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Using data collected by the high energy photoproduction experiment FOCUS atFermilab we performed a Dalitz plot analysis of the Cabibbo favored decay D+ toK-pi+ pi+. This study uses 53653 Dalitz-plot events with a signal fraction of ~97%, and represents the highest statistics, most complete Dalitz plot analysisfor this channel. Results are presented and discussed using two differentformalisms. The first is a simple sum of Breit--Wigner functions with freelyfitted masses and widths. It is the model traditionally adopted and serves ascomparison with the already published analyses. The second uses a K-matrixapproach for the dominant S-wave, in which the parameters are fixed by firstfitting Kpi scattering data and continued to threshold by Chiral PerturbationTheory. We show that the Dalitz plot distribution for this decay is consistentwith the assumption of two body dominance of the final state interactions andthe description of these interactions is in agreement with other data on theKpi final state.

Dalitz plot analysis of the D+ to K-pi+pi+ decay in the FOCUS experiment