Pion distribution amplitude from lattice QCD

Zhang, Jian-Hui; Chen, Jiunn-Wei; Ji, Xiangdong; Jin, Luchang; Lin, Huey-Wen

doi:10.1103/PhysRevD.95.094514

Title: Pion distribution amplitude from lattice QCD

Journal Article · Wed May 31 00:00:00 EDT 2017 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.95.094514· OSTI ID:1544390

Zhang, Jian-Hui ^[1]; Chen, Jiunn-Wei ^[2]; Ji, Xiangdong ^[3]; Jin, Luchang ^[4]; Lin, Huey-Wen ^[5]

Univ. of Regensburg (Germany). Inst. for Theoretische Physik
National Taiwan Univ., Taipei (Taiwan); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Shanghai Jiao Tong Univ. (China); Univ. of Maryland, College Park, MD (United States)
Brookhaven National Lab. (BNL), Upton, NY (United States)
Michigan State Univ., East Lansing, MI (United States)

Here, we introduce the first lattice-QCD calculation of the pion distribution amplitude using the large-momentum effective field theory (LaMET) approach, which allows us to extract light cone parton observables from a Euclidean lattice. The mass corrections needed to extract the pion distribution amplitude from this approach are calculated to all orders in $$m^{2}_{π}$$/$$P^{2}_{z}$$. Furthermore, we implement the Wilson-line renormalization which is crucial to remove the power divergences in this approach, and find that it reduces the oscillation at the end points of the distribution amplitude. Our exploratory result at 310-MeV pion mass favors a single-hump form broader than the asymptotic form of the pion distribution amplitude.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC02-05CH11231; FG02-93ER-40762; SC0012704; 11DZ2260700

OSTI ID:: 1544390

Alternate ID(s):: OSTI ID: 1360999

Report Number(s):: MIT-CTP/4876; MSUHEP-17-003; PRVDAQ

Journal Information:: Physical Review D, Vol. 95, Issue 9; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 109 works

Citation information provided by
Web of Science

References (74)

