Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit
Abstract
We present a high-statistics lattice QCD determination of the valence parton distribution function (PDF) of the pion, with a mass of 300 MeV, using two very fine lattice spacings of a = 0.06 fm and 0.04 fm. We reconstruct the x-dependent PDF, as well as infer the first few even moments of the PDF using leading-twist 1-loop perturbative matching framework. Our analyses use both RI-MOM and ratio-based schemes to renormalize the equal-time bi-local quark-bilinear matrix elements of pions boosted up to 2.4 GeV momenta. We use various model-independent and model-dependent analyses to infer the large-x behavior of the valence PDF. We also present technical studies on lattice spacing and higher-twist corrections present in the boosted pion matrix elements.
- Authors:
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); USDOE Laboratory Directed Research and Development (LDRD) Program; National Science Foundation (NSF)
- OSTI Identifier:
- 1716541
- Alternate Identifier(s):
- OSTI ID: 1732155
- Report Number(s):
- BNL-220677-2020-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 094513
- Grant/Contract Number:
- SC0012704; 16-37; PHY-1847893; SC0010339; FG02-04ER41302; AC05-00OR22725
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 102 Journal Issue: 9; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Gao, Xiang, Jin, Luchang, Kallidonis, Christos, Karthik, Nikhil, Mukherjee, Swagato, Petreczky, Peter, Shugert, Charles, Syritsyn, Sergey, and Zhao, Yong. Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit. United States: N. p., 2020.
Web. doi:10.1103/PhysRevD.102.094513.
Gao, Xiang, Jin, Luchang, Kallidonis, Christos, Karthik, Nikhil, Mukherjee, Swagato, Petreczky, Peter, Shugert, Charles, Syritsyn, Sergey, & Zhao, Yong. Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit. United States. https://doi.org/10.1103/PhysRevD.102.094513
Gao, Xiang, Jin, Luchang, Kallidonis, Christos, Karthik, Nikhil, Mukherjee, Swagato, Petreczky, Peter, Shugert, Charles, Syritsyn, Sergey, and Zhao, Yong. Tue .
"Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit". United States. https://doi.org/10.1103/PhysRevD.102.094513.
@article{osti_1716541,
title = {Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit},
author = {Gao, Xiang and Jin, Luchang and Kallidonis, Christos and Karthik, Nikhil and Mukherjee, Swagato and Petreczky, Peter and Shugert, Charles and Syritsyn, Sergey and Zhao, Yong},
abstractNote = {We present a high-statistics lattice QCD determination of the valence parton distribution function (PDF) of the pion, with a mass of 300 MeV, using two very fine lattice spacings of a = 0.06 fm and 0.04 fm. We reconstruct the x-dependent PDF, as well as infer the first few even moments of the PDF using leading-twist 1-loop perturbative matching framework. Our analyses use both RI-MOM and ratio-based schemes to renormalize the equal-time bi-local quark-bilinear matrix elements of pions boosted up to 2.4 GeV momenta. We use various model-independent and model-dependent analyses to infer the large-x behavior of the valence PDF. We also present technical studies on lattice spacing and higher-twist corrections present in the boosted pion matrix elements.},
doi = {10.1103/PhysRevD.102.094513},
journal = {Physical Review D},
number = 9,
volume = 102,
place = {United States},
year = {2020},
month = {11}
}
https://doi.org/10.1103/PhysRevD.102.094513
Works referenced in this record:
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
Scalar densities and baryon mass differences in lattice QCD with Wilson fermions
journal, January 1987
- Maiani, L.; Martinelli, G.; Paciello, M. L.
- Nuclear Physics B, Vol. 293
Wilson expansion of QCD popagators at three loops: operators of dimension two and three
journal, January 2010
- Chetyrkin, K. G.; Maier, A.
- Journal of High Energy Physics, Vol. 2010, Issue 1
Pionic parton distributions
journal, December 1992
- Glück, M.; Reya, E.; Vogt, A.
- Zeitschrift für Physik C Particles and Fields, Vol. 53, Issue 4
Renormalization constants for 2-twist operators in twisted mass QCD
journal, January 2011
- Alexandrou, C.; Constantinou, M.; Korzec, T.
- Physical Review D, Vol. 83, Issue 1
Ghost-gluon coupling, power corrections, and from twisted-mass lattice QCD at
journal, August 2010
- Blossier, B.; Boucaud, Ph.; De soto, F.
- Physical Review D, Vol. 82, Issue 3
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
Isovector and isoscalar tensor charges of the nucleon from lattice QCD
journal, November 2015
- Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Cohen, Saul D.
- Physical Review D, Vol. 92, Issue 9
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
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
Unraveling high-energy hadron structures with lattice QCD
journal, December 2018
- Zhao, Yong
- International Journal of Modern Physics A, Vol. 33, Issue 36
Solving lattice QCD systems of equations using mixed precision solvers on GPUs
journal, September 2010
- Clark, M. A.; Babich, R.; Barros, K.
