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The $D^+ \to K^-\pi^+\pi+$ decay have been observed in LHCb collaborationwith thousands of events per second from $K\pi$ threshold. The theoreticaltreatment of this decay includes a rich dynamic behaviour that mix weak andstrong interactions in a non trivial way. In the present work we show recentlyprogress on $D^+ \to K^-\pi^+\pi+$ decay within a effective hadronic formalism.The weak sector followed a similar formalism from heavy meson ChPT, where quarkc is an external object of SU(3) Goldstone bosons sector and final statesinteractions description is based in three-body model. The results concerningthe vector weak transition revealed a very interesting new scenario in s-wavephase-shift: agrees well with data in the elastic region, and it starts from$-60$ degrees. Up to now the reason way the experimental phase starts atnegative degrees($\approx - 138$) was a mystery. However, we show that thisbehaviour is a consequence of interference between a correct weak vertexdynamic, dominated by $\rho$ meson propagator, and a rescattering model to thefinal state interaction. Therefore, this work represent a progress in theunderstanding of $D^+ \to K^-\pi^+\pi+$ and could be applied to other decays.

A complete model for $D^+ \to K^-\pi^+\pi+$ S-wave