Note on recursion relations for the Q-cut representation

被引：0

作者：

Feng, Bo ^{[1
,2
]}

He, Song ^{[3
,4
]}

Huang, Rijun ^{[1
]}

Luo, Ming-xing ^{[1
]}

机构：

[1] Zhejiang Univ, Zhejiang Inst Modern Phys, Dept Phys, 38, Zheda Rd, Hangzhou 310027, Zhejiang, Peoples R China

[2] Zhejiang Univ, Ctr Math Sci, 38, Zheda Rd, Hangzhou 310027, Zhejiang, Peoples R China

[3] Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China

[4] Univ Chinese Acad Sci, Sch Phys Sci, 19A, Yuquan Rd, Beijing 100049, Peoples R China

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2017年 / 01期

基金：

中国国家自然科学基金;

关键词：

Scattering Amplitudes; Differential and Algebraic Geometry;

D O I：

10.1007/JHEP01(2017)008

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 note, we study the Q-cut representation by combining it with BCFW deformation. As a consequence, the one-loop integrand is expressed in terms of a recursion relation, i.e., n-point one-loop integrand is constructed using tree-level amplitudes and m-point one-loop integrands with m <= n - 1. By giving explicit examples, we show that the integrand from the recursion relation is equivalent to that from Feynman diagrams or the original Q-cut construction, up to scale free terms.

引用

页数：31

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