论文标题
thr $^3 $ lo的横向动量依赖性pdfs
Transverse momentum dependent PDFs at N$^3$LO
论文作者
论文摘要
我们在扰动QCD中计算QUARK和GLUON横向动量依赖的Parton分布函数（N $^3 $ LO）。我们的计算是基于差异Higgs玻色子和Drell-Yan生产横截面的扩展。这种方法使我们能够采用尖端技术来计算横截面来提取所讨论的通用构建块。所有通道的相应扰动匹配内核以最高重量为5的简单谐波量表表示。作为副产品，我们确认了先前对n $^3 $ lo的横向动量分解的软函数的计算。我们的结果是将$ q_t $扣除方法扩展到n $^3 $ lo的最后丢失成分，并在n $^3 $^3 $^3 $ ll $^\ prime $ prime $ prime $ prime $精度以及Quark启动过程中获得。
We compute the quark and gluon transverse momentum dependent parton distribution functions at next-to-next-to-next-to-leading order (N$^3$LO) in perturbative QCD. Our calculation is based on an expansion of the differential Higgs boson and Drell-Yan production cross sections about their collinear limit. This method allows us to employ cutting edge techniques for the computation of cross sections to extract the universal building blocks in question. The corresponding perturbative matching kernels for all channels are expressed in terms of simple harmonic polylogarithms up to weight five. As a byproduct, we confirm a previous computation of the soft function for transverse momentum factorization at N$^3$LO. Our results are the last missing ingredient to extend the $q_T$ subtraction methods to N$^3$LO and to obtain resummed $q_T$ spectra at N$^3$LL$^\prime$ accuracy both for gluon as well as for quark initiated processes.
