Abstract
We present positivity bounds, derived from the principles of analyticity, unitarity and crossing symmetry, that constrain the low-energy constants of chiral perturbation theory. Bounds are produced for 2, 3 or more flavours in meson-meson scattering with equal meson masses, up to and including next-to-next-to-leading order (NNLO), using the second and higher derivatives of the amplitude. We enhance the bounds by using the most general isospin combinations posible (or higher-flavour counterparts thereof) and by analytically integrating the low-energy range of the discontinuities. In addition, we present a powerful and general mathematical framework for efficiently managing large numbers of positivity bounds.
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Alvarez, B., Bijnens, J. & Sjö, M. NNLO positivity bounds on chiral perturbation theory for a general number of flavours. J. High Energ. Phys. 2022, 159 (2022). https://doi.org/10.1007/JHEP03(2022)159
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DOI: https://doi.org/10.1007/JHEP03(2022)159