Moments of proton GPDs from the OPE of nonlocal quark bilinears up to NNLO

Bhattacharya, Shohini; Cichy, Krzysztof; Constantinou, Martha; Gao, Xiang; Metz, Andreas; Miller, Joshua; Mukherjee, Swagato; Petreczky, Peter; Steffens, Fernanda; Zhao, Yong

doi:10.1103/PhysRevD.108.014507

Title: Moments of proton GPDs from the OPE of nonlocal quark bilinears up to NNLO

Journal Article · Mon Jul 17 00:00:00 EDT 2023 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.108.014507· OSTI ID:1989980

; Cichy, Krzysztof; Constantinou, Martha;

;

; Miller, Joshua;

; Petreczky, Peter; Steffens, Fernanda; Zhao, Yong

For the first time, we present a lattice QCD determination of Mellin moments of unpolarized generalized parton distributions (GPDs) of the proton from an analysis of the quasi-GPD matrix elements within the short-distance factorization framework. We perform our calculation on an $$N_f =2+1+1$$ twisted mass fermions ensemble with a clover improvement at lattice spacing $$α$$ = 0.093 fm and a pion mass of $$m$$_π = 260 MeV. Focusing on the zero-skewness case, the iso-vector and iso-scalar quasi-GPDs are calculated from the _$γ0$ definition, as well as a recently proposed Lorentz-invariant definition. We utilize data on both symmetric and asymmetric kinematic frames, which allows us to obtain the Mellin moments for several values of the momentum transfer, $-t$, in the range 0.17 to 2.77 GeV². We use the ratio scheme for GPDs, i.e., renormalization group invariant ratios with leading-twist factorization formula and perturbatively calculated matching coefficients up to the next-next-to-leading order (NNLO) to extract Mellin moments of GPDs, which are consistent with renormalization-group improved results. We compare our determination from quasi-GPDs with the results extracted using standard calculations of Mellin moments of local operators, specifically those related to the electromagnetic and gravitational form factors. We estimated the moments of GPDs up to the fifth ones for the first time. By extrapolating the Mellin moments to $-t$ = 0, we obtained the quark charges, momentum fraction, as well as the angular momentum contributions to the proton spin. The impact parameter space interpretation of the GPD moments is discussed, which provides insights into the spatial distribution of unpolarized quarks and their correlations in the transverse plane of an unpolarized or transversely polarized proton.

View Journal Article

Cite

Export

Save

Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Laboratory Directed Research and Development (LDRD) Program; National Science Centre; National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF); Gordon and Betty Moore Foundation; National Natural Science Foundation of China (NSFC)

Grant/Contract Number:: AC05-00OR22725; SC0012704; AC02-06CH11357; SC0020405; SC0023646; GBMF6210; PHY-2110472; 2021/43/B/ST2/00497; 2016/22/E/ST2/00013; 12070131001

OSTI ID:: 1989980

Alternate ID(s):: OSTI ID: 1996018

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Vol. 108 Journal Issue: 1; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (149)

