论文标题
$ n $颜色的粒子到QCD中的第四顺序的软性校正和阈值重新调整：第一部分
Soft-virtual correction and threshold resummation for $n$-colorless particles to fourth order in QCD: Part I
论文作者
论文摘要
我们介绍了通用软性分销分配运算符的一般形式，以在QCD中计算软性虚拟横截面到近代到接头到次要到领先的订单（n $^4 $ lo），以使用Hadron Colliders中的任何数量的最终状态无色粒子。通过在需要明确计算的过程中对纯虚拟校正作用该通用操作员，可以获得软件横截面。操作员是通过利用QCD中振幅的分解和重新归一化组演变来构建的，而软gluon贡献的普遍性。我们还提供了坚硬的系数，以执行阈值重新调整到近代到接头到领先的对数（n $^3 $ ll）精度。此外，我们介绍了通过Gluon融合和底部夸克灭绝的Higgs Boson生产的n $^4 $ lo和n $^3 $ ll的软性虚拟横截面的近似分析结果，以及用于Hadronic Collider的Drell-Yan生产。
We present the general form of a universal soft-collinear distribution operator to compute the soft-virtual cross-section to next-to-next-to-next-to-next-to-leading order (N$^4$LO) in QCD for a process with any number of final state colorless particles in hadron colliders. By acting this universal operator on the pure virtual corrections, which need to be computed explicitly for a process, the soft-virtual cross-section can be obtained. The operator is constructed by exploiting the factorization and renormalization group evolution of amplitudes in QCD, and the universality of soft gluon contributions. We also provide the hard coefficient to perform the threshold resummation to next-to-next-to-next-to-leading logarithmic (N$^3$LL) accuracy. Furthermore, we present the approximate analytical results of the soft-virtual cross-sections at N$^4$LO and N$^3$LL for the Higgs boson production through gluon fusion and bottom quark annihilation, and also for the Drell-Yan production at the hadronic collider.
