Aspects of meson-baryon scattering in three- and two-flavor chiral perturbation theory

Abstract

We analyze meson-baryon scattering lengths in the framework of covariant baryon chiral perturbation theory at leading one-loop order. We compute the complete set of matching relations between the dimension-two low-energy constants in the two- and three-flavor formulations of the theory. We derive new two-flavor low-energy theorems for pion-hyperon and pion-cascade scattering that can be tested in lattice simulations.

22 pages, 5 figures, version published in Phys. Rev. D

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• Hyperon-nuclear interactions from SU(3) chiral effective field theory
• Cross-channel constraints on resonant antikaon-nucleon scattering
• Density-dependent effective baryon-baryon interaction from chiral three-baryon forces
• Light baryon resonances from a coupled-channel study including $\mathbf{K\Sigma }$ photoproduction
• Accessing the strong interaction between $\Lambda$ baryons and charged kaons with the femtoscopy technique at the LHC
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• Chiral extrapolation of baryon mass ratios
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• Faddeev Calculation of ${}_{\Lambda }^3$H incorporating 2π-exchange $\Lambda$NN Interaction
• The electromagnetic Sigma-to-Lambda transition form factors with coupled-channel effects in the space-like region
• Meson-baryon scattering in resummed baryon chiral perturbation theory using time-ordered perturbation theory
• Constraints from a large-N_c analysis on meson-baryon interactions at chiral order Q^3
• Relations for low-energy coupling constants in baryon chiral perturbation theory derived from the chiral quark model
• Nucleon mass: trace anomaly and $\sigma$-terms
• Meson-baryon scattering lengths without annihilation diagrams to order $p^4$ in heavy baryon chiral perturbation theory