Higher-order tree-level amplitudes in the nonlinear sigma model

A bstract We present a generalisation of the flavour-ordering method applied to the chiral nonlinear sigma model with any number of flavours. We use an extended Lagrangian with terms containing any number of derivatives, organised in a power-counting hierarchy. The method allows diagrammatic computa...

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Bibliographic Details
Published in:The journal of high energy physics 2019-11, Vol.2019 (11), p.1-46, Article 74
Main Authors: Bijnens, Johan, Kampf, Karol, Sjö, Mattias
Format: Article
Language:English
Subjects:
Amplitudes
Chiral Lagrangians
Classical and Quantum Gravitation
Effective Field Theories
Elementary Particles
Field theory
Flavors
Fysik
High energy physics
Kinematics
Legs
Methods
Natural Sciences
Naturvetenskap
Physical Sciences
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quantum theory
Regular Article - Theoretical Physics
Relativity Theory
Scattering Amplitudes
Spon- taneous Symmetry Breaking
String Theory
Subatomic Physics
Subatomär fysik
Symmetry
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Summary:A bstract We present a generalisation of the flavour-ordering method applied to the chiral nonlinear sigma model with any number of flavours. We use an extended Lagrangian with terms containing any number of derivatives, organised in a power-counting hierarchy. The method allows diagrammatic computations at tree-level with any number of legs at any order in the power-counting. Using an automated implementation of the method, we calculate amplitudes ranging from 12 legs at leading order, O ( p 2 ), to 6 legs at next-to- next-to-next-to-leading order, O ( p 8 ). In addition to this, we generalise several properties of amplitudes in the nonlinear sigma model to higher orders. These include the double soft limit and the uniqueness of stripped amplitudes.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP11(2019)074