The Collins-Soper kernel relates transverse momentum-dependent parton distribution functions (TMDPDFs) at different energy scales. For small parton transverse momentum $q_T\sim {\Lambda }_{\mathrm{\text{QCD}}}$, this kernel is non-perturbative and can only be determined with controlled uncertainties through experiment or first-principles calculations. This work presents the first exploratory determination of the Collins-Soper kernel using the lattice formulation of Quantum Chromodynamics. In a quenched calculation, the $N_f=0$ kernel is determined at scales in the range 250 MeV $

中文翻译：

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Collins-Soper内核，用于从点阵QCD演变为TMD

Collins-Soper核将横向能量依赖的Parton分布函数（TMDPDF）与不同的能量尺度相关联。对于小部分横向动量$q_{Ť}〜{\Lambda }_{\mathrm{\text{QCD}}}$，该内核是非摄动的，只能通过实验或第一性原理计算以可控制的不确定性确定。这项工作提出了使用量子色动力学的晶格公式对Collins-Soper核进行的首次探索性测定。在淬灭计算中，${ñ}_F=0$ 内核的确定范围为250 MeV