GPD phenomenology and DVCS fitting: Entering the high-precision era Kumerički, Krešimir; Liuti, Simonetta; Moutarde, Hervé The European Physical Journal A, Vol. 52, Issue 6 https://doi.org/10.1140/epja/i2016-16157-3	journal	June 2016
Improved parton distribution functions at the physical pion mass Lin, Huey-Wen; Chen, Jiunn-Wei; Ishikawa, Tomomi Physical Review D, Vol. 98, Issue 5 https://doi.org/10.1103/PhysRevD.98.054504	journal	September 2018
Nucleon electromagnetic form factors from lattice QCD using a nearly physical pion mass Green, J. R.; Negele, J. W.; Pochinsky, A. V. Physical Review D, Vol. 90, Issue 7 https://doi.org/10.1103/PhysRevD.90.074507	journal	October 2014
Generalized parton distributions through universal moment parameterization: zero skewness case Guo, Yuxun; Ji, Xiangdong; Shiells, Kyle Journal of High Energy Physics, Vol. 2022, Issue 9 https://doi.org/10.1007/JHEP09(2022)215	journal	September 2022
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
Forces inside hadrons: Pressure, surface tension, mechanical radius, and all that Polyakov, Maxim V.; Schweitzer, Peter International Journal of Modern Physics A, Vol. 33, Issue 26 https://doi.org/10.1142/S0217751X18300259	journal	September 2018
Factorization theorem relating Euclidean and light-cone parton distributions Izubuchi, Taku; Ji, Xiangdong; Jin, Luchang Physical Review D, Vol. 98, Issue 5 https://doi.org/10.1103/PhysRevD.98.056004	journal	September 2018
Probing axial quark generalized parton distributions through exclusive photoproduction of a γπ± pair with a large invariant mass Duplančić, G.; Passek-Kumerički, K.; Pire, B. Journal of High Energy Physics, Vol. 2018, Issue 11 https://doi.org/10.1007/JHEP11(2018)179	journal	November 2018
First Lattice QCD Study of Proton Twist-3 GPDs Dodson, Jack; Bhattacharya, S.; Cichy, K. Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021) https://doi.org/10.22323/1.396.0054	conference	May 2022
Lattice continuum-limit study of nucleon parton quasidistribution functions Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha Physical Review D, Vol. 103, Issue 9 https://doi.org/10.1103/PhysRevD.103.094512	journal	May 2021
Isovector parton distribution functions of the proton on a superfine lattice Fan, Zhouyou; Gao, Xiang; Li, Ruizi Physical Review D, Vol. 102, Issue 7 https://doi.org/10.1103/PhysRevD.102.074504	journal	October 2020
Scaling limit of deeply virtual compton scattering Radyushkin, A. V. Physics Letters B, Vol. 380, Issue 3-4 https://doi.org/10.1016/0370-2693(96)00528-X	journal	July 1996
Pion generalized parton distribution from lattice QCD Chen, Jiunn-Wei; Lin, Huey-Wen; Zhang, Jian-Hui Nuclear Physics B, Vol. 952 https://doi.org/10.1016/j.nuclphysb.2020.114940	journal	March 2020
Unpolarized and Helicity Generalized Parton Distributions of the Proton within Lattice QCD Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha Physical Review Letters, Vol. 125, Issue 26 https://doi.org/10.1103/PhysRevLett.125.262001	journal	December 2020
Nucleon form factors from generalized parton distributions Guidal, M.; Polyakov, M. V.; Radyushkin, A. V. Physical Review D, Vol. 72, Issue 5 https://doi.org/10.1103/PhysRevD.72.054013	journal	September 2005
Pion and kaon distribution amplitudes in the continuum limit Zhang, Rui; Honkala, Carson; Lin, Huey-Wen Physical Review D, Vol. 102, Issue 9 https://doi.org/10.1103/PhysRevD.102.094519	journal	November 2020
Interpretation of the flavor dependence of nucleon form factors in a generalized parton distribution model Gonzalez-Hernandez, J. Osvaldo; Liuti, Simonetta; Goldstein, Gary R. Physical Review C, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevC.88.065206	journal	December 2013
Nucleon axial form factors using $N_{f} = 2$ twisted mass fermions with a physical value of the pion mass Alexandrou, C.; Constantinou, M.; Hadjiyiannakou, K. Physical Review D, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRevD.96.054507	journal	September 2017
Pion distribution amplitude at the physical point using the leading-twist expansion of the quasi-distribution-amplitude matrix element Gao, Xiang; Hanlon, Andrew D.; Karthik, Nikhil Physical Review D, Vol. 106, Issue 7 https://doi.org/10.1103/PhysRevD.106.074505	journal	October 2022
Perturbative renormalization of quasi-parton distribution functions Constantinou, Martha; Panagopoulos, Haralambos Physical Review D, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRevD.96.054506	journal	September 2017
Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit Gao, Xiang; Jin, Luchang; Kallidonis, Christos Physical Review D, Vol. 102, Issue 9 https://doi.org/10.1103/PhysRevD.102.094513	journal	November 2020
