Multi-trace YMS amplitudes from soft behavior

A bstract Tree level multi-trace Yang-Mills-scalar (YMS) amplitudes have been shown to satisfy a recursive expansion formula, which expresses any YMS amplitude by those with fewer gluons and/or scalar traces. In an earlier work, the single-trace expansion formula has been shown to be determined by t...

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Published in:The journal of high energy physics Vol. 2024; no. 3; pp. 81 - 37
Main Authors: Du, Yi-Jian, Zhou, Kang
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 14.03.2024
Springer Nature B.V
SpringerOpen
Subjects:
Amplitudes
Behavior
Classical and Quantum Gravitation
Construction
Decomposition
Elementary Particles
Field Theories in Higher Dimensions
Gluons
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scalars
Scattering Amplitudes
String Theory
Scattering Amplitudes
Field Theories in Higher Dimensions
ISSN:1029-8479, 1029-8479
Online Access:Get full text
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Summary:A bstract Tree level multi-trace Yang-Mills-scalar (YMS) amplitudes have been shown to satisfy a recursive expansion formula, which expresses any YMS amplitude by those with fewer gluons and/or scalar traces. In an earlier work, the single-trace expansion formula has been shown to be determined by the universality of soft behavior. This approach is nevertheless not extended to multi-trace case in a straightforward way. In this paper, we derive the expansion formula of tree-level multi-trace YMS amplitudes in a bottom-up way: we first determine the simplest amplitude, the double-trace pure scalar amplitude which involves two scalars in each trace. Then insert more scalars to one of the traces. Based on this amplitude, we further obtain the double-soft behavior when the trace contains only two scalars is soft. The multi-trace amplitudes with more scalars and more gluons finally follow from the double-soft behavior as well as the single-soft behaviors which has been derived before.
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2024)081