论文标题
n $^3 $ lo的未脱脂夸克和gluon tmd pdfs和ffs
Unpolarized Quark and Gluon TMD PDFs and FFs at N$^3$LO
论文作者
论文摘要
在本文中，我们通过分析计算非极化的夸克和Gluon横向肌的摄动匹配系数（TMD）Parton分布函数（PDFS）和片段化函数（FFS）通过QCD中的近代到next到next到next到next-next到next到next to-Next到next到next to-next到n $^3 $ lo）。 n $^3 $ lo tmd PDF是通过求解Feynman和相位空间积分的微分方程的系统来计算的。通过正确解释TMD PDF和FFS的概率解释，通过从类似太空的数量到类似时间的量来获得TMD FFS。 TMD FFS的系数函数在小动量分数$ z $时表现出双对数增强功能。我们在$α_s$的扩展中将这种对数术语恢复到第三阶。我们的结果构成了当前和将来的实验中TMD PDF和FFS精确确定的重要成分。
In this paper we calculate analytically the perturbative matching coefficients for unpolarized quark and gluon Transverse-Momentum-Dependent (TMD) Parton Distribution Functions (PDFs) and Fragmentation Functions (FFs) through Next-to-Next-to-Next-to-Leading Order (N$^3$LO) in QCD. The N$^3$LO TMD PDFs are calculated by solving a system of differential equation of Feynman and phase space integrals. The TMD FFs are obtained by analytic continuation from space-like quantities to time-like quantities, taking into account the probability interpretation of TMD PDFs and FFs properly. The coefficient functions for TMD FFs exhibit double logarithmic enhancement at small momentum fraction $z$. We resum such logarithmic terms to the third order in the expansion of $α_s$. Our results constitute important ingredients for precision determination of TMD PDFs and FFs in current and future experiments.