Nucleon Tomography and Generalized Parton Distribution at Physical Pion Mass from Lattice QCD Lin, Huey-Wen Physical Review Letters, Vol. 127, Issue 18 https://doi.org/10.1103/PhysRevLett.127.182001	journal	October 2021
Resumming quark's longitudinal momentum logarithms in LaMET expansion of lattice PDFs Su, Yushan; Holligan, Jack; Ji, Xiangdong Nuclear Physics B, Vol. 991 https://doi.org/10.1016/j.nuclphysb.2023.116201	journal	June 2023
Relations between generalized and transverse momentum dependent parton distributions Meißner, S.; Metz, A.; Goeke, K. Physical Review D, Vol. 76, Issue 3 https://doi.org/10.1103/PhysRevD.76.034002	journal	August 2007
Gauge-Invariant Decomposition of Nucleon Spin Ji, Xiangdong Physical Review Letters, Vol. 78, Issue 4 https://doi.org/10.1103/PhysRevLett.78.610	journal	January 1997
Generalized parton distributions at zero skewness Hashamipour, Hadi; Goharipour, Muhammad; Azizi, K. Physical Review D, Vol. 107, Issue 9 https://doi.org/10.1103/PhysRevD.107.096005	journal	May 2023
Computing the nucleon charge and axial radii directly at $Q^{2} = 0$ in lattice QCD Hasan, Nesreen; Green, Jeremy; Meinel, Stefan Physical Review D, Vol. 97, Issue 3 https://doi.org/10.1103/PhysRevD.97.034504	journal	February 2018
Flavor decomposition of the nucleon unpolarized, helicity, and transversity parton distribution functions from lattice QCD simulations Alexandrou, Constantia; Constantinou, Martha; Hadjiyiannakou, Kyriakos Physical Review D, Vol. 104, Issue 5 https://doi.org/10.1103/PhysRevD.104.054503	journal	September 2021
Moments of nucleon generalized parton distributions in lattice QCD Hägler, Ph.; Negele, J. W.; Renner, D. B. Physical Review D, Vol. 68, Issue 3 https://doi.org/10.1103/PhysRevD.68.034505	journal	August 2003
Large-momentum effective theory Ji, Xiangdong; Liu, Yizhuang; Liu, Yu-Sheng Reviews of Modern Physics, Vol. 93, Issue 3 https://doi.org/10.1103/RevModPhys.93.035005	journal	August 2021
Exclusive Electroproduction of Lepton Pairs as a Probe of Nucleon Structure Belitsky, A. V.; Müller, D. Physical Review Letters, Vol. 90, Issue 2 https://doi.org/10.1103/PhysRevLett.90.022001	journal	January 2003
Axial-vector form factors of the nucleon from lattice QCD Gupta, Rajan; Jang, Yong-Chull; Lin, Huey-Wen Physical Review D, Vol. 96, Issue 11 https://doi.org/10.1103/PhysRevD.96.114503	journal	December 2017
Generalized parton distributions through universal moment parameterization: non-zero skewness case Guo, Yuxun; Ji, Xiangdong; Santiago, M. Gabriel Journal of High Energy Physics, Vol. 2023, Issue 5 https://doi.org/10.1007/JHEP05(2023)150	journal	May 2023
Nucleon electromagnetic form factors in twisted mass lattice QCD Alexandrou, C.; Brinet, M.; Carbonell, J. Physical Review D, Vol. 83, Issue 9 https://doi.org/10.1103/PhysRevD.83.094502	journal	May 2011
Model independent determination of the light-cone wave functions for exclusive processes Aglietti, U.; Ciuchini, M.; Corbò, G. Physics Letters B, Vol. 441, Issue 1-4 https://doi.org/10.1016/S0370-2693(98)01138-1	journal	November 1998
Renormalizability of quasiparton distribution functions Ishikawa, Tomomi; Ma, Yan-Qing; Qiu, Jian-Wei Physical Review D, Vol. 96, Issue 9 https://doi.org/10.1103/PhysRevD.96.094019	journal	November 2017
Adaptive aggregation-based domain decomposition multigrid for twisted mass fermions Alexandrou, Constantia; Bacchio, Simone; Finkenrath, Jacob Physical Review D, Vol. 94, Issue 11 https://doi.org/10.1103/PhysRevD.94.114509	journal	December 2016
Light-Cone Parton Distribution Functions from Lattice QCD Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha Physical Review Letters, Vol. 121, Issue 11 https://doi.org/10.1103/PhysRevLett.121.112001	journal	September 2018
Proton Isovector Helicity Distribution on the Lattice at Physical Pion Mass Lin, Huey-Wen; Chen, Jiunn-Wei; Ji, Xiangdong Physical Review Letters, Vol. 121, Issue 24 https://doi.org/10.1103/PhysRevLett.121.242003	journal	December 2018
Pion distribution amplitude from lattice QCD Zhang, Jian-Hui; Chen, Jiunn-Wei; Ji, Xiangdong Physical Review D, Vol. 95, Issue 9 https://doi.org/10.1103/PhysRevD.95.094514	journal	May 2017
The x-dependence of hadronic parton distributions: A review on the progress of lattice QCD Constantinou, Martha The European Physical Journal A, Vol. 57, Issue 2 https://doi.org/10.1140/epja/s10050-021-00353-7	journal	February 2021
Vector-meson electroproduction at small Bjorken-x and generalized parton distributions Goloskokov, S. V.; Kroll, P. The European Physical Journal C, Vol. 42, Issue 3 https://doi.org/10.1140/epjc/s2005-02298-5	journal	August 2005
Erratum: Impact parameter dependent parton distributions and off-forward parton distributions for $\vec{ζ} 0$ [Phys. Rev. D 62 , 071503(R) (2000)] Burkardt, Matthias Physical Review D, Vol. 66, Issue 11 https://doi.org/10.1103/PhysRevD.66.119903	journal	December 2002
