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arXiv · 1909.13684

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

Johan Bijnens·Karol Kampf·Mattias Sjö
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Abstract

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, $\mathcal{O}(p^2)$, to 6 legs at next-to-next-to-next-to-leading order, $\mathcal{O}(p^8)$. 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.

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Johan Bijnens, Karol Kampf, Mattias Sjö. 2019-09-30. Higher-order tree-level amplitudes in the nonlinear sigma model. https://doi.org/10.1007/jhep11(2019)074

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