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We have studied the meson-baryon interaction in the neutral $S=-2$ sectorusing an extended Unitarized Chiral Perturbation Theory, which takes intoaccount not only the leading Weinberg-Tomozawa term (as all the previousstudies in $S=-2$ sector), but also the Born terms and next-to-leading ordercontribution. Based on the SU(3) symmetry of the chiral Lagrangian we took mostof the model parameters from the BCN model \cite{Feijoo:2018den}, where thesewere fitted to a large amount of experimental data in the neutral $S=-1$sector. We have shown that our approach is able to generate dynamically both$\Xi(1620)$ and $\Xi(1690)$ states in very reasonable agreement with the data,and can naturally explain the puzzle with the decay branching ratios of$\Xi(1690)$. Our results clearly illustrate the reliability of chiral modelsimplementing unitarization in coupled channels and the importance ofconsidering Born and NLO contributions for precise calculations.

The $\Xi(1620)$ and $\Xi(1690)$ molecular states from $S=-2$ meson-baryon interaction up to next-to-leading order