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

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 ${\chi }^2$. 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.

17 pages, 15 figures

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Cited by in corpus (10)

• Strange resonance poles from $K\pi$ scattering below 1.8 GeV
• The Large $N_c$ limit of QCD on the lattice
• Feynman-Hellmann theorem for resonances and the quest for QCD exotica
• The f0(1370) controversy from dispersive meson-meson scattering data analyses
• Global parametrizations of $\pi \pi$ scattering with dispersive constraints: Beyond the S0 wave
• The pion-kaon scattering amplitude and the $K^0(700)$ and $K^{\ast }(892)$ resonances at finite temperature
• The $\pi \pi$ scattering amplitude at large $N_{\text{c}}$
• Light-flavor resonance dynamics in the $U(3)$ chiral theory
• $N_C$ evolution of the light meson resonances
• Dispersive determination of resonances from $\pi \pi$ scattering data