Pion Form Factor Farrar, Glennys R.; Jackson, Darrell R. Physical Review Letters, Vol. 43, Issue 4 https://doi.org/10.1103/PhysRevLett.43.246	journal	July 1979
Exclusive processes in position space and the pion distribution amplitude Braun, V. M.; Müller, D. The European Physical Journal C, Vol. 55, Issue 3 https://doi.org/10.1140/epjc/s10052-008-0608-4	journal	May 2008
Novel quark smearing for hadrons with high momenta in lattice QCD Bali, Gunnar S.; Lang, Bernhard; Musch, Bernhard U. Physical Review D, Vol. 93, Issue 9 https://doi.org/10.1103/PhysRevD.93.094515	journal	May 2016
Isovector and isoscalar tensor charges of the nucleon from lattice QCD Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Cohen, Saul D. Physical Review D, Vol. 92, Issue 9 https://doi.org/10.1103/PhysRevD.92.094511	journal	November 2015
Nondipolar Wilson links for quasiparton distribution functions Li, Hsiang-nan Physical Review D, Vol. 94, Issue 7 https://doi.org/10.1103/PhysRevD.94.074036	journal	October 2016
Nucleon charges and electromagnetic form factors from $2 + 1 + 1$ -flavor lattice QCD Bhattacharya, Tanmoy; Cohen, Saul D.; Gupta, Rajan Physical Review D, Vol. 89, Issue 9 https://doi.org/10.1103/PhysRevD.89.094502	journal	May 2014
Axial, scalar, and tensor charges of the nucleon from $2 + 1 + 1$ -flavor Lattice QCD Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Cohen, Saul D. Physical Review D, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevD.94.054508	journal	September 2016
Flavor symmetry and the static potential with hypercubic blocking Hasenfratz, Anna; Knechtli, Francesco Physical Review D, Vol. 64, Issue 3 https://doi.org/10.1103/PhysRevD.64.034504	journal	July 2001
Moments of pseudoscalar meson distribution amplitudes from the lattice Braun, V. M.; Göckeler, M.; Horsley, R. Physical Review D, Vol. 74, Issue 7 https://doi.org/10.1103/PhysRevD.74.074501	journal	October 2006
Pion light-cone wave function and pion distribution amplitude in the Nambu–Jona-Lasinio model Arriola, Enrique Ruiz; Broniowski, Wojciech Physical Review D, Vol. 66, Issue 9 https://doi.org/10.1103/PhysRevD.66.094016	journal	November 2002
Parton physics from large-momentum effective field theory Ji, XiangDong Science China Physics, Mechanics & Astronomy, Vol. 57, Issue 7 https://doi.org/10.1007/s11433-014-5492-3	journal	May 2014
Exclusive decays of heavy mesons Chernyak, V. L.; Zhitnitsky, A. R. Nuclear Physics B, Vol. 201, Issue 3 https://doi.org/10.1016/0550-3213(82)90445-X	journal	July 1982
Exploring quark transverse momentum distributions with lattice QCD Musch, B. U.; Hägler, Ph.; Negele, J. W. Physical Review D, Vol. 83, Issue 9 https://doi.org/10.1103/PhysRevD.83.094507	journal	May 2011
A lattice calculation of the second moment of the pion's distribution amplitude Martinelli, G.; Sachrajda, C. T. Physics Letters B, Vol. 190, Issue 1-2 https://doi.org/10.1016/0370-2693(87)90858-6	journal	May 1987
Renormalization of quasiparton distribution Ji, Xiangdong; Zhang, Jian-Hui Physical Review D, Vol. 92, Issue 3 https://doi.org/10.1103/PhysRevD.92.034006	journal	August 2015
Valence QCD: Connecting QCD to the quark model Liu, K. F.; Dong, S. J.; Draper, T. Physical Review D, Vol. 59, Issue 11 https://doi.org/10.1103/PhysRevD.59.112001	journal	April 1999
Imaging Dynamical Chiral-Symmetry Breaking: Pion Wave Function on the Light Front Chang, Lei; Cloët, I. C.; Cobos-Martinez, J. J. Physical Review Letters, Vol. 110, Issue 13 https://doi.org/10.1103/PhysRevLett.110.132001	journal	March 2013
One-loop matching for transversity generalized parton distribution Xiong, Xiaonu; Zhang, Jian-Hui Physical Review D, Vol. 92, Issue 5 https://doi.org/10.1103/PhysRevD.92.054037	journal	September 2015
