Non-planar one-loop Parke-Taylor factors in the CHY approach for quadratic propagators

被引：19

作者：

Ahmadiniaz, Naser ^{[1
]}

Gomez, Humberto ^{[2
]}

Lopez-Arcos, Cristhiam ^{[2
]}

机构：

[1] Inst Basic Sci, Ctr Relativist Laser Sci, Gwangju 61005, South Korea

[2] Univ Santiago de Cali, Fac Ciencias Basicas, Campus Pampalinda,Calle 5 62-00, Santiago De Cali 76001, Colombia

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2018年 / 05期

关键词：

Scattering Amplitudes; Superstrings and Heterotic Strings; Differential and Algebraic Geometry; GAUGE-THEORY; AMPLITUDES;

D O I：

10.1007/JHEP05(2018)055

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 work we have studied the Kleiss-Kuijf relations for the recently introduced Parke-Taylor factors at one-loop in the CHY approach, that reproduce quadratic Feynman propagators. By doing this, we were able to identify the non-planar one-loop Parke-Taylor factors. In order to check that, in fact, these new factors can describe non-planar amplitudes, we applied them to the bi-adjoint (1) 3 theory. As a byproduct, we found a new type of graphs that we called the non-planar CHY-graphs. These graphs encode all the information for the subleading order at one-loop, and there is not an equivalent of these in the Feynman formalism.

引用

页数：35

共 62 条

[1] Scattering equations, supergravity integrands, and pure spinors [J].