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High Energy Physics - Phenomenology

arXiv:1209.0339 (hep-ph)
[Submitted on 3 Sep 2012 ]

Title: The Dimensional Recurrence and Analyticity Method for Multicomponent Master Integrals: Using Unitarity Cuts to Construct Homogeneous Solutions

Title: 多组分主积分的维数递推与解析方法:使用单位性切割构造齐次解

Authors:Roman N. Lee, Vladimir A. Smirnov
Abstract: We consider the application of the DRA method to the case of several master integrals in a given sector. We establish a connection between the homogeneous part of dimensional recurrence and maximal unitarity cuts of the corresponding integrals: a maximally cut master integral appears to be a solution of the homogeneous part of the dimensional recurrence relation. This observation allows us to make a necessary step of the DRA method, the construction of the general solution of the homogeneous equation, which, in this case, is a coupled system of difference equations.
Abstract: 我们考虑将DRA方法应用于给定区域内多个主积分的情况。 我们建立了维度递推的齐次部分与相应积分的最大单位性切割之间的联系:最大切割的主积分似乎为维度递推关系的齐次部分的解。 这一观察使我们能够完成DRA方法的一个必要步骤,即构造齐次方程的通解,而在这种情况下,这是一个耦合的差分方程组。
Comments: 17 pages, 2 figures
Subjects: High Energy Physics - Phenomenology (hep-ph) ; High Energy Physics - Theory (hep-th)
Cite as: arXiv:1209.0339 [hep-ph]
  (or arXiv:1209.0339v1 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.1209.0339
arXiv-issued DOI via DataCite
Journal reference: TTP12-035
Related DOI: https://doi.org/10.1007/JHEP12%282012%29104
DOI(s) linking to related resources

Submission history

From: Roman Nikolaevich Lee [view email]
[v1] Mon, 3 Sep 2012 13:15:49 UTC (105 KB)
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