文章基本信息

标题：Deterministic numerical box and vertex integrations for one-loop hexagon reductions
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作者：E. de Doncker ; J. Fujimoto ; N. HAMAGUCHI 等
期刊名称：PoS - Proceedings of Science
印刷版ISSN：1824-8039
出版年度：2010
卷号：2010
出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：We provide a technique which makes an efficient numerical evaluation feasible for the ndimensional triangle functions and n+2-dimensional box functions, resulting from a reduction of the one-loop hexagon integral. At the level of the three- and four-point functions, a dimensional recursion of an adaptive numerical integration with extrapolation is effective for the corresponding low-dimensional integrals, even to integrate through threshold singularities present in cases of physical kinematics. An important reason for the reduction to these levels (in lieu of resorting to analytical formulas at a higher level), is that infrared divergences are made transparent so they can be separated. We give results for various sets of kinematic configurations, showing the feasibility and accuracy of the approach. Thus a bridge is provided between the computations of the reduction and direct numerical integration at a lower level.