Amplitude analysis of B0→K+π-π0 and evidence of direct CP violation in B→K*π decays

We analyze the decay B0→K+π-π0 with a sample of 4.54×10^8 BB̅ events collected by the BABAR detector at the PEP-II asymmetric-energy B factory at SLAC, and extract the complex amplitudes of seven interfering resonances over the Dalitz plot. These results are combined with amplitudes measured in B0→KS0π+π- decays to construct isospin amplitudes from B0→K*π and B0→ρK decays. We measure the phase of the isospin amplitude Φ3/2, useful in constraining the Cabibbo-Kobayashi-Maskawa unitarity triangle angle γ and evaluate a CP rate asymmetry sum rule sensitive to the presence of new physics operators. We measure direct CP violation in B0→K*+π- decays at the level of 3σ when measurements from both B0→K+π-π0 and B0→KS0π+π- decays are combined.