论文标题
阈值极限的横向动量依赖分布函数
Transverse momentum dependent distribution functions in the threshold limit
论文作者
论文摘要
我们应用关节阈值和横向动量依赖性(TMD)分解定理来引入新的阈值-TMD分布函数,包括阈值-TMD Parton分布函数(PDFS)和片段化函数(FFS)。我们应用软共线有效理论和重新归一化组方法来对阈值-TMD PDF和FFS进行QCD进化。我们显示了三个标准过程中阈值-TMD功能的普遍性,即$ pp $碰撞中的DRELL-YAN产量,半包含的深度无弹性散射和背靠背的两种强子在$ e^+E^ - $ collisions中的背靠背生产。最后,我们介绍了不同阈值-TMD函数的数值预测以及$ pp $,$ ep $和$ e^+e^ - $ collisions的横向动量分布。
We apply the joint threshold and transverse momentum dependent (TMD) factorization theorem to introduce new threshold-TMD distribution functions, including threshold-TMD parton distribution functions (PDFs) and fragmentation functions (FFs). We apply Soft-Collinear Effective Theory and renormalization group methods to carry out QCD evolution for both threshold-TMD PDFs and FFs. We show the universality of threshold-TMD functions among three standard processes, i.e. the Drell-Yan production in $pp$ collisions, semi-inclusive deep-inelastic scattering and back-to-back two hadron production in $e^+e^-$ collisions. In the end, we present the numerical predictions for different threshold-TMD functions and also transverse momentum distributions at $pp$, $ep$, and $e^+e^-$ collisions.