Expansion of Einstein-Yang-Mills amplitude

A bstract In this paper, we study from various perspectives the expansion of tree level single trace Einstein-Yang-Mills amplitudes into linear combination of color-ordered Yang-Mills amplitudes. By applying the gauge invariance principle, a programable recursive construction is devised to expand EY...

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Published in:The journal of high energy physics Vol. 2017; no. 9; pp. 1 - 51
Main Authors: Fu, Chih-Hao, Du, Yi-Jian, Huang, Rijun, Feng, Bo
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2017
Springer Nature B.V
SpringerOpen
Subjects:
Amplitudes
Classical and Quantum Gravitation
Color
Elementary Particles
Gauge invariance
Gauge Symmetry
Gravitons
High energy physics
Mills
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scattering Amplitudes
String Theory
Thermal expansion
Gauge Symmetry
Scattering Amplitudes
ISSN:1029-8479, 1029-8479
Online Access:Get full text
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Summary:A bstract In this paper, we study from various perspectives the expansion of tree level single trace Einstein-Yang-Mills amplitudes into linear combination of color-ordered Yang-Mills amplitudes. By applying the gauge invariance principle, a programable recursive construction is devised to expand EYM amplitude with arbitrary number of gravitons into EYM amplitudes with fewer gravitons. Based on this recursive technique we write down the complete expansion of any single trace EYM amplitude in the basis of color-order Yang-Mills amplitude. As a byproduct, an algorithm for constructing a polynomial form of the BCJ numerator for Yang-Mills amplitudes is also outlined in this paper. In addition, by applying BCFW recursion relation we show how to arrive at the same EYM amplitude expansion from the on-shell perspective. And we examine the EYM expansion using KLT relations and show how to evaluate the expansion coefficients efficiently.
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP09(2017)021