Non-perturbative Collins-Soper kernel: Chiral quarks and Coulomb-gauge-fixed quasi-TMD

Swagato Mukherjee, Dennis Bollweg, Xiang Gao, Yong Zhao
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Abstract

We present the first lattice QCD calculation of the rapidity anomalous dimension of transverse-momentum-dependent distributions (TMDs), i.e. the Collins-Soper (CS) kernel, employing the recently proposed Coulomb-gauge-fixed quasi-TMD formalism as well as a chiral-symmetry preserving lattice discretization. This unitary lattice calculation is conducted using the domain wall fermion discretization scheme, a fine lattice spacing of approximately 0.08 fm, and physical values for light and strange quark masses. The CS kernel is determined analyzing the ratios of pion quasi-TMD wave functions (quasi-TMDWFs) at next-to-leading logarithmic (NLL) perturbative accuracy. Thanks to the absence of Wilson-lines, the Coulomb-gauge-fixed quasi-TMDWF demonstrates a remarkably slower decay of signals with increasing quark separations. This allows us to access the non-perturbative CS kernel up to transverse separations of 1 fm. For small transverse separations, our results agree well with perturbative predictions. At larger transverse separations, our non-perturbative CS kernel clearly favors certain global fits.
非微扰柯林斯-索珀内核:手性夸克与库仑定律固定准 TMD
我们采用最近提出的库仑-量规-固定准TMD形式主义以及保持手性对称的晶格离散化,首次提出了横向动量相关分布(TMDs)(即柯林斯-索珀(CS)核)的快速性反常尺寸的晶格QCD计算。这种单元晶格计算采用域墙费米子离散化方案、约 0.08 fm 的精细晶格间距以及轻夸克和奇异夸克质量的物理值。由于不存在威尔逊线,库仑定律固定的准TMDWF显示出随着夸克间隔的增加,信号的衰减速度明显减慢。这使我们能够获得横向间隔达 1 fm 的非微扰 CS 核。对于较小的横向间隔,我们的结果与微扰预测一致。在较大的横向间隔下,我们的非微扰CS核明显倾向于某些全局拟合。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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