Ahmed Taushif, Ajjath A H, Mukherjee Pooja, Ravindran V, Sankar Aparna
Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, 80805 Munich, Germany.
Dipartimento di Fisica and Arnold-Regge Center, Università di Torino and INFN, Sezione di Torino, Via Pietro Giuria 1, 10125 Turin, Italy.
Eur Phys J C Part Fields. 2021;81(10):943. doi: 10.1140/epjc/s10052-021-09658-9. Epub 2021 Oct 25.
We present a systematic framework to study the threshold contributions of the differential rapidity distribution for the production of any number of colorless particles in the hadronic colliders. This has been achieved based on the universality structure of the soft enhancements associated with the real emissions, along with the factorization property of the differential cross section and the renormalization group invariance. In this formalism, we present a universal soft-collinear operator to compute the soft virtual differential cross section for a generic scattering process up to next-to-next-to-next-to-next-to-leading order ( LO) in perturbative QCD. We also provide a universal operator to perform the threshold resummation to next-to-next-to-next-to-leading logarithmic ( LL) accuracy. We explicitly present the approximate analytical results of the rapidity distributions at LO and LL for the Higgs boson production through gluon fusion and bottom quark annihilation, and also for the Drell-Yan production at the hadronic collider. We extend our framework to include the next to threshold contributions for the diagonal partonic channels.
我们提出了一个系统框架，用于研究强子对撞机中产生任意数量无色粒子时微分快度分布的阈值贡献。这是基于与实发射相关的软增强的普适结构，以及微分截面的因子化性质和重整化群不变性实现的。在这种形式体系中，我们提出了一个普适的软共线算子，用于计算微扰量子色动力学中一般散射过程的软虚微分截面，直至次下下下领先阶（N4LO）。我们还提供了一个普适算子，用于将阈值重整化到次下下领先对数（NNLL）精度。我们明确给出了通过胶子融合和底夸克湮灭产生希格斯玻色子以及强子对撞机中Drell-Yan产生过程在N4LO和NNLL阶的快度分布的近似解析结果。我们将框架扩展到包括对角部分子通道的次阈值贡献。
