Analytic integration of real-virtual counterterms in NNLO jet cross sections i
Analytic integration of real-virtual counterterms in NNLO jet cross sections i
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DOI：
10.1088/1126-6708/2009/08/079
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发表时间：
2008-07
影响因子：
5.4
通讯作者：
U. Aglietti;V. Duca;C. Duhr;G. Somogyi;Z. Tr'ocs'anyi
中科院分区：
文献类型：
--
作者：
U. Aglietti;V. Duca;C. Duhr;G. Somogyi;Z. Tr'ocs'anyi
基于最近提出的次-次-先阶射流截面减法方案，我们给出了明确给出积分实-虚反项所需的一些积分的解析计算。在对积分进行代数化简之后，分部积分恒等式被用于对主积分的化简以及通过微分方程对主积分本身的计算。一旦对标准基进行了扩展，结果就可以写成一维和二维调和多对数的形式。我们期望这里描述的技术将在计算微扰量子场论计算中出现的其他积分时有用。
We present analytic evaluations of some integrals needed to give explicitly the integrated real-virtual counterterms, based on a recently proposed subtraction scheme for next-to-next-to-leading order (NNLO) jet cross sections. After an algebraic reduction of the integrals, integration-by-parts identities are used for the reduction to master integrals and for the computation of the master integrals themselves by means of differential equations. The results are written in terms of one- and two-dimensional harmonic polylogarithms, once an extension of the standard basis is made. We expect that the techniques described here will be useful in computing other integrals emerging in calculations in perturbative quantum field theories.