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Zhang R, Lin HW, Yoon B. Probing nucleon strange and charm distributions with lattice QCD. Int J Clin Exp Med 2021. [DOI: 10.1103/physrevd.104.094511] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Lin HW. Nucleon Tomography and Generalized Parton Distribution at Physical Pion Mass from Lattice QCD. PHYSICAL REVIEW LETTERS 2021; 127:182001. [PMID: 34767417 DOI: 10.1103/physrevlett.127.182001] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/08/2021] [Accepted: 09/28/2021] [Indexed: 06/13/2023]
Abstract
We present the first lattice calculation of the nucleon isovector unpolarized generalized parton distribution at the physical pion mass using a lattice ensemble with 2+1+1 flavors of highly improved staggered quarks generated by the MILC Collaboration, with lattice spacing a≈0.09 fm and volume 64^{3}×96. We use momentum-smeared sources to improve the signal at nucleon boost momentum P_{z}≈2.2 GeV and report results at nonzero momentum transfers in [0.2,1.0] GeV^{2}. Nonperturbative renormalization in a regularization-independent momentum-subtraction scheme is used to obtain the quasidistribution before matching to the light-cone generalized parton distributions. The three-dimensional distributions H(x,Q^{2}) and E(x,Q^{2}) at ξ=0 are presented, along with the three-dimensional nucleon tomography and impact parameter-dependent distribution for selected Bjorken x at μ=3 GeV in a modified minimal subtraction scheme.
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Affiliation(s)
- Huey-Wen Lin
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Computational Mathematics, Science and Engineering, Michigan State University, East Lansing, Michigan 48824, USA
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Constantinou M. The x-dependence of hadronic parton distributions: A review on the progress of lattice QCD. THE EUROPEAN PHYSICAL JOURNAL. A, HADRONS AND NUCLEI 2021; 57:77. [PMID: 33654456 PMCID: PMC7905977 DOI: 10.1140/epja/s10050-021-00353-7] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 10/14/2020] [Accepted: 01/13/2021] [Indexed: 06/12/2023]
Abstract
In this article, we review recent lattice calculations on the x-dependence of parton distributions, with the latter providing information on hadron structure. These calculations are based on matrix elements of boosted hadrons coupled to non-local operators and can be related to the standard, light-cone distribution functions via an appropriate factorization formalism. There is significant progress in several directions, including calculations of flavor-singlet parton distribution functions (PDFs), first calculations of generalized parton distributions (GPDs), as well as the implementation of some of the approaches for the transverse-momentum-dependent PDFs (TMD PDFs). This new direction of lattice calculations is particularly interesting for phenomenological fits on experimental data sets, as the lattice results can help improve the constraints on the distribution functions.
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Bhat M, Cichy K, Constantinou M, Scapellato A. Flavor nonsinglet parton distribution functions from lattice QCD at physical quark masses via the pseudodistribution approach. Int J Clin Exp Med 2021. [DOI: 10.1103/physrevd.103.034510] [Citation(s) in RCA: 19] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Li ZY, Ma YQ, Qiu JW. Extraction of Next-to-Next-to-Leading-Order Parton Distribution Functions from Lattice QCD Calculations. PHYSICAL REVIEW LETTERS 2021; 126:072001. [PMID: 33666473 DOI: 10.1103/physrevlett.126.072001] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/02/2020] [Revised: 10/05/2020] [Accepted: 11/29/2020] [Indexed: 06/12/2023]
Abstract
We present for the first time complete next-to-next-to-leading-order coefficient functions to match flavor nonsinglet quark correlation functions in position space, which are calculable in lattice QCD, to parton distribution functions (PDFs). Using PDFs extracted from experimental data and our calculated matching coefficients, we predict valence-quark correlation functions that can be confronted by lattice QCD calculations. The uncertainty of our predictions is greatly reduced with higher order matching coefficients. By performing Fourier transformation, we also obtain matching coefficients for corresponding quasi-PDFs and pseudo-PDFs. Our method of calculations can be readily generalized to evaluate the matching coefficients for sea-quark and gluon correlation functions, making the program to extract partonic structure of hadrons from lattice QCD calculations comparable with and complementary to that from experimental measurements.
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Affiliation(s)
- Zheng-Yang Li
- School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China
| | - Yan-Qing Ma
- School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China
- Center for High Energy physics, Peking University, Beijing 100871, China
- Collaborative Innovation Center of Quantum Matter, Beijing 100871, China
| | - Jian-Wei Qiu
- Theory Center, Jefferson Lab, 12000 Jefferson Avenue, Newport News, Virginia 23606, USA
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Joó B, Karpie J, Orginos K, Radyushkin AV, Richards DG, Zafeiropoulos S. Parton Distribution Functions from Ioffe Time Pseudodistributions from Lattice Calculations: Approaching the Physical Point. PHYSICAL REVIEW LETTERS 2020; 125:232003. [PMID: 33337179 DOI: 10.1103/physrevlett.125.232003] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/09/2020] [Revised: 07/27/2020] [Accepted: 09/09/2020] [Indexed: 06/12/2023]
Abstract
We present results for the unpolarized parton distribution function of the nucleon computed in lattice QCD at the physical pion mass. This is the first study of its kind employing the method of Ioffe time pseudodistributions. Beyond the reconstruction of the Bjorken-x dependence, we also extract the lowest moments of the distribution function using the small Ioffe time expansion of the Ioffe time pseudodistribution. We compare our findings with the pertinent phenomenological determinations.