Measurement of the $γ γ^{*} \to π^{0}$ transition form factor Aubert, B.; Karyotakis, Y.; Lees, J. P. Physical Review D, Vol. 80, Issue 5 https://doi.org/10.1103/PhysRevD.80.052002	journal	September 2009
Exclusive processes in quantum chromodynamics: Evolution equations for hadronic wavefunctions and the form factors of mesons Peter Lepage, G.; Brodsky, Stanley J. Physics Letters B, Vol. 87, Issue 4 https://doi.org/10.1016/0370-2693(79)90554-9	journal	November 1979
Parton Physics on a Euclidean Lattice Ji, Xiangdong Physical Review Letters, Vol. 110, Issue 26 https://doi.org/10.1103/PhysRevLett.110.262002	journal	June 2013
Pion transition form factor and distribution amplitudes in large- $N_{c}$ Regge models Arriola, Enrique Ruiz; Broniowski, Wojciech Physical Review D, Vol. 74, Issue 3 https://doi.org/10.1103/PhysRevD.74.034008	journal	August 2006
One-loop matching for parton distributions: Nonsinglet case Xiong, Xiaonu; Ji, Xiangdong; Zhang, Jian-Hui Physical Review D, Vol. 90, Issue 1 https://doi.org/10.1103/PhysRevD.90.014051	journal	July 2014
Recent Progress on Nucleon Structure with Lattice qcd Lin, Huey-Wen International Journal of Modern Physics: Conference Series, Vol. 25 https://doi.org/10.1142/S2010194514600398	journal	January 2014
Highly improved staggered quarks on the lattice with applications to charm physics Follana, E.; Mason, Q.; Davies, C. Physical Review D, Vol. 75, Issue 5 https://doi.org/10.1103/PhysRevD.75.054502	journal	March 2007
Measurement of parity-violating spin asymmetries in $W^{\pm}$ production at midrapidity in longitudinally polarized $p + p$ collisions Adare, A.; Aidala, C.; Ajitanand, N. N. Physical Review D, Vol. 93, Issue 5 https://doi.org/10.1103/PhysRevD.93.051103	journal	March 2016
Model-Independent Results for SU(3) Violation in Light-Cone Distribution Functions Chen, Jiunn-Wei; Stewart, Iain W. Physical Review Letters, Vol. 92, Issue 20 https://doi.org/10.1103/PhysRevLett.92.202001	journal	May 2004
Measurement of Longitudinal Spin Asymmetries for Weak Boson Production in Polarized Proton-Proton Collisions at RHIC Adamczyk, L.; Adkins, J. K.; Agakishiev, G. Physical Review Letters, Vol. 113, Issue 7 https://doi.org/10.1103/PhysRevLett.113.072301	journal	August 2014
Neutron Electric Dipole Moment and Tensor Charges from Lattice QCD Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Gupta, Rajan Physical Review Letters, Vol. 115, Issue 21 https://doi.org/10.1103/PhysRevLett.115.212002	journal	November 2015
Origin of difference between u ¯ and d ¯ partons in the nucleon Liu, Keh-Fei; Dong, Shao-Jing Physical Review Letters, Vol. 72, Issue 12 https://doi.org/10.1103/PhysRevLett.72.1790	journal	March 1994
Lattice calculation of parton distributions Alexandrou, Constantia; Cichy, Krzysztof; Drach, Vincent Physical Review D, Vol. 92, Issue 1 https://doi.org/10.1103/PhysRevD.92.014502	journal	July 2015
Accessing proton generalized parton distributions and pion distribution amplitudes with the exclusive pion-induced Drell-Yan process at J-PARC Sawada, Takahiro; Chang, Wen-Chen; Kumano, Shunzo Physical Review D, Vol. 93, Issue 11 https://doi.org/10.1103/PhysRevD.93.114034	journal	June 2016
Parton degrees of freedom from the path-integral formalism Liu, Keh-Fei Physical Review D, Vol. 62, Issue 7 https://doi.org/10.1103/PhysRevD.62.074501	journal	August 2000
Calculation of the pion's quark distribution amplitude in lattice QCD with dynamical fermions Daniel, D.; Gupta, R.; Richards, D. G. Physical Review D, Vol. 43, Issue 11 https://doi.org/10.1103/PhysRevD.43.3715	journal	June 1991
