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Studies of D and B mesons decays into hadrons have been used to test thestandard model in the last fifteen years. A heavy meson decay involves thecombined effects of a primary weak vertex and subsequent hadronic final stateinteractions, which determine the shapes of Dalitz plots. The fact that finalproducts involve light mesons indicates that the QCD vacuum is an active partof the problem. This makes the description of these processes rather involvedand, in spite of its importance, phenomenological analyses tend to rely oncrude models. Our group produced, some time ago, a schematic calculation of thedecay $D^+ \to K^- \pi^+ \pi^+$, which provided a reasonable description ofdata. Its main assumption was the dominance of the weak vector-current, whichyields a non-factorizable interaction. Here we refine that calculation byincluding the correct momentum dependence of the weak vertex and extending theenergy ranges of $\pi\pi$ and $K\pi$ subamplitudes present into the problem.These new features make the present treatment more realistic and bring theorycloser to data.

$D^+ \to K^- \pi^+ \pi^+$ - the weak vector current