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Affiliation(s)
- Bálint Joó
- Oak Ridge Leadership Facility, Oak Ridge National Laboratory, One Bethel Valley Road, Oak Ridge, Tennessee 37831, USA
- Thomas Jefferson National Accelerator Facility, Newport News, Virginia 23606, USA
| | - Joseph Karpie
- Physics Department, Columbia University, New York City, New York 10027, USA
| | - Kostas Orginos
- Thomas Jefferson National Accelerator Facility, Newport News, Virginia 23606, USA
- Physics Department, College of William and Mary, Williamsburg, Virginia 23187, USA
| | - Anatoly V Radyushkin
- Thomas Jefferson National Accelerator Facility, Newport News, Virginia 23606, USA
- Physics Department, Old Dominion University, Norfolk, Virginia 23529, USA
| | - David G Richards
- Thomas Jefferson National Accelerator Facility, Newport News, Virginia 23606, USA
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Liu KF. Parton degrees of freedom in PDFs from the hadronic tensor and large momentum effective theory. Int J Clin Exp Med 2020. [DOI: 10.1103/physrevd.102.074502] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Liu YS, Wang W, Xu J, Zhang QA, Zhao S, Zhao Y. Matching the meson quasidistribution amplitude in the RI/MOM scheme. Int J Clin Exp Med 2019. [DOI: 10.1103/physrevd.99.094036] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Zhang JH, Ji X, Schäfer A, Wang W, Zhao S. Accessing Gluon Parton Distributions in Large Momentum Effective Theory. PHYSICAL REVIEW LETTERS 2019; 122:142001. [PMID: 31050468 DOI: 10.1103/physrevlett.122.142001] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/19/2018] [Revised: 01/13/2019] [Indexed: 06/09/2023]
Abstract
Gluon parton distribution functions (PDFs) in the proton can be calculated directly on Euclidean lattices using large momentum effective theory (LaMET). To realize this goal, one has to find renormalized gluon quasi-PDFs in which power divergences and operator mixing are thoroughly understood. For the unpolarized distribution, we identify four independent quasi-PDF correlators that can be multiplicatively renormalized on the lattice. Similarly, the helicity distribution can be derived from three independent multiplicatively renormalizable quasi-PDFs. We provide a LaMET factorization formula for these renormalized quasi-PDFs from which one can extract the gluon PDFs.
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Affiliation(s)
- Jian-Hui Zhang
- Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany
| | - Xiangdong Ji
- Tsung-Dao Lee Institute, and School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, China
- Maryland Center for Fundamental Physics, Department of Physics, University of Maryland, College Park, Maryland 20742, USA
| | - Andreas Schäfer
- Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany
| | - Wei Wang
- SKLPPC, MOE KLPPC, School of Physics and Astronomy, Shanghai Jiao Tong University, 800 Dongchuan RD, Shanghai, 200240, China
| | - Shuai Zhao
- SKLPPC, MOE KLPPC, School of Physics and Astronomy, Shanghai Jiao Tong University, 800 Dongchuan RD, Shanghai, 200240, China
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Li ZY, Ma YQ, Qiu JW. Multiplicative Renormalizability of Operators defining Quasiparton Distributions. PHYSICAL REVIEW LETTERS 2019; 122:062002. [PMID: 30822040 DOI: 10.1103/physrevlett.122.062002] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/17/2018] [Indexed: 06/09/2023]
Abstract
Extracting parton distribution functions (PDFs) from lattice QCD calculation of quasi-PDFs has been actively pursued in recent years. We extend our proof of the multiplicative renormalizability of the quasiquark operators of Ishikawa et al. [Phys Rev. D 96, 094019 (2017)] to quasigluon operators, and demonstrated that quasigluon operators could be multiplicatively renormalized to all orders in perturbation theory, without mixing with other operators. We find that using a gauge-invariant UV regulator is essential for achieving this proof. With the multiplicative renormalizability of both quasiquark and quasigluon operators, and QCD collinear factorization of hadronic matrix elements of there operators into PDFs, extracting PDFs from lattice QCD calculated hadronic matrix elements of quasiparton operators could have a solid theoretical foundation.
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Affiliation(s)
- Zheng-Yang Li
- School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China
| | - Yan-Qing Ma
- School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China
- Center for High Energy physics, Peking University, Beijing 100871, China
- Collaborative Innovation Center of Quantum Matter, Beijing 100871, China
| | - Jian-Wei Qiu
- Theory Center, Jefferson Lab, 12000 Jefferson Avenue, Newport News, Virginia 23606, USA
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