Operator product expansion in QCD in off-forward kinematics: separation of kinematic and dynamical contributions Braun, V. M.; Manashov, A. N. Journal of High Energy Physics, Vol. 2012, Issue 1 https://doi.org/10.1007/JHEP01(2012)085	journal	January 2012
Lattice QCD ensembles with four flavors of highly improved staggered quarks Bazavov, A.; Bernard, C.; Komijani, J. Physical Review D, Vol. 87, Issue 5 https://doi.org/10.1103/PhysRevD.87.054505	journal	March 2013
Lattice results for low moments of light meson distribution amplitudes Arthur, R.; Boyle, P. A.; Brömmel, D. Physical Review D, Vol. 83, Issue 7 https://doi.org/10.1103/PhysRevD.83.074505	journal	April 2011
Nonperturbative evolution of parton quasi-distributions Radyushkin, A. V. Physics Letters B, Vol. 767 https://doi.org/10.1016/j.physletb.2017.02.019	journal	April 2017
Belle data on the $π^{0} γ^{*} γ$ form factor: A game changer? Agaev, S. S.; Braun, V. M.; Offen, N. Physical Review D, Vol. 86, Issue 7 https://doi.org/10.1103/PhysRevD.86.077504	journal	October 2012
Pion distribution amplitude and quasidistributions Radyushkin, A. V. Physical Review D, Vol. 95, Issue 5 https://doi.org/10.1103/PhysRevD.95.056020	journal	March 2017
Improved quasi parton distribution through Wilson line renormalization Chen, Jiunn-Wei; Ji, Xiangdong; Zhang, Jian-Hui Nuclear Physics B, Vol. 915 https://doi.org/10.1016/j.nuclphysb.2016.12.004	journal	February 2017
Deep-inelastic scattering and the operator product expansion in lattice QCD Detmold, William; Lin, C. -J. David Physical Review D, Vol. 73, Issue 1 https://doi.org/10.1103/PhysRevD.73.014501	journal	January 2006
Restoration of rotational symmetry in the continuum limit of lattice field theories Davoudi, Zohreh; Savage, Martin J. Physical Review D, Vol. 86, Issue 5 https://doi.org/10.1103/PhysRevD.86.054505	journal	September 2012
Second moment of the pion light-cone distribution amplitude from lattice QCD Braun, V. M.; Collins, S.; Göckeler, M. Physical Review D, Vol. 92, Issue 1 https://doi.org/10.1103/PhysRevD.92.014504	journal	July 2015
Pion Distribution Amplitude from Lattice QCD Cloët, I. C.; Chang, L.; Roberts, C. D. Physical Review Letters, Vol. 111, Issue 9 https://doi.org/10.1103/PhysRevLett.111.092001	journal	August 2013
Kinematic Power Corrections in Off-Forward Hard Reactions Braun, V. M.; Manashov, A. N. Physical Review Letters, Vol. 107, Issue 20 https://doi.org/10.1103/PhysRevLett.107.202001	journal	November 2011
One-loop matching for generalized parton distributions Ji, Xiangdong; Schäfer, Andreas; Xiong, Xiaonu Physical Review D, Vol. 92, Issue 1 https://doi.org/10.1103/PhysRevD.92.014039	journal	July 2015
Quasi parton distributions and the gradient flow Monahan, Christopher; Orginos, Kostas Journal of High Energy Physics, Vol. 2017, Issue 3 https://doi.org/10.1007/JHEP03(2017)116	journal	March 2017
Measurement of $γ γ^{*} \to π^{0}$ transition form factor at Belle Uehara, S.; Watanabe, Y.; Nakazawa, H. Physical Review D, Vol. 86, Issue 9 https://doi.org/10.1103/PhysRevD.86.092007	journal	November 2012
Flavor structure of the nucleon sea from lattice QCD Lin, Huey-Wen; Chen, Jiunn-Wei; Cohen, Saul D. Physical Review D, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevD.91.054510	journal	March 2015
Nucleon helicity and transversity parton distributions from lattice QCD Chen, Jiunn-Wei; Cohen, Saul D.; Ji, Xiangdong Nuclear Physics B, Vol. 911 https://doi.org/10.1016/j.nuclphysb.2016.07.033	journal	October 2016
The Chroma Software System for Lattice QCD Edwards, Robert G.; Joó, Bálint Nuclear Physics B - Proceedings Supplements, Vol. 140 https://doi.org/10.1016/j.nuclphysbps.2004.11.254	journal	March 2005