Solving the PCAC puzzle for nucleon axial and pseudoscalar form factors Bali, G. S.; Collins, S.; Gruber, M. Physics Letters B, Vol. 789 https://doi.org/10.1016/j.physletb.2018.12.053	journal	February 2019
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
Simulating twisted mass fermions at physical light, strange, and charm quark masses Alexandrou, Constantia; Bacchio, Simone; Charalambous, Panagiotis Physical Review D, Vol. 98, Issue 5 https://doi.org/10.1103/PhysRevD.98.054518	journal	September 2018
Femtophotography of protons to nuclei with deeply virtual Compton scattering Ralston, John P.; Pire, Bernard Physical Review D, Vol. 66, Issue 11 https://doi.org/10.1103/PhysRevD.66.111501	journal	December 2002
Transverse deformation of parton distributions and transversity decomposition of angular momentum Burkardt, Matthias Physical Review D, Vol. 72, Issue 9 https://doi.org/10.1103/PhysRevD.72.094020	journal	November 2005
Transversity parton distribution function of the nucleon using the pseudodistribution approach Egerer, Colin; Kallidonis, Christos; Karpie, Joseph Physical Review D, Vol. 105, Issue 3 https://doi.org/10.1103/PhysRevD.105.034507	journal	February 2022
Pion and Kaon Distribution Amplitudes from Lattice QCD Hua, Jun; Chu, Min-Huan; He, Fang-Cheng Physical Review Letters, Vol. 129, Issue 13 https://doi.org/10.1103/PhysRevLett.129.132001	journal	September 2022
Parton physics from a heavy-quark operator product expansion: Lattice QCD calculation of the second moment of the pion distribution amplitude Detmold, William; Grebe, Anthony V.; Kanamori, Issaku Physical Review D, Vol. 105, Issue 3 https://doi.org/10.1103/PhysRevD.105.034506	journal	February 2022
Parton Distribution Functions from Ioffe Time Pseudodistributions from Lattice Calculations: Approaching the Physical Point Joó, Bálint; Karpie, Joseph; Orginos, Kostas Physical Review Letters, Vol. 125, Issue 23 https://doi.org/10.1103/PhysRevLett.125.232003	journal	December 2020
Complex conformal spin partial wave expansion of generalized parton distributions and distribution amplitudes Müller, D.; Schäfer, A. Nuclear Physics B, Vol. 739, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2006.01.019	journal	April 2006
Hadron Structure Constantinou, Martha Proceedings of The 32nd International Symposium on Lattice Field Theory — PoS(LATTICE2014) https://doi.org/10.22323/1.214.0001	conference	May 2015
Lattice QCD exploration of parton pseudo-distribution functions Orginos, Kostas; Radyushkin, Anatoly; Karpie, Joseph Physical Review D, Vol. 96, Issue 9 https://doi.org/10.1103/PhysRevD.96.094503	journal	November 2017
Transverse Spin Structure of the Nucleon from Lattice-QCD Simulations Göckeler, M.; Hägler, Ph.; Horsley, R. Physical Review Letters, Vol. 98, Issue 22 https://doi.org/10.1103/PhysRevLett.98.222001	journal	May 2007
Hard exclusive reactions and the structure of hadrons Goeke, K.; Polyakov, M. V.; Vanderhaeghen, M. Progress in Particle and Nuclear Physics, Vol. 47, Issue 2 https://doi.org/10.1016/S0146-6410(01)00158-2	journal	January 2001
First direct lattice-QCD calculation of the $x$ -dependence of the pion parton distribution function Zhang, Jian-Hui; Chen, Jiunn-Wei; Jin, Luchang Physical Review D, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevD.100.034505	journal	August 2019
Transversity GPDs of the proton from lattice QCD Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha Physical Review D, Vol. 105, Issue 3 https://doi.org/10.1103/PhysRevD.105.034501	journal	February 2022
Parton distribution function with nonperturbative renormalization from lattice QCD Chen, Jiunn-Wei; Ishikawa, Tomomi; Jin, Luchang Physical Review D, Vol. 97, Issue 1 https://doi.org/10.1103/PhysRevD.97.014505	journal	January 2018
A complete non-perturbative renormalization prescription for quasi-PDFs Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha Nuclear Physics B, Vol. 923 https://doi.org/10.1016/j.nuclphysb.2017.08.012	journal	October 2017
The continuum and leading twist limits of parton distribution functions in lattice QCD Karpie, Joseph; Orginos, Kostas; Radyushkin, Anatoly Journal of High Energy Physics, Vol. 2021, Issue 11 https://doi.org/10.1007/JHEP11(2021)024	journal	November 2021
Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha Physical Review D, Vol. 99, Issue 11 https://doi.org/10.1103/PhysRevD.99.114504	journal	June 2019
Erratum: Hard photoproduction of a diphoton with a large invariant mass [Phys. Rev. D 96 , 074008 (2017)] Pedrak, A.; Pire, B.; Szymanowski, L. Physical Review D, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevD.100.039901	journal	August 2019
Determination of the Collins-Soper Kernel from Lattice QCD Schlemmer, Maximilian; Vladimirov, Alexey; Zimmermann, Christian Journal of High Energy Physics, Vol. 2021, Issue 8 https://doi.org/10.1007/JHEP08(2021)004	journal	August 2021
