March 2015
- Buckley, Andy; Ferrando, James; Lloyd, Stephen
- The European Physical Journal C, Vol. 75, Issue 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
Moments of Ioffe time parton distribution functions from non-local matrix elements
journal, November 2018
- Karpie, Joseph; Orginos, Kostas; Zafeiropoulos, Savvas
- Journal of High Energy Physics, Vol. 2018, Issue 11
Structure of parton quasi-distributions and their moments
journal, January 2019
- Radyushkin, A. V.
- Physics Letters B, Vol. 788
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
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
Nucleon quasi-parton distributions in the large N limit
journal, September 2020
- Son, Hyeon-Dong; Tandogan, Asli; Polyakov, Maxim V.
- Physics Letters B, Vol. 808
Gluon pseudo-distributions at short distances: Forward case
journal, September 2020
- Balitsky, Ian; Morris, Wayne; Radyushkin, Anatoly
- Physics Letters B, Vol. 808
Pion generalized parton distribution from lattice QCD
journal, March 2020
- Chen, Jiunn-Wei; Lin, Huey-Wen; Zhang, Jian-Hui
- Nuclear Physics B, Vol. 952
Unpolarized and Helicity Generalized Parton Distributions of the Proton within Lattice QCD
journal, December 2020
- Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
- Physical Review Letters, Vol. 125, Issue 26
Improvement, generalization, and scheme conversion of Wilson-line operators on the lattice in the auxiliary field approach
journal, April 2020
- Green, Jeremy R.; Jansen, Karl; Steffens, Fernanda
- Physical Review D, Vol. 101, Issue 7
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
A hybrid renormalization scheme for quasi light-front correlations in large-momentum effective theory
journal, March 2021
- Ji, Xiangdong; Liu, Yizhuang; Schäfer, Andreas
- Nuclear Physics B, Vol. 964
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
Perturbative renormalization of quasi-parton distribution functions
journal, September 2017
- Constantinou, Martha; Panagopoulos, Haralambos
- Physical Review D, Vol. 96, Issue 5
Complete flavor decomposition of the spin and momentum fraction of the proton using lattice QCD simulations at physical pion mass
journal, May 2020
- Alexandrou, C.; Bacchio, S.; Constantinou, M.
- Physical Review D, Vol. 101, Issue 9
Parton distribution functions from Ioffe time pseudo-distributions
journal, December 2019
- Joó, Bálint; Karpie, Joseph; Orginos, Kostas
- Journal of High Energy Physics, Vol. 2019, Issue 12
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
Nucleon Structure Functions from Operator Product Expansion on the Lattice
journal, June 2017
- Chambers, A. J.; Horsley, R.; Nakamura, Y.
- Physical Review Letters, Vol. 118, Issue 24
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
A first unbiased global determination of polarized PDFs and their uncertainties
journal, October 2014
- Nocera, Emanuele R.; Ball, Richard D.; Forte, Stefano
- Nuclear Physics B, Vol. 887
Moments of pion distribution amplitude using operator product expansion on the lattice
conference, May 2019
- Detmold, William; Kanamori, Issaku; Lin, C. -J. ~David
- Proceedings of The 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)
Reconstructing parton distribution functions from Ioffe time data: from Bayesian methods to neural networks
journal, April 2019
- Karpie, Joseph; Orginos, Kostas; Rothkopf, Alexander
- Journal of High Energy Physics, Vol. 2019, Issue 4
Light-Cone Parton Distribution Functions from Lattice QCD
journal, September 2018
- Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
- Physical Review Letters, Vol. 121, Issue 11
EPPS16: nuclear parton distributions with LHC data
journal, March 2017
- Eskola, Kari J.; Paakkinen, Petja; Paukkunen, Hannu
- The European Physical Journal C, Vol. 77, Issue 3
Transversity parton distribution functions from lattice QCD
journal, November 2018
- Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
- Physical Review D, Vol. 98, Issue 9
Pion valence quark distribution from current-current correlation in lattice QCD
journal, September 2020
- Sufian, Raza Sabbir; Egerer, Colin; Karpie, Joseph
- Physical Review D, Vol. 102, Issue 5
Valence parton distribution function of pion from fine lattice
journal, August 2019
- Izubuchi, Taku; Jin, Luchang; Kallidonis, Christos
- Physical Review D, Vol. 100, Issue 3
Master integrals for two-loop QCD corrections to quark quasi PDFs
journal, October 2020
- Chen, Long-Bin; Wang, Wei; Zhu, Ruilin
- Journal of High Energy Physics, Vol. 2020, Issue 10
Insights on proton structure from lattice QCD: The twist-3 parton distribution function
journal, December 2020
- Bhattacharya, Shohini; Cichy, Krzysztof; Constantinou, Martha
- Physical Review D, Vol. 102, Issue 11
One-loop evolution of parton pseudo-distribution functions on the lattice
journal, July 2018
- Radyushkin, Anatoly
- Physical Review D, Vol. 98, Issue 1
Parton distributions from lattice data: the nonsinglet case
journal, October 2019
- Cichy, Krzysztof; Del Debbio, Luigi; Giani, Tommaso
- Journal of High Energy Physics, Vol. 2019, Issue 10
Nucleon strange electromagnetic form factors
journal, February 2020
- Alexandrou, C.; Bacchio, S.; Constantinou, M.
