论文标题

Drell-Yan和Higgs玻色子快速分布的临近校正更正n $^3 $ lo

Next-to-soft corrections for Drell-Yan and Higgs boson rapidity distributions beyond N$^3$LO

论文作者

Ajjath, A. H., Mukherjee, Pooja, Ravindran, V., Sankar, Aparna, Tiwari, Surabhi

论文摘要

我们提出了一种形式主义,该形式概括了软件(SV)和SV(NSV)对扰动QCD中所有订单的贡献,以供激活QCD中的所有订单,以在强子碰撞器中产生的任何无色粒子的速度分布。我们已经利用了差分横截面的分解特性和重量法化组(RG)不变性,以实现这一目标。使用最先进的Multiloop和Multileg结果,我们确定了Drell-Yan中一对leptons的速度分布和Gluon融合中的Higgs Boson的速度分布的强耦合常数的完整NSV贡献。使用我们所有订单$ z $空间结果的整体表示,我们展示了如何在二维Mellin空间中重新定位NSV贡献。

We present a formalism that sums up both soft-virtual (SV) and next to SV (NSV) contributions to all orders in perturbative QCD for the rapidity distribution of any colorless particle produced in hadron colliders. We have exploited the factorization properties and the renormalisation group (RG) invariance of the differential cross-section to achieve this. Using the state-of-the-art multiloop and multileg results, we determine the complete NSV contributions to third order in strong coupling constant for the rapidity distributions for a pair of leptons in Drell-Yan and also for Higgs boson in gluon fusion as well as bottom quark annihilation. Using the integral representation of our all order $z$ space result, we show how the NSV contributions can be resummed in two-dimensional Mellin space.

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