Differential equations for loop integrals in Baikov representation

被引：21
作者：
Bosma, Jorrit [1 ]
Larsen, Kaper J. [2 ]
Zhang, Yang [1 ,3 ]
机构：
[1] ETH, Wolfang Pauli Str 27, CH-8093 Zurich, Switzerland
[2] Univ Southampton, Sch Phys & Astron, Southampton SO17 1BJ, Hants, England
[3] Johannes Gutenberg Univ Mainz, PRISMA Cluster Excellence, D-55128 Mainz, Germany
来源：
PHYSICAL REVIEW D | 2018年 / 97卷 / 10期
基金：
欧洲研究理事会; 瑞士国家科学基金会;
关键词：
DIMENSIONAL RECURRENCE RELATION; MASTER INTEGRALS; FEYNMAN-INTEGRALS; CANONICAL BASIS; EPSILON; TOOL;
D O I：
10.1103/PhysRevD.97.105014
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We present a proof that differential equations for Feynman loop integrals can always be derived in Baikov representation without involving dimension-shift identities. We moreover show that in a large class of two- and three-loop diagrams it is possible to avoid squared propagators in the intermediate steps of setting up the differential equations.
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页数：13
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