  A complete and minimal relativistic Lagrangian is constructed at
next-to-leading order for SU(3) chiral perturbation theory in the presence of
baryon octet and baryon decuplet states. The Lagrangian has 13 terms for the
pure decuplet sector, 6 terms for the transition sector from baryon octet to
decuplet and (as already known from the literature) 16 terms for the pure octet
sector. The minimal field content of 25 of these terms is meson-baryon
four-point interactions. 3 terms give rise to the mass splitting for baryon
octet and decuplet states, respectively. 2 terms give rise to overall mass
shifts. 4 terms provide anomalous magnetic moments and a decuplet-to-octet
magnetic transition moment. 1 term leads to an axial vector transition moment.
It is shown that meson-baryon three-point coupling constants come in at leading
order whereas no additional one appears in the minimal Lagrangian at
next-to-leading order. Those low-energy constants that give rise to mass
splitting and magnetic moments, respectively, are determined. Predictions are
provided for radiative decays of decuplet to octet baryons.
