扇形改进的剩余减法的四维公式
Four-dimensional formulation of the sector-improved residue subtraction scheme
摘要：
四年前，我们中的一个人提出了一种新的减法方案，用于计算QCD中次-首阶（NNLO）截面的双实辐射贡献。这种方法，命名为SecToR改进的相位sPacE真实辐射（STRIPPER），已经发现了几个重要的应用。特别是，它允许确定强子顶夸克对产生，全微分顶夸克衰变，包括半轻子无粲b夸克衰变，相关的希格斯玻色子和胶子融合中的喷流产生，μ子衰变自旋不对称性和t通道单顶产生的NNLO修正。这些计算的共同点是使用传统的维数正则化（CDR）。在本出版物中，我们提出了一个完整的制定的减法计划的任意过程中的任何数量的有色部分子的最终状态，并在初始状态的两个部分子。此外，我们修改了积分减法项的双实辐射，使引入的't Hooft-Veltman版本的维正则化（HV），其中解决的状态是四维的。我们证明了我们的方法的正确性的例子中的胶子融合通道的顶夸克对的生产。
英文摘要：
Four years ago, one of us introduced a novel subtraction scheme for the evaluation of double-real radiation contributions to cross sections at next-to-next-to-leading order (NNLO) in QCD. This approach, named SecToR Improved Phase sPacE for Real radiation (STRIPPER), has already found several non-trivial applications. In particular, it has allowed for the determination of NNLO corrections to hadronic top-quark pair production, fully differential top-quark decays, inclusive semileptonic charmless b-quark decays, associated Higgs boson and jet production in gluon fusion, muon decay spin asymmetry, and t-channel single-top production. Common to these calculations was the use of conventional dimensional regularization (CDR). In this publication, we present a complete formulation of the subtraction scheme for arbitrary processes with any number of colored partons in the final state, and up to two partons in the initial state. Furthermore, we modify the integrated subtraction terms of the double-real radiation to enable the introduction of the 't Hooft-Veltman version of dimensional regularization (HV), in which resolved states are four-dimensional. We demonstrate the correctness of our approach on the example of top-quark pair production in the gluon fusion channel.
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