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arXiv · 1407.3750

Large-$N_c$ naturalness in coupled-channel meson-meson scattering

T. Ledwig·J. Nieves·A. Pich·E. Ruiz Arriola·J. Ruiz de Elvira
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Abstract

The analysis of hadronic interactions with effective field theory techniques is complicated by the appearance of a large number of low-energy constants, which are usually fitted to data. On the other hand, the large-$N_c$ limit imposes natural short-distance constraints on these low-energy constants, providing a parameter reduction. A Bayesian interpretation of the expected $1/N_c$ accuracy allows for an easy and efficient implementation of these constraints, using an augmented $χ^2$. We apply this approach to the analysis of meson-meson scattering, in conjunction with chiral perturbation theory to one loop and coupled-channel unitarity, and show that it helps to largely reduce the many existing ambiguities and simultaneously provide an acceptable description of the available phase shifts.

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T. Ledwig, J. Nieves, A. Pich, E. Ruiz Arriola, J. Ruiz de Elvira. 2015-01-09. Large-$N_c$ naturalness in coupled-channel meson-meson scattering. https://doi.org/10.1103/physrevd.90.114020

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