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Lattice calculation of the intrinsic soft function and the Collins-Soper kernel
Chu, Min-Huan, He, Jin-Chen, Hua, Jun, Liang, Jian, Ji, Xiangdong, Schäfer, Andreas
, Shu, Hai-Tao
, Su, Yushan, Walter, Lisa, Wang, Wei
, Wang, Ji-Hao, Yang, Yi-Bo, Zeng, Jun and Zhang, Qi-An
(2023)
Lattice calculation of the intrinsic soft function and the Collins-Soper kernel.
Journal of High Energy Physics 2023 (8), p. 172.
Date of publication of this fulltext: 08 Feb 2024 13:45
Article
DOI to cite this document: 10.5283/epub.55442
Abstract
We calculate the soft function using lattice QCD in the framework of large momentum effective theory incorporating the one-loop perturbative contributions. The soft function is a crucial ingredient in the lattice determination of light cone objects using transverse-momentum-dependent (TMD) factorization. It consists of a rapidity-independent part called intrinsic soft function and a ...
We calculate the soft function using lattice QCD in the framework of large momentum effective theory incorporating the one-loop perturbative contributions. The soft function is a crucial ingredient in the lattice determination of light cone objects using transverse-momentum-dependent (TMD) factorization. It consists of a rapidity-independent part called intrinsic soft function and a rapidity-dependent part called Collins-Soper kernel. We have adopted appropriate normalization when constructing the pseudoscalar meson form factor that is needed in the determination of the intrinsic part and applied Fierz rearrangement to suppress the higher-twist effects. In the calculation of CS kernel we consider a CLS ensemble other than the MILC ensemble used in a previous study. We have also compared the applicability of determining the CS kernel using quasi TMDWFs and quasi TMDPDFs. As an example, the determined soft function is used to obtain the physical TMD wave functions (WFs) of pion and unpolarized iso-vector TMD parton distribution functions (PDFs) of proton.
Involved Institutions
Details
| Item type | Article | ||||
| Journal or Publication Title | Journal of High Energy Physics | ||||
| Publisher: | Springer | ||||
|---|---|---|---|---|---|
| Volume: | 2023 | ||||
| Number of Issue or Book Chapter: | 8 | ||||
| Page Range: | p. 172 | ||||
| Date | 25 August 2023 | ||||
| Institutions | Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer | ||||
| Identification Number |
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| Keywords | Hadronic Spectroscopy, Structure and Interactions, Lattice QCD, Parton Distributions, Effective Field Theories of QCD | ||||
| Dewey Decimal Classification | 500 Science > 530 Physics | ||||
| Status | Published | ||||
| Refereed | Yes, this version has been refereed | ||||
| Created at the University of Regensburg | Partially | ||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-554426 | ||||
| Item ID | 55442 |
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