Generalized parton distributions in impact parameter space Diehl, M. The European Physical Journal C, Vol. 31, Issue 2 https://doi.org/10.1140/epjc/s2003-01356-4	journal	November 2003
Deconvolution problem of deeply virtual Compton scattering Bertone, V.; Dutrieux, H.; Mezrag, C. Physical Review D, Vol. 103, Issue 11 https://doi.org/10.1103/PhysRevD.103.114019	journal	June 2021
Generalized parton distributions from lattice QCD with asymmetric momentum transfer: Unpolarized quarks Bhattacharya, Shohini; Cichy, Krzysztof; Constantinou, Martha Physical Review D, Vol. 106, Issue 11 https://doi.org/10.1103/PhysRevD.106.114512	journal	December 2022
Nucleon generalized form factors from two-flavor lattice QCD Bali, Gunnar; Collins, Sara; Göckeler, Meinulf Physical Review D, Vol. 100, Issue 1 https://doi.org/10.1103/PhysRevD.100.014507	journal	July 2019
Quasi-parton distribution functions, momentum distributions, and pseudo-parton distribution functions Radyushkin, A. V. Physical Review D, Vol. 96, Issue 3 https://doi.org/10.1103/PhysRevD.96.034025	journal	August 2017
Continuum-extrapolated NNLO valence PDF of the pion at the physical point Gao, Xiang; Hanlon, Andrew D.; Karthik, Nikhil Physical Review D, Vol. 106, Issue 11 https://doi.org/10.1103/PhysRevD.106.114510	journal	December 2022
Chromodynamic lensing and transverse single spin asymmetries Burkardt, Matthias Nuclear Physics A, Vol. 735, Issue 1-2 https://doi.org/10.1016/j.nuclphysa.2004.02.008	journal	April 2004
Flexible parametrization of generalized parton distributions from deeply virtual Compton scattering observables Goldstein, Gary R.; Hernandez, J. Osvaldo Gonzalez; Liuti, Simonetta Physical Review D, Vol. 84, Issue 3 https://doi.org/10.1103/PhysRevD.84.034007	journal	August 2011
Proton and neutron electromagnetic form factors from lattice QCD Alexandrou, C.; Bacchio, S.; Constantinou, M. Physical Review D, Vol. 100, Issue 1 https://doi.org/10.1103/PhysRevD.100.014509	journal	July 2019
Nucleon helicity generalized parton distribution at physical pion mass from lattice QCD Lin, Huey-Wen Physics Letters B, Vol. 824 https://doi.org/10.1016/j.physletb.2021.136821	journal	January 2022
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
Renormalization in Large Momentum Effective Theory of Parton Physics Ji, Xiangdong; Zhang, Jian-Hui; Zhao, Yong Physical Review Letters, Vol. 120, Issue 11 https://doi.org/10.1103/PhysRevLett.120.112001	journal	March 2018
Hard photoproduction of a diphoton with a large invariant mass Pedrak, A.; Pire, B.; Szymanowski, L. Physical Review D, Vol. 96, Issue 7 https://doi.org/10.1103/PhysRevD.96.074008	journal	October 2017
Nucleon generalized parton distributions from full lattice QCD Hägler, Ph.; Schroers, W.; Bratt, J. Physical Review D, Vol. 77, Issue 9 https://doi.org/10.1103/PhysRevD.77.094502	journal	May 2008
Pion valence quark distribution from matrix element calculated in lattice QCD Sufian, Raza Sabbir; Karpie, Joseph; Egerer, Colin Physical Review D, Vol. 99, Issue 7 https://doi.org/10.1103/PhysRevD.99.074507	journal	April 2019
Updates on Nucleon Form Factors from Clover-on-HISQ Lattice Formulation Jang, Yong-Chull; Bhattacharya, Tanmoy; Gupta, Rajan Proceedings of The 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018) https://doi.org/10.22323/1.334.0123	conference	May 2019
Nucleon form factors and moments of generalized parton distributions using $N_{f} = 2 + 1 + 1$ twisted mass fermions Alexandrou, C.; Constantinou, M.; Dinter, S. Physical Review D, Vol. 88, Issue 1 https://doi.org/10.1103/PhysRevD.88.014509	journal	July 2013
One-loop matching for the twist-3 parton distribution $g_{T} (x)$ Bhattacharya, Shohini; Cichy, Krzysztof; Constantinou, Martha Physical Review D, Vol. 102, Issue 3 https://doi.org/10.1103/PhysRevD.102.034005	journal	August 2020
Lattice QCD Calculations of Transverse-Momentum-Dependent Soft Function through Large-Momentum Effective Theory Zhang, Qi-An; Hua, Jun; Huo, Yikai Physical Review Letters, Vol. 125, Issue 19 https://doi.org/10.1103/PhysRevLett.125.192001	journal	November 2020
Valence-quark distribution of the kaon and pion from lattice QCD Lin, Huey-Wen; Chen, Jiunn-Wei; Fan, Zhouyou Physical Review D, Vol. 103, Issue 1 https://doi.org/10.1103/PhysRevD.103.014516	journal	January 2021
Progress in $x$-dependent partonic distributions from lattice QCD Cichy, Krzysztof Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021) https://doi.org/10.22323/1.396.0017	conference	May 2022
Lattice QCD Determination of the Bjorken-𝒙 Dependence of PDFs at NNLO Gao, Xiang; Hanlon, Andrew; Mukherjee, Swagato Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022) https://doi.org/10.22323/1.430.0104	conference	December 2022
