Analytic results for the planar double box integral relevant to top-pair production with a closed top loop

被引：62

作者：

Adams, Luise ^{[1
]}

Chaubey, Ekta ^{[1
]}

Weinzierl, Stefan ^{[1
]}

机构：

[1] Johannes Gutenberg Univ Mainz, Inst Phys, PRISMA Cluster Excellence, Staudinger Weg 7, D-55099 Mainz, Germany

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2018年 / 10期

关键词：

Differential and Algebraic Geometry; Heavy Quark Physics; Perturbative QCD; DIFFERENTIAL-EQUATIONS; FEYNMAN-INTEGRALS; MULTIPLE POLYLOGARITHMS; NUMERICAL EVALUATION; MASTER INTEGRALS; MULTILOOP INTEGRALS; SUNRISE GRAPH; SELF-ENERGY; SECTOR DECOMPOSITION; RECURRENCE RELATIONS;

D O I：

10.1007/JHEP10(2018)206

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

In this article we give the details on the analytic calculation of the master integrals for the planar double box integral relevant to top-pair production with a closed top loop. We show that these integrals can be computed systematically to all order in the dimensional regularisation parameter epsilon. This is done by transforming the system of differential equations into a form linear in epsilon, where the epsilon(0)-part is a strictly lower triangular matrix. Explicit results in terms of iterated integrals are presented for the terms relevant to NNLO calculations.

引用

页数：77

共 127 条

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