All Master Integrals for Three-Jet Production at Next-to-Next-to-Leading Order

被引：83

作者：

Chicherin, D. ^{[1
]}

Gehrmann, T. ^{[2
]}

Henn, J. M. ^{[1
]}

Wasser, P. ^{[3
]}

Zhang, Y. ^{[1
]}

Zoia, S. ^{[1
]}

机构：

[1] Max Planck Inst Phys & Astrophys, Werner Heisenberg Inst, D-80805 Munich, Germany

[2] Univ Zurich, Phys Inst, Wintherturerstr 190, CH-8057 Zurich, Switzerland

[3] Johannes Gutenberg Univ Mainz, Inst Phys, PRISMA Cluster Excellence, D-55099 Mainz, Germany

来源：

PHYSICAL REVIEW LETTERS | 2019年 / 123卷 / 04期

基金：

瑞士国家科学基金会; 欧洲研究理事会;

关键词：

JETS;

D O I：

10.1103/PhysRevLett.123.041603

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We evaluate analytically all previously unknown nonplanar master integrals for massless five-particle scattering at two loops, using the differential equations method. A canonical form of the differential equations is obtained by identifying integrals with constant leading singularities, in D space-time dimensions. These integrals evaluate to Q-linear combinations of multiple polylogarithms of uniform weight at each order in the expansion in the dimensional regularisation parameter and are in agreement with previous conjectures for nonplanar pentagon functions. Our results provide the complete set of two-loop Feynman integrals for any massless 2 -> 3 scattering process, thereby opening up a new level of precision collider phenomenology.

引用

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