Nonperturbative determination of the Collins-Soper kernel from quasitransverse-momentum-dependent wave functions

Chu, Min-Huan and Deng, Zhi-Fu and Hua, Jun and Ji, Xiangdong and Schaefer, Andreas and Su, Yushan and Sun, Peng and Wang, Wei and Yang, Yi-Bo and Zeng, Jun and Zhang, Jialu and Zhang, Jian-Hui and Zhang, Qi-An (2022) Nonperturbative determination of the Collins-Soper kernel from quasitransverse-momentum-dependent wave functions. PHYSICAL REVIEW D, 106 (3): 034509. ISSN 2470-0010, 2470-0029

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Abstract

In the framework of large-momentum effective theory at one-loop matching accuracy, we perform a lattice calculation of the Collins-Soper kernel, which governs the rapidity evolution of transverse-momentum-dependent (TMD) distributions. We first obtain the quasi-TMD wave functions at three different meson momenta, on a lattice with valence clover quarks on a dynamical highly improved staggered quark sea and lattice spacing a = 0.12 fm from the MILC Collaboration, and renormalize the pertinent linear divergences using Wilson loops. Through one-loop matching to the light-cone wave functions, we determine the Collins-Soper kernel with transverse separation up to 0.6 fm. We study the systematic uncertainties from operator mixing and scale dependence, as well as the impact from higher power corrections. Our results potentially allow for a determination of the soft function and other transverse-momentum-dependent quantities at one-loop accuracy.

Item Type: Article
Uncontrolled Keywords: TO-BACK JETS; LATTICE; MASS; QCD;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer
Depositing User: Dr. Gernot Deinzer
Date Deposited: 29 Jan 2024 09:20
Last Modified: 29 Jan 2024 13:15
URI: https://pred.uni-regensburg.de/id/eprint/58751

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