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arXiv · 2204.00200

Nonperturbative Determination of Collins-Soper Kernel from Quasi Transverse-Momentum Dependent Wave Functions

Min-Huan Chu·Zhi-Fu Deng·Jun Hua·Xiangdong Ji·Andreas Schäfer·Yushan Su·Peng Sun·Wei Wang·Yi-Bo Yang·Jun Zeng·Jialu Zhang·Jian-Hui Zhang·Qi-An Zhang
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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 HISQ sea and lattice spacing $a=0.12$~fm from MILC, 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.

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Min-Huan Chu, Zhi-Fu Deng, Jun Hua, Xiangdong Ji, Andreas Schäfer, Yushan Su, Peng Sun, Wei Wang, Yi-Bo Yang, Jun Zeng, Jialu Zhang, Jian-Hui Zhang, Qi-An Zhang. 2022-04-01. Nonperturbative Determination of Collins-Soper Kernel from Quasi Transverse-Momentum Dependent Wave Functions. https://doi.org/10.1103/physrevd.106.034509

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