Leading singularities in Baikov representation and Feynman integrals with uniform transcendental weight

被引：24

作者：

Dlapa, Christoph ^{[1
]}

Li, Xiaodi ^{[2
]}

Zhang, Yang ^{[3
,4
]}

机构：

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

[2] Zhejiang Univ, Dept Phys, 38 Zheda Rd, Hangzhou 310027, Peoples R China

[3] Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China

[4] Peng Huanwu Ctr Fundamental Theory, Hefei 230026, Anhui, Peoples R China

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2021年 / 2021卷 / 07期

基金：

中国国家自然科学基金; 欧洲研究理事会;

关键词：

Scattering Amplitudes; Differential and Algebraic Geometry; DIFFERENTIAL-EQUATIONS; MASTER INTEGRALS; CANONICAL BASIS; EPSILON; PACKAGE; TOOL;

D O I：

10.1007/JHEP07(2021)227

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：

We provide a leading singularity analysis protocol in Baikov representation, for the searching of Feynman integrals with uniform transcendental (UT) weight. This approach is powered by the recent developments in rationalizing square roots and syzygy computations, and is particularly suitable for finding UT integrals with multiple mass scales. We demonstrate the power of our approach by determining the UT basis for a two-loop diagram with three external mass scales.

引用

页数：28

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