6533b855fe1ef96bd12b13f6

RESEARCH PRODUCT

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

Antonio PichJ. NievesJ. Ruiz De ElviraE. Ruiz ArriolaT. Ledwig

subject

PhysicsNuclear and High Energy PhysicsParticle physicsChiral perturbation theoryMesonUnitarityScatteringHigh Energy Physics::PhenomenologyFísicaFOS: Physical sciencesInterpretation (model theory)High Energy Physics - PhenomenologyNaturalnessHigh Energy Physics - Phenomenology (hep-ph)Effective field theoryLimit (mathematics)

description

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.

https://dx.doi.org/10.48550/arxiv.1407.3750