Transverse-momentum-dependent wave functions of the pion from lattice QCD

Author:

Chu Min-Huan12ORCID,He Jin-Chen13ORCID,Hua Jun45ORCID,Liang Jian45,Ji Xiangdong3,Schäfer Andreas6,Shu Hai-Tao6ORCID,Su Yushan3ORCID,Wang Ji-Hao78,Wang Wei19,Yang Yi-Bo781011,Zeng Jun1ORCID,Zhang Jian-Hui1213ORCID,Zhang Qi-An14ORCID,

Affiliation:

1. 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

2. Yang Yuanqing Scientific Computering Center, Tsung-Dao Lee Institute, Shanghai Jiao Tong University, Shanghai 200240, China

3. Department of Physics, University of Maryland, College Park, Maryland 20742, USA

4. Key Laboratory of Atomic and Subatomic Structure and Quantum Control (MOE), Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, Institute of Quantum Matter, South China Normal University, Guangzhou 510006, China

5. Guangdong-Hong Kong Joint Laboratory of Quantum Matter, Guangdong Provincial Key Laboratory of Nuclear Science, Southern Nuclear Science Computing Center, South China Normal University, Guangzhou 510006, China

6. Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany

7. CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China

8. School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, Hangzhou 310024, China

9. Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences, Huizhou 516000, Guangdong Province, China

10. International Centre for Theoretical Physics Asia-Pacific, Beijing/Hangzhou, China

11. School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

12. School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen 518172, China

13. Center of Advanced Quantum Studies, Department of Physics, Beijing Normal University, Beijing 100875, China

14. School of Physics, Beihang University, Beijing 102206, China

Abstract

We present a lattice QCD calculation of the transverse-momentum-dependent wave function (TMDWF) of the pion using large-momentum effective theory. Numerical simulations are based on one ensemble with 2+1+1 flavors of highly improved staggered quarks with lattice spacing a=0.121fm from the MILC collaboration, and one with 2+1 flavor clover fermions and tree-level Symanzik gauge action generated by the CLS collaboration with a=0.098fm. As a key ingredient, the soft function is first obtained by incorporating the one-loop perturbative contributions and a proper normalization. Based on this and the equal-time quasi-TMDWF simulated on the lattice, we extract the TMDWF. The results for both lattice ensembles are compatible and a comparison with a phenomenological parametrization is made. Our studies provide a first attempt of calculation of TMDWFs which will eventually lead to crucial theory inputs for making predictions for exclusive processes under QCD factorization. Published by the American Physical Society 2024

Funder

National Natural Science Foundation of China

Shanghai Jiao Tong University

Basic and Applied Basic Research Foundation of Guangdong Province

Chinese Academy of Sciences

China Postdoctoral Science Foundation

Deutsche Forschungsgemeinschaft

Southern Nuclear Science Computing Center

Advanced Computing East China Sub-center

Publisher

American Physical Society (APS)

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