- Physical Review D, Vol. 101, Issue 3
A Guide to Light-Cone PDFs from Lattice QCD: An Overview of Approaches, Techniques, and Results
journal, June 2019
- Cichy, Krzysztof; Constantinou, Martha
- Advances in High Energy Physics, Vol. 2019
Simulating twisted mass fermions at physical light, strange, and charm quark masses
journal, September 2018
- Alexandrou, Constantia; Bacchio, Simone; Charalambous, Panagiotis
- Physical Review D, Vol. 98, Issue 5
Confronting lattice parton distributions with global QCD analysis
journal, January 2021
- Bringewatt, J.; Sato, N.; Melnitchouk, W.
- Physical Review D, Vol. 103, Issue 1
Origin of difference between u ¯ and d ¯ partons in the nucleon
journal, March 1994
- Liu, Keh-Fei; Dong, Shao-Jing
- Physical Review Letters, Vol. 72, Issue 12
-meson light-cone distribution amplitude from Euclidean quantities
journal, July 2020
- Wang, Wei; Wang, Yu-Ming; Xu, Ji
- Physical Review D, Vol. 102, Issue 1
The role of zero-mode contributions in the matching for the twist-3 PDFs and
journal, December 2020
- Bhattacharya, Shohini; Cichy, Krzysztof; Constantinou, Martha
- Physical Review D, Vol. 102, Issue 11
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
Quasiparton distribution functions at NNLO: Flavor nondiagonal quark contributions
journal, July 2020
- Chen, Long-Bin; Wang, Wei; Zhu, Ruilin
- Physical Review D, Vol. 102, Issue 1
Pion distribution amplitude from Euclidean correlation functions
journal, March 2018
- Bali, Gunnar S.; Braun, Vladimir M.; Gläßle, Benjamin
- The European Physical Journal C, Vol. 78, Issue 3
Monte Carlo sampling variant of the DSSV14 set of helicity parton densities
journal, December 2019
- de Florian, Daniel; Lucero, Gonzalo Agustín; Sassot, Rodolfo
- Physical Review D, Vol. 100, Issue 11
Parton Distribution Functions from Ioffe Time Pseudodistributions from Lattice Calculations: Approaching the Physical Point
journal, December 2020
- Joó, Bálint; Karpie, Joseph; Orginos, Kostas
- Physical Review Letters, Vol. 125, Issue 23
Theory and applications of parton pseudodistributions
journal, February 2020
- Radyushkin, A. V.
- International Journal of Modern Physics A, Vol. 35, Issue 05
Nonperturbative evolution of parton quasi-distributions
journal, April 2017
- Radyushkin, A. V.
- Physics Letters B, Vol. 767
Deep-inelastic scattering and the operator product expansion in lattice QCD
journal, January 2006
- Detmold, William; Lin, C. -J. David
- Physical Review D, Vol. 73, Issue 1
Pion distribution amplitude from Euclidean correlation functions: Exploring universality and higher-twist effects
journal, November 2018
- Bali, Gunnar S.; Braun, Vladimir M.; Gläßle, Benjamin
- Physical Review D, Vol. 98, Issue 9
Lattice QCD exploration of parton pseudo-distribution functions
journal, November 2017
- Orginos, Kostas; Radyushkin, Anatoly; Karpie, Joseph
- Physical Review D, Vol. 96, Issue 9
Parton Distributions in Nucleons and Nuclei
journal, October 2020
- Ethier, Jacob J.; Nocera, Emanuele R.
- Annual Review of Nuclear and Particle Science, Vol. 70, Issue 1
Quark pseudodistributions at short distances
journal, June 2018
- Radyushkin, A. V.
- Physics Letters B, Vol. 781
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
Renormalization of parton quasi-distributions beyond the leading order: spacelike vs. timelike
journal, July 2020
- Braun, V. M.; Chetyrkin, K. G.; Kniehl, B. A.
