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

Chu, Min-Huan and He, Jin-Chen and Hua, Jun and Liang, Jian and Ji, Xiangdong and Schaefer, Andreas and Shu, Hai-Tao and Su, Yushan and Wang, Ji-Hao and Wang, Wei and Yang, Yi-Bo and Zeng, Jun and Zhang, Jian-Hui and Zhang, Qi-An (2024) Transverse-momentum-dependent wave functions of the pion from lattice QCD. PHYSICAL REVIEW D, 109 (9): L091503. ISSN 2470-0010, 2470-0029

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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 = 0.121 fm 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 = 0.098 fm. 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 ab initio calculation of TMDWFs which will eventually lead to crucial theory inputs for making predictions for exclusive processes under QCD factorization.

Item Type: Article
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer
Depositing User: Dr. Gernot Deinzer
Date Deposited: 29 Oct 2025 07:23
Last Modified: 29 Oct 2025 07:23
URI: https://pred.uni-regensburg.de/id/eprint/65357

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