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

被引:0
作者
Johan Bijnens
Karol Kampf
Mattias Sjö
机构
[1] Lund University,Department of Astronomy and Theoretical Physics
[2] Charles University,Institute of Particle and Nuclear Physics
来源
Journal of High Energy Physics | / 2019卷
关键词
Chiral Lagrangians; Effective Field Theories; Scattering Amplitudes; Spon- taneous Symmetry Breaking;
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摘要
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\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{O} $$\end{document}(p2), to 6 legs at next-to- next-to-next-to-leading order, O\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{O} $$\end{document}(p8). 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.
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