Nonperturbative Renormalization of Nonlocal Quark Bilinears for Parton Quasidistribution Functions on the Lattice Using an Auxiliary Field Green, Jeremy; Jansen, Karl; Steffens, Fernanda Physical Review Letters, Vol. 121, Issue 2 https://doi.org/10.1103/PhysRevLett.121.022004	journal	July 2018
Kaon distribution amplitude from lattice QCD and the flavor SU(3) symmetry Zhang, Rui; Chen, Jiunn-Wei; Jin, Luchang Nuclear Physics B, Vol. 939 https://doi.org/10.1016/j.nuclphysb.2018.12.020	journal	February 2019
Flavor Decomposition for the Proton Helicity Parton Distribution Functions Alexandrou, Constantia; Constantinou, Martha; Hadjiyiannakou, Kyriakos Physical Review Letters, Vol. 126, Issue 10 https://doi.org/10.1103/PhysRevLett.126.102003	journal	March 2021
Double Deeply Virtual Compton Scattering off the Nucleon Guidal, M.; Vanderhaeghen, M. Physical Review Letters, Vol. 90, Issue 1 https://doi.org/10.1103/PhysRevLett.90.012001	journal	January 2003
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
Collins-Soper kernel for TMD evolution from lattice QCD Shanahan, Phiala; Wagman, Michael; Zhao, Yong Physical Review D, Vol. 102, Issue 1 https://doi.org/10.1103/PhysRevD.102.014511	journal	July 2020
Matching generalized parton quasidistributions in the RI/MOM scheme Liu, Yu-Sheng; Wang, Wei; Xu, Ji Physical Review D, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevD.100.034006	journal	August 2019
Parton distributions and lattice-QCD calculations: Toward 3D structure Constantinou, Martha; Courtoy, Aurore; Ebert, Markus A. Progress in Particle and Nuclear Physics, Vol. 121 https://doi.org/10.1016/j.ppnp.2021.103908	journal	November 2021
Parton distribution functions from Ioffe time pseudo-distributions Joó, Bálint; Karpie, Joseph; Orginos, Kostas Journal of High Energy Physics, Vol. 2019, Issue 12 https://doi.org/10.1007/JHEP12(2019)081	journal	December 2019
Towards high-precision parton distributions from lattice QCD via distillation Egerer, Colin; Edwards, Robert G.; Kallidonis, Christos Journal of High Energy Physics, Vol. 2021, Issue 11 https://doi.org/10.1007/JHEP11(2021)148	journal	November 2021
Adaptive Aggregation-Based Domain Decomposition Multigrid for the Lattice Wilson--Dirac Operator Frommer, A.; Kahl, K.; Krieg, S. SIAM Journal on Scientific Computing, Vol. 36, Issue 4 https://doi.org/10.1137/130919507	journal	January 2014
Generalized parton distributions in impact parameter space Diehl, M. The European Physical Journal C, Vol. 25, Issue 2 https://doi.org/10.1007/s10052-002-1016-9	journal	September 2002
Probing chiral-even and chiral-odd leading twist quark generalized parton distributions through the exclusive photoproduction of a γρ pair Duplančić, Goran; Nabeebaccus, Saad; Passek-Kumerički, Kornelija Physical Review D, Vol. 107, Issue 9 https://doi.org/10.1103/PhysRevD.107.094023	journal	May 2023
Ioffe-time distributions instead of parton momentum distributions in the description of deep inelastic scattering Braun, V.; Górnicki, P.; Mankiewicz, L. Physical Review D, Vol. 51, Issue 11 https://doi.org/10.1103/PhysRevD.51.6036	journal	June 1995
Impact parameter dependent parton distributions and off-forward parton distributions for ζ→0 Burkardt, Matthias Physical Review D, Vol. 62, Issue 7 https://doi.org/10.1103/PhysRevD.62.071503	journal	September 2000
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
Nucleon Structure Functions from Operator Product Expansion on the Lattice Chambers, A. J.; Horsley, R.; Nakamura, Y. Physical Review Letters, Vol. 118, Issue 24 https://doi.org/10.1103/PhysRevLett.118.242001	journal	June 2017
Extracting parton distribution functions from lattice QCD calculations Ma, Yan-Qing; Qiu, Jian-Wei Physical Review D, Vol. 98, Issue 7 https://doi.org/10.1103/PhysRevD.98.074021	journal	October 2018
Nucleon form factors and root-mean-square radii on a ${(10.8 fm)}^{4}$ lattice at the physical point Shintani, Eigo; Ishikawa, Ken-Ichi; Kuramashi, Yoshinobu Physical Review D, Vol. 99, Issue 1 https://doi.org/10.1103/PhysRevD.99.014510	journal	January 2019
Moments of nucleon generalized parton distributions from lattice QCD Alexandrou, C.; Carbonell, J.; Constantinou, M. Physical Review D, Vol. 83, Issue 11 https://doi.org/10.1103/PhysRevD.83.114513	journal	June 2011
Generalized parton distributions from the off-forward Compton amplitude in lattice QCD Hannaford-Gunn, A.; Can, K. U.; Horsley, R. Physical Review D, Vol. 105, Issue 1 https://doi.org/10.1103/PhysRevD.105.014502	journal	January 2022
Transversity parton distribution functions from lattice QCD Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha Physical Review D, Vol. 98, Issue 9 https://doi.org/10.1103/PhysRevD.98.091503	journal	November 2018