- Computer Physics Communications, Vol. 181, Issue 9
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
Scaling Laws at Large Transverse Momentum
journal, October 1973
- Brodsky, Stanley J.; Farrar, Glennys R.
- Physical Review Letters, Vol. 31, Issue 18
Non-perturbative renormalization of quark bilinear operators with N f = 2 (tmQCD) Wilson fermions and the tree-level improved gauge action
journal, August 2010
- Constantinou, M.; Dimopoulos, P.; Frezzotti, R.
- Journal of High Energy Physics, Vol. 2010, Issue 8
Pionic parton distributions revisited
journal, September 1999
- Glück, M.; Reya, E.; Schienbein, I.
- The European Physical Journal C, Vol. 10, Issue 2
Isovector parton distribution functions of the proton on a superfine lattice
journal, October 2020
- Fan, Zhouyou; Gao, Xiang; Li, Ruizi
- Physical Review D, Vol. 102, Issue 7
Flavor symmetry and the static potential with hypercubic blocking
journal, July 2001
- Hasenfratz, Anna; Knechtli, Francesco
- Physical Review D, Vol. 64, Issue 3
Parton physics from large-momentum effective field theory
journal, May 2014
- Ji, XiangDong
- Science China Physics, Mechanics & Astronomy, Vol. 57, Issue 7
Universality of Generalized Parton Distributions in Light-Front Holographic QCD
journal, May 2018
- de Téramond, Guy F.; Liu, Tianbo; Sufian, Raza Sabbir
- Physical Review Letters, Vol. 120, Issue 18
Perturbative renormalization of quasi-parton distribution functions
journal, September 2017
- Constantinou, Martha; Panagopoulos, Haralambos
- Physical Review D, Vol. 96, Issue 5
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
The asymptotic behaviour of parton distributions at small and large x
journal, July 2016
- Ball, Richard D.; Nocera, Emanuele R.; Rojo, Juan
- The European Physical Journal C, Vol. 76, Issue 7
𝒪( a 2 ) corrections to the one-loop propagator and bilinears of clover fermions with Symanzik improved gluons
journal, October 2009
- Constantinou, M.; Lubicz, V.; Panagopoulos, H.
- Journal of High Energy Physics, Vol. 2009, Issue 10
Equation of state in ( )-flavor QCD
journal, November 2014
- Bazavov, A.; Bhattacharya, Tanmoy; DeTar, C.
- Physical Review D, Vol. 90, Issue 9
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
Parton distributions for the pion extracted from Drell-Yan and prompt photon experiments
journal, April 1992
- Sutton, P. J.; Martin, A. D.; Roberts, R. G.
- Physical Review D, Vol. 45, Issue 7
Parton model and the Bethe-Salpeter wave function
journal, February 1977
- Soper, Davison E.
- Physical Review D, Vol. 15, Issue 4
Ioffe-time distributions instead of parton momentum distributions in the description of deep inelastic scattering
journal, June 1995
- Braun, V.; Górnicki, P.; Mankiewicz, L.
- Physical Review D, Vol. 51, Issue 11
Review of Particle Physics
journal, August 2018
- Tanabashi, M.; Hagiwara, K.; Hikasa, K.
- Physical Review D, Vol. 98, Issue 3
Color screening in ( )-flavor QCD
journal, September 2018
- Bazavov, A.; Brambilla, N.; Petreczky, P.
- Physical Review D, Vol. 98, Issue 5
Experimental study of muon pairs produced by 252-GeV pions on tungsten
journal, January 1989
- Conway, J. S.; Adolphsen, C. E.; Alexander, J. P.
- Physical Review D, Vol. 39, Issue 1
Distinguishing Quarks and Gluons in Pion and Kaon Parton Distribution Functions
journal, January 2020
- Bednar, Kyle D.; Cloët, Ian C.; Tandy, Peter C.
- Physical Review Letters, Vol. 124, Issue 4
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
-dependent parametrizations of pion parton distribution functions
journal, September 1984
- Owens, J. F.
- Physical Review D, Vol. 30, Issue 5
Parton distribution functions of the charged pion within the xFitter framework
journal, July 2020
- Novikov, Ivan; Abdolmaleki, Hamed; Britzger, Daniel
- Physical Review D, Vol. 102, 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
Highly improved staggered quarks on the lattice with applications to charm physics
journal, March 2007
- Follana, E.; Mason, Q.; Davies, C.
- Physical Review D, Vol. 75, Issue 5
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
Solution of the Kwieciński evolution equations for unintegrated parton distributions using the Mellin transform
journal, August 2004
- Arriola, Enrique Ruiz; Broniowski, Wojciech
- Physical Review D, Vol. 70, 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
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
Experimental determination of the π meson structure functions by the Drell-Yan mechanism
journal, December 1983
- Badier, J.; Boucrot, J.; Bourotte, J.
