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Hua J, Chu MH, He FC, He JC, Ji X, Schäfer A, Su Y, Sun P, Wang W, Xu J, Yang YB, Yao F, Zhang JH, Zhang QA. Pion and Kaon Distribution Amplitudes from Lattice QCD. PHYSICAL REVIEW LETTERS 2022; 129:132001. [PMID: 36206420 DOI: 10.1103/physrevlett.129.132001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/28/2022] [Revised: 09/04/2022] [Accepted: 09/08/2022] [Indexed: 06/16/2023]
Abstract
We present a state-of-the-art lattice QCD calculation of the pion and kaon light-cone distribution amplitudes (DAs) using large-momentum effective theory. The calculation is done at three lattice spacings a≈{0.06,0.09,0.12} fm and physical pion and kaon masses, with the meson momenta P_{z}={1.29,1.72,2.15} GeV. The result is nonperturbatively renormalized in a recently proposed hybrid scheme with self-renormalization, and extrapolated reliably to the continuum as well as the infinite momentum limit. We find a significant deviation of the pion and kaon DAs from the asymptotic form, and a large SU(3) flavor breaking effect in the kaon DA.
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Affiliation(s)
- Jun Hua
- Guangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal University, Guangzhou 510006, China
- Guangdong-Hong Kong Joint Laboratory of Quantum Matter, Southern Nuclear Science Computing Center, South China Normal University, Guangzhou 510006, China
- INPAC, Shanghai Key Laboratory for Particle Physics and Cosmology, Key Laboratory for Particle Astrophysics and Cosmology (MOE), School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
| | - Min-Huan Chu
- INPAC, Shanghai Key Laboratory for Particle Physics and Cosmology, Key Laboratory for Particle Astrophysics and Cosmology (MOE), School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
- Yang Yuanqing Scientic Computering Center, Tsung-Dao Lee Institute, Shanghai Jiao Tong University, Shanghai 200240, China
| | - Fang-Cheng He
- CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - Jin-Chen He
- School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
- Department of Physics, University of Maryland, College Park, Maryland 20742, USA
| | - Xiangdong Ji
- Department of Physics, University of Maryland, College Park, Maryland 20742, USA
| | - Andreas Schäfer
- Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany
| | - Yushan Su
- Department of Physics, University of Maryland, College Park, Maryland 20742, USA
| | - Peng Sun
- Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing, Jiangsu, 210023, China
| | - Wei Wang
- INPAC, Shanghai Key Laboratory for Particle Physics and Cosmology, Key Laboratory for Particle Astrophysics and Cosmology (MOE), School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
| | - Ji Xu
- INPAC, Shanghai Key Laboratory for Particle Physics and Cosmology, Key Laboratory for Particle Astrophysics and Cosmology (MOE), School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
- School of Physics and Microelectronics, Zhengzhou University, Zhengzhou, Henan 450001, China
| | - Yi-Bo Yang
- CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
- School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, Hangzhou 310024, China
- International Centre for Theoretical Physics Asia-Pacific, Beijing/Hangzhou, China
- School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
| | - Fei Yao
- Center of Advanced Quantum Studies, Department of Physics, Beijing Normal University, Beijing 100875, China
| | - Jian-Hui Zhang
- Center of Advanced Quantum Studies, Department of Physics, Beijing Normal University, Beijing 100875, China
- School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen 518172, China
| | - Qi-An Zhang
- School of Physics, Beihang University, Beijing 102206, China
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Gao X, Hanlon AD, Mukherjee S, Petreczky P, Scior P, Syritsyn S, Zhao Y. Lattice QCD Determination of the Bjorken-x Dependence of Parton Distribution Functions at Next-to-Next-to-Leading Order. PHYSICAL REVIEW LETTERS 2022; 128:142003. [PMID: 35476471 DOI: 10.1103/physrevlett.128.142003] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/16/2021] [Revised: 02/04/2022] [Accepted: 03/10/2022] [Indexed: 06/14/2023]
Abstract
We report the first lattice QCD calculation of pion valence quark distribution with next-to-next-to-leading order perturbative matching correction, which is done using two fine lattices with spacings a=0.04 and 0.06 fm and valence pion mass m_{π}=300 MeV, at boost momentum as large as 2.42 GeV. As a crucial step to control the systematics, we renormalize the pion valence quasidistribution in the recently proposed hybrid scheme, which features a Wilson-line mass subtraction at large distances in coordinate space, and develop a procedure to match it to the MS[over ¯] scheme. We demonstrate that the renormalization and the perturbative matching in Bjorken-x space yield a reliable determination of the valence quark distribution for 0.03≲x≲0.80 with 5%-20% uncertainties.
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Affiliation(s)
- Xiang Gao
- Key Laboratory of Quark & Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China
| | - Andrew D Hanlon
- Physics Department, Brookhaven National Laboratory, Building 510A, Upton, New York 11973, USA
| | - Swagato Mukherjee
- Physics Department, Brookhaven National Laboratory, Building 510A, Upton, New York 11973, USA
| | - Peter Petreczky
- Physics Department, Brookhaven National Laboratory, Building 510A, Upton, New York 11973, USA
| | - Philipp Scior
- Physics Department, Brookhaven National Laboratory, Building 510A, Upton, New York 11973, USA
| | - Sergey Syritsyn
- RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, USA
- Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11790, USA
| | - Yong Zhao
- Physics Division, Argonne National Laboratory, Lemont, Illinois 60439, USA
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