Valence parton distribution function of pion from fine lattice Izubuchi, Taku; Jin, Luchang; Kallidonis, Christos Physical Review D, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevD.100.034516	journal	August 2019
Parametrization of quark and gluon generalized parton distributions in a dynamical framework Kriesten, Brandon; Velie, Philip; Yeats, Emma Physical Review D, Vol. 105, Issue 5 https://doi.org/10.1103/PhysRevD.105.056022	journal	March 2022
Determination of the generalized parton distributions through the analysis of the world electron scattering data considering two-photon exchange corrections Hashamipour, Hadi; Goharipour, Muhammad; Azizi, K. Physical Review D, Vol. 105, Issue 5 https://doi.org/10.1103/PhysRevD.105.054002	journal	March 2022
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
Deeply virtual Compton scattering at small and the access to the GPD H Kumerički, Krešimir; Müller, Dieter Nuclear Physics B, Vol. 841, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2010.07.015	journal	December 2010
The role of zero-mode contributions in the matching for the twist-3 PDFs $e (x)$ and $h_{L} (x)$ Bhattacharya, Shohini; Cichy, Krzysztof; Constantinou, Martha Physical Review D, Vol. 102, Issue 11 https://doi.org/10.1103/PhysRevD.102.114025	journal	December 2020
Lattice QCD calculation of the Collins-Soper kernel from quasi-TMDPDFs Shanahan, Phiala; Wagman, Michael; Zhao, Yong Physical Review D, Vol. 104, Issue 11 https://doi.org/10.1103/PhysRevD.104.114502	journal	December 2021
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
Nonperturbative determination of the Collins-Soper kernel from quasitransverse-momentum-dependent wave functions Chu, Min-Huan; Deng, Zhi-Fu; Hua, Jun Physical Review D, Vol. 106, Issue 3 https://doi.org/10.1103/PhysRevD.106.034509	journal	August 2022
Overview of lattice calculations of the x-dependence of PDFs, GPDs and TMDs Cichy, Krzysztof EPJ Web of Conferences, Vol. 258 https://doi.org/10.1051/epjconf/202225801005	journal	January 2022
Extraction of the proton radius from electron-proton scattering data Lee, Gabriel; Arrington, John R.; Hill, Richard J. Physical Review D, Vol. 92, Issue 1 https://doi.org/10.1103/PhysRevD.92.013013	journal	July 2015
Distribution Amplitudes of $K^{*}$ and $ϕ$ at the Physical Pion Mass from Lattice QCD Hua, Jun; Chu, Min-Huan; Sun, Peng Physical Review Letters, Vol. 127, Issue 6 https://doi.org/10.1103/PhysRevLett.127.062002	journal	August 2021
Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD Müller, D.; Robaschik, D.; Geyer, B. Fortschritte der Physik/Progress of Physics, Vol. 42, Issue 2 https://doi.org/10.1002/prop.2190420202	journal	January 1994
Lattice QCD Study of Transverse-Momentum Dependent Soft Function Li, Yuan; Xia, Shi-Cheng; Alexandrou, Constantia Physical Review Letters, Vol. 128, Issue 6 https://doi.org/10.1103/PhysRevLett.128.062002	journal	February 2022
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
Exclusive production of a pair of high transverse momentum photons in pion-nucleon collisions for extracting generalized parton distributions Qiu, Jian-Wei; Yu, Zhite Journal of High Energy Physics, Vol. 2022, Issue 8 https://doi.org/10.1007/JHEP08(2022)103	journal	August 2022
Pion distribution amplitude from Euclidean correlation functions: Exploring universality and higher-twist effects Bali, Gunnar S.; Braun, Vladimir M.; Gläßle, Benjamin Physical Review D, Vol. 98, Issue 9 https://doi.org/10.1103/PhysRevD.98.094507	journal	November 2018
Isovector axial form factors of the nucleon in two-flavor lattice QCD Capitani, S.; Della Morte, M.; Djukanovic, D. International Journal of Modern Physics A, Vol. 34, Issue 02 https://doi.org/10.1142/S0217751X1950009X	journal	January 2019
Generalized parton distributions and strong forces inside nucleons and nuclei Polyakov, M. V. Physics Letters B, Vol. 555, Issue 1-2 https://doi.org/10.1016/S0370-2693(03)00036-4	journal	February 2003
Erratum: Nucleon form factors and root-mean-square radii on a ${(10.8 fm)}^{4}$ lattice at the physical point [Phys. Rev. D 99 , 014510 (2019)] Shintani, Eigo; Ishikawa, Ken-Ichi; Kuramashi, Yoshinobu Physical Review D, Vol. 102, Issue 1 https://doi.org/10.1103/PhysRevD.102.019902	journal	July 2020
Unpolarized isovector quark distribution function from lattice QCD: A systematic analysis of renormalization and matching Liu, Yu-Sheng; Chen, Jiunn-Wei; Huo, Yi-Kai Physical Review D, Vol. 101, Issue 3 https://doi.org/10.1103/PhysRevD.101.034020	journal	February 2020
Lattice QCD Determination of the Bjorken- x Dependence of Parton Distribution Functions at Next-to-Next-to-Leading Order Gao, Xiang; Hanlon, Andrew D.; Mukherjee, Swagato Physical Review Letters, Vol. 128, Issue 14 https://doi.org/10.1103/PhysRevLett.128.142003	journal	April 2022