Exclusive processes in position space and the pion distribution amplitude Braun, Vladimir M.; Müller, Dieter Universität Regensburg https://doi.org/10.5283/epub.13559	text	January 2008
Nucleon helicity and transversity parton distributions from lattice QCD Chen, Jiunn-Wei; Cohen, Saul D.; Ji, Xiangdong Universität Regensburg https://doi.org/10.5283/epub.37220	text	January 2016
Measurement of γγ ^* → π ⁰ transition form factor at Belle Uehara, Sadaharu EPJ Web of Conferences, Vol. 37 https://doi.org/10.1051/epjconf/20123705009	journal	January 2012
Exploring quark transverse momentum distributions with lattice QCD Musch, Bernhard U.; Hägler, Philipp; Negele, John W. arXiv https://doi.org/10.48550/arxiv.1011.1213	text	January 2010
Kinematic power corrections in off-forward hard reactions Braun, V. M.; Manashov, A. N. arXiv https://doi.org/10.48550/arxiv.1108.2394	text	January 2011
Restoration of Rotational Symmetry in the Continuum Limit of Lattice Field Theories Davoudi, Zohreh; Savage, Martin J. arXiv https://doi.org/10.48550/arxiv.1204.4146	text	January 2012
Imaging dynamical chiral symmetry breaking: pion wave function on the light front Chang, Lei; Cloet, I. C.; Cobos-Martinez, J. J. arXiv https://doi.org/10.48550/arxiv.1301.0324	text	January 2013
Parton Physics on Euclidean Lattice Ji, Xiangdong arXiv https://doi.org/10.48550/arxiv.1305.1539	text	January 2013
Pion distribution amplitude from lattice-QCD Cloët, I. C.; Chang, L.; Roberts, C. D. arXiv https://doi.org/10.48550/arxiv.1306.2645	text	January 2013
Parton Physics from Large-Momentum Effective Field Theory Ji, Xiangdong arXiv https://doi.org/10.48550/arxiv.1404.6680	preprint	January 2014
Neutron Electric Dipole Moment and Tensor Charges from Lattice QCD Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Gupta, Rajan arXiv https://doi.org/10.48550/arxiv.1506.04196	text	January 2015
Novel quark smearing for hadrons with high momenta in lattice QCD Bali, Gunnar S.; Lang, Bernhard; Musch, Bernhard U. arXiv https://doi.org/10.48550/arxiv.1602.05525	text	January 2016
Non-dipolar Wilson links for quasi-parton distribution functions Li, Hsiang-nan arXiv https://doi.org/10.48550/arxiv.1602.07575	text	January 2016
Nucleon Helicity and Transversity Parton Distributions from Lattice QCD Chen, Jiunn-Wei; Cohen, Saul D.; Ji, Xiangdong arXiv https://doi.org/10.48550/arxiv.1603.06664	text	January 2016
Pion Distribution Amplitude and Quasi-Distributions Radyushkin, Anatoly V. arXiv https://doi.org/10.48550/arxiv.1701.02688	text	January 2017
Flavor Symmetry and the Static Potential with Hypercubic Blocking Hasenfratz, A.; Knechtli, F. arXiv https://doi.org/10.48550/arxiv.hep-lat/0103029	text	January 2001
The Chroma Software System for Lattice QCD Edwards, Robert G.; Joo, Balint arXiv https://doi.org/10.48550/arxiv.hep-lat/0409003	text	January 2004
Deep-inelastic scattering and the operator product expansion in lattice QCD Detmold, William; Lin, C. -J. David arXiv https://doi.org/10.48550/arxiv.hep-lat/0507007	text	January 2005
Moments of pseudoscalar meson distribution amplitudes from the lattice Braun, V. M.; Göckeler, M.; Horsley, R. arXiv https://doi.org/10.48550/arxiv.hep-lat/0606012	text	January 2006
Pion light-cone wave function and pion distribution amplitude in the Nambu-Jona-Lasinio model Arriola, Enrique Ruiz; Broniowski, Wojciech arXiv https://doi.org/10.48550/arxiv.hep-ph/0207266	text	January 2002
Valence QCD: Connecting QCD to the Quark Model Liu, K. F.; Dong, S. J.; Draper, T. arXiv https://doi.org/10.48550/arxiv.hep-ph/9806491	text	January 1998
Improved quasi parton distribution through Wilson line renormalization Chen, Jiunn-Wei; Ji, Xiangdong; Zhang, Jian-Hui Universität Regensburg https://doi.org/10.5283/epub.37217	text	January 2016

