Extended formalism for the study of final-state interaction in $\gamma p\to K^{+}\pi \mathrm{\Sigma }$ photoproduction

We extend the formalism for the low-energy analysis of the $\gamma p\to K^{+}\pi \mathrm{\Sigma }$ photoproduction reaction to include the strangeness $S=-1$ meson-baryon p-wave final-state interaction with total angular momentum $J=\frac{3}{2}$. As an application, and a check of our method, we evaluate contributions due to the exchange of the ${\mathrm{\Sigma }}^{\ast }(1385)$ resonance as derived from a chiral Lagrangian.