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, \( \mathcal{O} \)(p2), to 6 legs at next-to- next-to-next-to-leading order, \( \mathcal{O} \)(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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Bijnens, J., Kampf, K. & Sjö, M. Higher-order tree-level amplitudes in the nonlinear sigma model. J. High Energ. Phys. 2019, 74 (2019). https://doi.org/10.1007/JHEP11(2019)074
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DOI: https://doi.org/10.1007/JHEP11(2019)074