Cited By (36)

$$N^*$$ N ∗ Structure and Strong QCD Roberts, Craig D. Few-Body Systems, Vol. 59, Issue 4 https://doi.org/10.1007/s00601-018-1385-8	journal	May 2018
Gaussian-weighted parton quasi-distribution (Lattice Parton Physics Project (LP3)) Ishikawa, Tomomi; Jin, LuChang; Lin, Huey-Wen Science China Physics, Mechanics & Astronomy, Vol. 62, Issue 9 https://doi.org/10.1007/s11433-018-9375-1	journal	April 2019
The pion: an enigma within the Standard Model Horn, Tanja; Roberts, Craig D. Journal of Physics G: Nuclear and Particle Physics, Vol. 43, Issue 7 https://doi.org/10.1088/0954-3899/43/7/073001	journal	May 2016
Symmetry properties of nonlocal quark bilinear operators on a Lattice (LP ³ Collaboration) Chen, Jiunn-Wei; Ishikawa, Tomomi; Jin, Luchang Chinese Physics C, Vol. 43, Issue 10 https://doi.org/10.1088/1674-1137/43/10/103101	journal	September 2019
Pion and kaon structure at the electron-ion collider Aguilar, Arlene C.; Ahmed, Zafir; Aidala, Christine The European Physical Journal A, Vol. 55, Issue 10 https://doi.org/10.1140/epja/i2019-12885-0	journal	October 2019
Two-hadron saturation for the pseudoscalar–vector–vector correlator and phenomenological applications Husek, Tomáš; Leupold, Stefan The European Physical Journal C, Vol. 75, Issue 12 https://doi.org/10.1140/epjc/s10052-015-3778-x	journal	December 2015
A Guide to Light-Cone PDFs from Lattice QCD: An Overview of Approaches, Techniques, and Results Cichy, Krzysztof; Constantinou, Martha Advances in High Energy Physics, Vol. 2019 https://doi.org/10.1155/2019/3036904	journal	June 2019
Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2019-02720	text	January 2019
Nucleon and $${\Delta}$$ Δ Elastic and Transition Form Factors Segovia, Jorge; Cloët, Ian C.; Roberts, Craig D. Few-Body Systems, Vol. 55, Issue 12 https://doi.org/10.1007/s00601-014-0907-2	journal	October 2014
Gluon quasidistribution function at one loop Wang, Wei; Zhao, Shuai; Zhu, Ruilin The European Physical Journal C, Vol. 78, Issue 2 https://doi.org/10.1140/epjc/s10052-018-5617-3	journal	February 2018
Parton distribution functions from reduced Ioffe-time distributions Zhang, Jian-Hui; Chen, Jiunn-Wei; Monahan, Christopher Universität Regensburg https://doi.org/10.5283/epub.37227	text	January 2018
Power corrections and renormalons in parton quasidistributions Braun, Vladimir M.; Vladimirov, Alexey; Zhang, Jian-Hui Universität Regensburg https://doi.org/10.5283/epub.38342	text	January 2019
Symmetry properties of nonlocal quark bilinear operators on a Lattice (LP3 Collaboration) Chen, Jiunn-Wei; Ishikawa, Tomomi; Jin, Luchang Universität Regensburg https://doi.org/10.5283/epub.45487	text	January 2019
Radiative leptonic decay B → γℓνℓ with subleading power corrections Beneke, M.; Braun, V. M.; Ji, Yao Universität Regensburg https://doi.org/10.5283/epub.45523	text	January 2018
Pion distribution amplitude from Euclidean correlation functions: Exploring universality and higher-twist effects Bali, Gunnar S.; Braun, Vladimir M.; Gläßle, Benjamin Universität Regensburg https://doi.org/10.5283/epub.38344	text	January 2018
Parton distribution function with nonperturbative renormalization from lattice QCD Chen, Jiunn-Wei; Ishikawa, Tomomi; Jin, Luchang Universität Regensburg https://doi.org/10.5283/epub.38352	text	January 2018
Complete matching for quasidistribution functions in large momentum effective theory Wang, Wei; Zhang, Jian-Hui; Zhao, Shuai Universität Regensburg https://doi.org/10.5283/epub.45483	text	January 2019