- Journal of High Energy Physics, Vol. 2020, Issue 7
Nucleon axial, tensor, and scalar charges and -terms in lattice QCD
journal, September 2020
- Alexandrou, C.; Bacchio, S.; Constantinou, M.
- Physical Review D, Vol. 102, Issue 5
The structure of the proton in the LHC precision era
journal, May 2018
- Gao, Jun; Harland-Lang, Lucian; Rojo, Juan
- Physics Reports, Vol. 742
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
Lattice QCD evaluation of the Compton amplitude employing the Feynman-Hellmann theorem
journal, December 2020
- Can, K. U.; Hannaford-Gunn, A.; Horsley, R.
- Physical Review D, Vol. 102, Issue 11
The spin structure of the nucleon
journal, April 2013
- Aidala, Christine A.; Bass, Steven D.; Hasch, Delia
- Reviews of Modern Physics, Vol. 85, Issue 2
Towards the nucleon hadronic tensor from lattice QCD
journal, June 2020
- Liang, Jian; Draper, Terrence; Liu, Keh-Fei
- Physical Review D, Vol. 101, Issue 11
Unpolarized isovector quark distribution function from lattice QCD: A systematic analysis of renormalization and matching
journal, February 2020
- Liu, Yu-Sheng; Chen, Jiunn-Wei; Huo, Yi-Kai
- Physical Review D, Vol. 101, Issue 3
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
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
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
A complete non-perturbative renormalization prescription for quasi-PDFs
journal, October 2017
- Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
- Nuclear Physics B, Vol. 923
Generalized parton distributions and pseudodistributions
journal, December 2019
- Radyushkin, A. V.
- Physical Review D, Vol. 100, Issue 11
Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point
journal, June 2019
- Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
- Physical Review D, Vol. 99, Issue 11
Parton distribution functions of on the lattice
journal, July 2020
- Chai, Yahui; Li, Yuan; Xia, Shicheng
- Physical Review D, Vol. 102, Issue 1
Quasi-parton distribution functions, momentum distributions, and pseudo-parton distribution functions
journal, August 2017
- Radyushkin, A. V.
- Physical Review D, Vol. 96, Issue 3
Matching the quasiparton distribution in a momentum subtraction scheme
journal, March 2018
- Stewart, Iain W.; Zhao, Yong
- Physical Review D, Vol. 97, Issue 5
Disconnected diagrams with twisted-mass fermions
conference, March 2017
- Abdel-Rehim, Abdou; Alexandrou, Constantia; Constantinou, Martha
- Proceedings of 34th annual International Symposium on Lattice Field Theory — PoS(LATTICE2016)
Disconnected quark loop contributions to nucleon observables in lattice QCD
journal, February 2014
- Abdel-Rehim, A.; Alexandrou, C.; Constantinou, M.
- Physical Review D, Vol. 89, Issue 3
Proton and neutron electromagnetic form factors from lattice QCD
journal, July 2019
- Alexandrou, C.; Bacchio, S.; Constantinou, M.
- Physical Review D, Vol. 100, Issue 1
Evaluation of disconnected quark loops for hadron structure using GPUs
journal, May 2014
- Alexandrou, C.; Constantinou, M.; Drach, V.
- Computer Physics Communications, Vol. 185, Issue 5
Parton distribution functions from reduced Ioffe-time distributions
journal, April 2018
- Zhang, Jian-Hui; Chen, Jiunn-Wei; Monahan, Christopher
- Physical Review D, Vol. 97, Issue 7
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
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
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
Finite-volume effects due to spatially nonlocal operators
journal, July 2018
- Briceño, Raúl A.; Guerrero, Juan V.; Hansen, Maxwell T.
- Physical Review D, Vol. 98, Issue 1
Pion valence structure from Ioffe-time parton pseudodistribution functions
journal, December 2019
- Joó, Bálint; Karpie, Joseph; Orginos, Kostas
- Physical Review D, Vol. 100, Issue 11
Parton distribution functions from lattice QCD using Bayes-Gauss-Fourier transforms
journal, November 2020
- Alexandrou, Constantia; Iannelli, Giovanni; Jansen, Karl
- Physical Review D, Vol. 102, Issue 9
Updated lattice results for parton distributions
journal, July 2017
- Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
- Physical Review D, Vol. 96, Issue 1
Pion valence quark distribution from matrix element calculated in lattice QCD
journal, April 2019
- Sufian, Raza Sabbir; Karpie, Joseph; Egerer, Colin
- Physical Review D, Vol. 99, Issue 7