标题： 带重胶子的部分子分布和碎裂函数 显示英文标题

标题： Parton distribution and fragmentation functions with massive gluons

摘要： 正确描述强子的结构需要理解夸克和胶子如何形成可观察的强子，以及它们在其中的分布情况。 两个关键的非微扰量概括了这些信息：部分子分布函数（PDFs）和碎裂函数（FFs）。 前者定义了强子内部分子的概率轻锥动量分布，而后者描述了高能部分子的强子化过程。 解析计算这些函数面临重大挑战，因为它需要准确包含量子色动力学（QCD）的非微扰红外动力学的模型。 在这项工作中，我们使用Curci-Ferrari（CF）模型计算介子的PDF及其基本和完整FFs。 该模型通过在Landau规范QCD拉格朗日量中引入胶子质量尺度，使非微扰QCD效应的探索成为可能。 从CF模型导出的两点夸克和胶子关联函数与格点QCD结果很好地一致，并在手征极限下再现介子衰变常数，与手征微扰理论一致。 使用CF夸克传播器和介子Bethe-Salpeter振幅计算得到的介子PDF和FFs与Qin-Chang模型的结果在定性和定量上都很好一致，Qin-Chang模型是非微扰QCD的一种基准方法。 这些发现支持Curci-Ferrari模型在强子现象学中的更广泛应用。 显示英文摘要

摘要： The correct description of the hadron's structure requires understanding how quarks and gluons form the observable hadrons and how they are distributed within them. Two key nonperturbative quantities encapsulate this information: parton distribution functions (PDFs) and fragmentation functions (FFs). The former define a probabilistic light-front momentum distribution of partons within a hadron, whereas the latter describe the hadronization process of high-energy partons. Computing these functions analytically poses significant challenges, as it demands models that accurately incorporate the nonperturbative infrared dynamics of Quantum Chromodynamics (QCD). In this work, we compute the pion PDF and its elementary and full FFs using the Curci-Ferrari (CF) model. This model enables the exploration of nonperturbative QCD effects by introducing a gluon-mass scale within the Landau gauge QCD Lagrangian. The two-point quark and gluon correlation functions derived from the CF model agree well with lattice QCD results and reproduce the pion decay constant in the chiral limit, consistent with chiral perturbation theory. The resulting pion PDF and FFs computed with the CF quark propagator and pion Bethe-Salpeter amplitude are in good qualitative and quantitative agreement with those obtained using the Qin-Chang model, a benchmark approach to nonperturbative QCD. These findings support the broader applicability of the Curci-Ferrari model in hadron phenomenology.