Nucleon generalized form factors from two-flavor lattice QCD Bali, Gunnar; Collins, Sara; Göckeler, Meinulf Universität Regensburg https://doi.org/10.5283/epub.45498	text	January 2019
Accessing Gluon Parton Distributions in Large Momentum Effective Theory Zhang, Jian-Hui; Ji, Xiangdong; Schäfer, Andreas Universität Regensburg https://doi.org/10.5283/epub.45509	text	January 2019
Unpolarized isovector quark distribution function from lattice QCD: A systematic analysis of renormalization and matching Liu, Yu-Sheng; Chen, Jiunn-Wei; Huo, Yi-Kai Universität Regensburg https://doi.org/10.5283/epub.45463	text	January 2020
Matching the Quasi Parton Distribution in a Momentum Subtraction Scheme Zhao, Yong; Stewart, Iain W. Proceedings of QCD Evolution 2017 — PoS(QCDEV2017) https://doi.org/10.22323/1.308.0013	conference	March 2018
The role of the Euclidean signature in lattice calculations of quasi-distributions and other non-local matrix elements Briceño, Raúl A.; Hansen, Maxwell T.; Monahan, Christopher J. arXiv https://doi.org/10.48550/arxiv.1703.06072	text	January 2017
Gluon quasidistribution function at one loop Wang, Wei; Zhao, Shuai; Zhu, Ruilin arXiv https://doi.org/10.48550/arxiv.1708.02458	text	January 2017
Matching the Quasi Parton Distribution in a Momentum Subtraction Scheme Stewart, Iain W.; Zhao, Yong arXiv https://doi.org/10.48550/arxiv.1709.04933	text	January 2017
Parton distribution functions from reduced Ioffe-time distributions Zhang, Jian-Hui; Chen, Jiunn-Wei; Monahan, Christopher arXiv https://doi.org/10.48550/arxiv.1801.03023	text	January 2018
Factorization Theorem Relating Euclidean and Light-Cone Parton Distributions Izubuchi, Taku; Ji, Xiangdong; Jin, Luchang arXiv https://doi.org/10.48550/arxiv.1801.03917	text	January 2018
Renormalization of Wilson-line operators in the presence of nonzero quark masses Spanoudes, G.; Panagopoulos, H. arXiv https://doi.org/10.48550/arxiv.1805.01164	text	January 2018
Pion and kaon valence quark distribution functions from Dyson-Schwinger equations Shi, Chao; Mezrag, Cedric; Zong, Hong-shi arXiv https://doi.org/10.48550/arxiv.1806.10232	text	January 2018
Unpolarized isovector quark distribution function from Lattice QCD: A systematic analysis of renormalization and matching Liu, Yu-Sheng; Chen, Jiunn-Wei; Huo, Yi-Kai arXiv https://doi.org/10.48550/arxiv.1807.06566	text	January 2018
Pion distribution amplitude from Euclidean correlation functions: Exploring universality and higher-twist effects Bali, Gunnar S.; Braun, Vladimir M.; Gläßle, Benjamin arXiv https://doi.org/10.48550/arxiv.1807.06671	text	January 2018
Mass-dependence of pseudoscalar meson elastic form factors Chen, Muyang; Ding, Minghui; Chang, Lei arXiv https://doi.org/10.48550/arxiv.1808.09461	text	January 2018
A guide to light-cone PDFs from Lattice QCD: an overview of approaches, techniques and results Cichy, Krzysztof; Constantinou, Martha arXiv https://doi.org/10.48550/arxiv.1811.07248	text	January 2018
Unravelling High-Energy Hadron Structures with Lattice QCD Zhao, Yong arXiv https://doi.org/10.48550/arxiv.1812.07192	text	January 2018
Pion and Kaon Structure at the Electron-Ion Collider Aguilar, Arlene C.; Ahmed, Zafir; Aidala, Christine arXiv https://doi.org/10.48550/arxiv.1907.08218	text	January 2019
Matching generalized parton quasidistributions in the RI/MOM scheme Liu, Yu-Sheng; Wang, Wei; Xu, Ji Universität Regensburg https://doi.org/10.5283/epub.45495	text	January 2019
Transverse momentum dependent parton quasidistributions Ji, Xiangdong; Jin, Lu-Chang; Yuan, Feng Universität Regensburg https://doi.org/10.5283/epub.45502	text	January 2019