Complex factorization and recursion for one-loop amplitudes

被引：12

作者：

Alston, Sam D. ^{[1
]}

Dunbar, David C. ^{[1
]}

Perkins, Warren B. ^{[1
]}

机构：

[1] Swansea Univ, Coll Sci, Swansea SA2 8PP, W Glam, Wales

来源：

PHYSICAL REVIEW D | 2012年 / 86卷 / 08期

关键词：

GRAVITON SCATTERING; GAUGE-THEORY; N=8 SUPERGRAVITY; TREE AMPLITUDES; UNITARITY;

D O I：

10.1103/PhysRevD.86.085022

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We consider the factorization of one-loop amplitudes at complex kinematic points. By determining the terms that are absent for real kinematics, we can construct a recursive ansatz for the purely rational pieces of one-loop amplitudes in massless theories. We illustrate this method by verifying the Bern et al. n-point ansatze for the single-minus one-loop amplitudes in Yang-Mills theory and by constructing the scalar contribution to the one-loop five-graviton maximal-helicity-violating scattering amplitude.

引用

页数：16

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