Four-dimensional formulation of the sector-improved residue subtraction scheme

Four-dimensional formulation of the sector-improved residue subtraction scheme
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扇区改进残差减法方案的四维表述

DOI:
10.1016/j.nuclphysb.2014.11.006
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发表时间:
2014
期刊:
Nuclear Physics
影响因子:
--
通讯作者:
D. Heymes
D. Heymes
中科院分区:
--
文献类型:
--
作者:
D. Heymes

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四年前,我们中的一位引入了一种新的减法方案[1],用于计算QCD中次近导数级(NNLO)截面的双实辐射贡献。这种方法名为扇区改进的实辐射相空间(Stapper),已经得到了几个重要的应用。特别是,它允许确定强子顶-夸克对产生的NNLO修正,全微分顶-夸克衰变,包括半轻子无魅力b-夸克衰变,胶子聚变中相关的希格斯玻色子和喷注产生,Muon衰变自旋不对称,以及t-通道单顶产生。这些计算的共同之处是使用了传统的维度正则化(CDR)。在这本出版物中,我们给出了任意过程的减法方案的完整公式,其中任意数量的有色部分子处于末态,而最多可有两个部分子处于初态。此外,我们修改了双实辐射的积分减法项,引入了维正则化(HV)的‘t Hooft-Veltman版本,其中的解析态是四维的,我们以胶子聚变通道中的顶-夸克对产生为例,证明了我们方法的正确性。
Four years ago, one of us introduced a novel subtraction scheme [1] 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.
DOI: 10.1103/physrevlett.110.252004
发表时间: 2013-03
影响因子: 8.6
作者:
M. Czakon;P. Fiedler;A. Mitov
通讯作者: M. Czakon;P. Fiedler;A. Mitov
DOI: 10.1007/jhep01(2013)080
发表时间: 2012-10
影响因子: 5.4
作者:
M. Czakon;A. Mitov
通讯作者: M. Czakon;A. Mitov