Study of D+ →k-π+e+νe

We present an analysis of the decay D+→K-π+e+νe based on data collected by the BESIII experiment at the ψ(3770) resonance. Using a nearly background-free sample of 18262 events, we measure the branching fraction B(D+→K-π+e+νe)=(3.77±0.03±0.08)%. For 0.8<mKπ<1.0  GeV/c2, the partial branching fraction is B(D+→K-π+e+νe)[0.8,1.0]=(3.39±0.03±0.08)%. A partial wave analysis shows that the dominant K¯*(892)0 component is accompanied by an S-wave contribution accounting for (6.05±0.22±0.18)% of the total rate and that other components are negligible. The parameters of the K¯*(892)0 resonance and of the form factors based on the spectroscopic pole dominance predictions are also measured. We also present a measurement of the K¯*(892)0 helicity basis form factors in a model-independent way.