论文标题
n杰脱头光束在n3lo上的功能
N-jettiness beam functions at N3LO
论文作者
论文摘要
我们介绍了Quark和Gluon $ n $ Jettiness（$ \ tau_n $）的第一个完整计算，该计算在近代到领先的订单（n $^3 $ lo）中的临时QCD中的临时功能。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。所有通道的匹配系数中出现的函数类别都包含具有非理性内核的迭代积分，因此超出了谐波多组载体之一。我们的结果是将$ \ tau_n $扣除方法扩展到n $^3 $ lo的关键步骤，以及在n $^3 $^3 $^3 $ ll $^\ prime $ prime $ prime prime的Quark以及Gluon的启动过程中重新启动的$^3 $ lo。
We present the first complete calculation for the quark and gluon $N$-jettiness ($\Tau_N$) beam 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 class of functions appearing in the matching coefficents for all channels includes iterated integrals with non-rational kernels, thus going beyond the one of harmonic polylogarithms. Our results are a key step in extending the $\Tau_N$ subtraction methods to N$^3$LO, and to resum $\Tau_N$ distributions at N$^3$LL$^\prime$ accuracy both for quark as well as for gluon initiated processes.