- Zeitschrift für Physik C Particles and Fields, Vol. 18, Issue 4
Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
journal, December 2010
- Aicher, Matthias; Schäfer, Andreas; Vogelsang, Werner
- Physical Review Letters, Vol. 105, Issue 25
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
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
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
Constrained curve fitting
journal, March 2002
- Lepage, G. P.; Clark, B.; Davies, C. T. H.
- Nuclear Physics B - Proceedings Supplements, Vol. 106-107
Scaling lattice QCD beyond 100 GPUs
conference, January 2011
- Babich, R.; Clark, M. A.; Joó, B.
- Proceedings of 2011 International Conference for High Performance Computing, Networking, Storage and Analysis on - SC '11
Pion parton distribution function in the valence region
journal, December 2005
- Wijesooriya, K.; Reimer, P. E.; Holt, R. J.
- Physical Review C, Vol. 72, Issue 6
Covariant approximation averaging
journal, June 2015
- Shintani, Eigo; Arthur, Rudy; Blum, Thomas
- Physical Review D, Vol. 91, Issue 11
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
First Monte Carlo Global QCD Analysis of Pion Parton Distributions
journal, October 2018
- Barry, P. C.; Sato, N.; Melnitchouk, W.
- Physical Review Letters, Vol. 121, Issue 15
Lattice QCD exploration of parton pseudo-distribution functions
journal, November 2017
- Orginos, Kostas; Radyushkin, Anatoly; Karpie, Joseph
- Physical Review D, Vol. 96, Issue 9
Quark pseudodistributions at short distances
journal, June 2018
- Radyushkin, A. V.
- Physics Letters B, Vol. 781
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
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
Vector - axial vector lattice cross section and valence parton distribution in the pion from a chiral quark model
journal, November 2020
- Broniowski, Wojciech; Ruiz Arriola, Enrique
- Physics Letters B, Vol. 810
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
Pion and kaon parton distribution functions from basis light front quantization and QCD evolution
journal, February 2020
- Lan, Jiangshan; Mondal, Chandan; Jia, Shaoyang
- Physical Review D, Vol. 101, 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
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
Pion and kaon valence-quark parton distribution functions
journal, June 2011
- Nguyen, Trang; Bashir, Adnan; Roberts, Craig D.
- Physical Review C, Vol. 83, Issue 6
Quasi-parton distribution functions, momentum distributions, and pseudo-parton distribution functions
journal, August 2017
- Radyushkin, A. V.
- Physical Review D, Vol. 96, Issue 3
Nonperturbative partonic quasidistributions of the pion from chiral quark models
journal, October 2017
- Broniowski, Wojciech; Ruiz Arriola, Enrique
- Physics Letters B, Vol. 773
Matching the quasiparton distribution in a momentum subtraction scheme
journal, March 2018
- Stewart, Iain W.; Zhao, Yong
- Physical Review D, Vol. 97, Issue 5
Valence-quark distribution functions in the kaon and pion
journal, April 2016
- Chen, Chen; Chang, Lei; Roberts, Craig D.
- Physical Review D, Vol. 93, Issue 7
Drawing insights from pion parton distributions
journal, March 2020
- Ding, Minghui; Raya, Khépani; Binosi, Daniele
- Chinese Physics C, Vol. 44, Issue 3
Hadronic weak interactions of light quarks
journal, March 1999
- Martinelli, G.
- Nuclear Physics B - Proceedings Supplements, Vol. 73, Issue 1-3
Pion structure functions from lattice QCD
journal, October 1987
- Martinelli, G.; Sachrajda, C. T.
- Physics Letters B, Vol. 196, Issue 2
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
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
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
Target mass effects in parton quasi-distributions
journal, July 2017
- Radyushkin, A. V.
- Physics Letters B, Vol. 770
Non-singlet axial vector couplings of the baryon octet in lattice QCD
journal, August 1989
- Güsken, S.; Löw, U.; Mütter, K. -H.
- Physics Letters B, Vol. 227, Issue 2
Symmetry properties of nonlocal quark bilinear operators on a Lattice (LP 3 Collaboration)
journal, September 2019
- Chen, Jiunn-Wei; Ishikawa, Tomomi; Jin, Luchang
- Chinese Physics C, Vol. 43, Issue 10
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
Differential cross-section of high-mass muon pairs produced by a 194 GeV/c π− beam on a tungsten target
journal, March 1985
- Betev, B.; Blaising, J. J.; Bordalo, P.
- Zeitschrift für Physik C Particles and Fields, Vol. 28, Issue 1
Determination of quark masses from lattice QCD and the RI-SMOM intermediate scheme
journal, July 2018
- Lytle, A. T.; Davies, C. T. H.; Hatton, D.
- Physical Review D, Vol. 98, Issue 1