Nucleon Transversity Distribution in the Continuum and Physical Mass Limit from Lattice QCD

Open Access

Nucleon Transversity Distribution in the Continuum and Physical Mass Limit from Lattice QCD

Fei Yao, Lisa Walter, Jiunn-Wei Chen, Jun Hua, Xiangdong Ji, Luchang Jin, Sebastian Lahrtz, Lingquan Ma, Protick Mohanta, Andreas Schäfer, Hai-Tao Shu, Yushan Su, Peng Sun, Xiaonu Xiong, Yi-Bo Yang, and Jian-Hui Zhang (Lattice Parton Collaboration)

Phys. Rev. Lett. 131, 261901 – Published 26 December 2023

Abstract

We report a state-of-the-art lattice QCD calculation of the isovector quark transversity distribution of the proton in the continuum and physical mass limit using large-momentum effective theory. The calculation is done at four lattice spacings $a = {0.098, 0.085, 0.064, 0.049} fm$ and various pion masses ranging between 220 and 350 MeV, with proton momenta up to 2.8 GeV. The result is nonperturbatively renormalized in the hybrid scheme with self-renormalization, which treats the infrared physics at large correlation distance properly, and extrapolated to the continuum, physical mass, and infinite momentum limit. We also compare with recent global analyses for the nucleon isovector quark transversity distribution.

Received 28 July 2022
Revised 17 October 2023
Accepted 17 November 2023

DOI:https://doi.org/10.1103/PhysRevLett.131.261901

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Lattice QCD Parton distribution functions

Particles & Fields

Authors & Affiliations

Fei Yao², Lisa Walter³, Jiunn-Wei Chen^4,5, Jun Hua^6,7, Xiangdong Ji⁸, Luchang Jin^9,10, Sebastian Lahrtz³, Lingquan Ma², Protick Mohanta^2,11, Andreas Schäfer³, Hai-Tao Shu³, Yushan Su⁸, Peng Sun^12,13,*, Xiaonu Xiong^1,†, Yi-Bo Yang^14,15,16,17, and Jian-Hui Zhang^18,2 (Lattice Parton Collaboration)

¹School of Physics, Central South University, Changsha 418003, China
²Center of Advanced Quantum Studies, Department of Physics, Beijing Normal University, Beijing 100875, China
³Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany
⁴Department of Physics, Center for Theoretical Physics, and Leung Center for Cosmology and Particle Astrophysics, National Taiwan University, Taipei 10617, Taiwan
⁵Physics Division, National Center for Theoretical Sciences, Taipei 10617, Taiwan
⁶Guangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal University, Guangzhou 510006, China
⁷Guangdong-Hong Kong Joint Laboratory of Quantum Matter, Southern Nuclear Science Computing Center, South China Normal University, Guangzhou 510006, China
⁸Department of Physics, University of Maryland, College Park, Maryland 20742, USA
⁹Physics Department, University of Connecticut, Storrs, Connecticut 06269-3046, USA
¹⁰RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, USA
¹¹School of Physical Sciences, National Institute of Science Education and Research, HBNI, Odisha 752050, India
¹²Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, Gansu Province 730000, China
¹³Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing, Jiangsu 210023, China
¹⁴CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
¹⁵School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, Hangzhou 310024, China
¹⁶International Centre for Theoretical Physics Asia-Pacific, Beijing/Hangzhou, China
¹⁷University of Chinese Academy of Sciences, School of Physical Sciences, Beijing 100049, China
¹⁸School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen 518172, China

^*Corresponding author: pengsun@impcas.ac.cn
^†Corresponding author: xnxiong@csu.edu.cn

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Issue

Vol. 131, Iss. 26 — 29 December 2023

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