  We have studied the meson-baryon interaction in the neutral $S=-2$ sector
using an extended Unitarized Chiral Perturbation Theory, which takes into
account not only the leading Weinberg-Tomozawa term (as all the previous
studies in $S=-2$ sector), but also the Born terms and next-to-leading order
contribution. Based on the SU(3) symmetry of the chiral Lagrangian we took most
of the model parameters from the BCN model \cite{Feijoo:2018den}, where these
were 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 models
implementing unitarization in coupled channels and the importance of
considering Born and NLO contributions for precise calculations.

High Energy Physics - Phenomenology