Moments of generalized parton distributions and quark angular momentum of the nucleon Ohtani, Munehisa; Broemmel, Dirk; Goeckeler, Meinulf Proceedings of The XXV International Symposium on Lattice Field Theory — PoS(LATTICE 2007) https://doi.org/10.22323/1.042.0158	conference	March 2008
Nucleon electromagnetic form factors using lattice simulations at the physical point Alexandrou, C.; Constantinou, M.; Hadjiyiannakou, K. Physical Review D, Vol. 96, Issue 3 https://doi.org/10.1103/PhysRevD.96.034503	journal	August 2017
Moments of the nucleon transverse quark spin densities using lattice QCD Alexandrou, C.; Bacchio, S.; Constantinou, M. Physical Review D, Vol. 107, Issue 5 https://doi.org/10.1103/PhysRevD.107.054504	journal	March 2023
Accessing proton GPDs in asymmetric frames: Numerical implementation Constantinou, Martha; Bhattacharya, Shohini; Cichy, Krzysztof Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022) https://doi.org/10.22323/1.430.0096	conference	January 2023
Parton distribution functions of $Δ^{+}$ on the lattice Chai, Yahui; Li, Yuan; Xia, Shicheng Physical Review D, Vol. 102, Issue 1 https://doi.org/10.1103/PhysRevD.102.014508	journal	July 2020
GPDs in asymmetric frames Bhattacharya, Shohini; Cichy, Krzysztof; Constantinou, Martha Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022) https://doi.org/10.22323/1.430.0095	conference	January 2023
Parton distribution functions beyond leading twist from lattice QCD: The $h_{L} (x)$ case Bhattacharya, Shohini; Cichy, Krzysztof; Constantinou, Martha Physical Review D, Vol. 104, Issue 11 https://doi.org/10.1103/PhysRevD.104.114510	journal	December 2021
Impact Parameter Space Interpretation for Generalized Parton Distributions Burkardt, Matthias International Journal of Modern Physics A, Vol. 18, Issue 02 https://doi.org/10.1142/S0217751X03012370	journal	January 2003
Single diffractive hard exclusive processes for the study of generalized parton distributions Qiu, Jian-Wei; Yu, Zhite Physical Review D, Vol. 107, Issue 1 https://doi.org/10.1103/PhysRevD.107.014007	journal	January 2023
Pion valence structure from Ioffe-time parton pseudodistribution functions Joó, Bálint; Karpie, Joseph; Orginos, Kostas Physical Review D, Vol. 100, Issue 11 https://doi.org/10.1103/PhysRevD.100.114512	journal	December 2019
Updated lattice results for parton distributions Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha Physical Review D, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRevD.96.014513	journal	July 2017
Extraction of Next-to-Next-to-Leading-Order Parton Distribution Functions from Lattice QCD Calculations Li, Zheng-Yang; Ma, Yan-Qing; Qiu, Jian-Wei Physical Review Letters, Vol. 126, Issue 7 https://doi.org/10.1103/PhysRevLett.126.072001	journal	February 2021
Generalized Parton Distributions: Visions, Basics, and Realities Müller, D. Few-Body Systems, Vol. 55, Issue 5-7 https://doi.org/10.1007/s00601-014-0894-3	journal	May 2014
Flavor nonsinglet parton distribution functions from lattice QCD at physical quark masses via the pseudodistribution approach Bhat, Manjunath; Cichy, Krzysztof; Constantinou, Martha Physical Review D, Vol. 103, Issue 3 https://doi.org/10.1103/PhysRevD.103.034510	journal	February 2021
Next-to-Next-to-Leading Order Calculation of Quasiparton Distribution Functions Chen, Long-Bin; Wang, Wei; Zhu, Ruilin Physical Review Letters, Vol. 126, Issue 7 https://doi.org/10.1103/PhysRevLett.126.072002	journal	February 2021
Parton physics from a heavy-quark operator product expansion: Formalism and Wilson coefficients Detmold, William; Grebe, Anthony V.; Kanamori, Issaku Physical Review D, Vol. 104, Issue 7 https://doi.org/10.1103/PhysRevD.104.074511	journal	October 2021
Burkhardt-Cottingham-type sum rules for light-cone and quasi-PDFs Bhattacharya, Shohini; Metz, Andreas Physical Review D, Vol. 105, Issue 5 https://doi.org/10.1103/PhysRevD.105.054027	journal	March 2022

Similar Records

Transversity GPDs of the proton from lattice QCD

Journal Article · Tue Feb 01 00:00:00 EST 2022 · Physical Review D · OSTI ID:1989980

Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha; +4 more

Generalized parton distributions from lattice QCD with asymmetric momentum transfer: Axial-vector case

Journal Article · Thu Feb 15 00:00:00 EST 2024 · Physical Review. D. · OSTI ID:1989980

Bhattacharya, Shohini; Cichy, Krzysztof; Constantinou, Martha; +8 more

Chiral-even axial twist-3 GPDs of the proton from lattice QCD

Journal Article · Wed Sep 06 00:00:00 EDT 2023 · Physical Review. D. · OSTI ID:1989980

Bhattacharya, Shohini; Cichy, Krzysztof; Constantinou, Martha; +4 more

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Lattice QCD
Nuclear Physics

Title: Moments of proton GPDs from the OPE of nonlocal quark bilinears up to NNLO

Citation Formats

References (149)

Similar Records

Related Subjects