Amplitude analysis of B(0) -> K(+) pi(-) pi(0) and evidence of direct CP violation in B -> K * pi decays

We analyze the decay B(0) -> K(+) pi(-) pi(0) with a sample of 4.54 x 10(8) B (B) over bar 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 B(0) -> K(S)(0)pi(+)pi(-) decays to construct isospin amplitudes from B(0) -> K* pi and B(0) -> rho K decays. We measure the phase of the isospin amplitude Phi(3/2), useful in constraining the Cabibbo-Kobayashi-Maskawa unitarity triangle angle gamma and evaluate a CP rate asymmetry sum rule sensitive to the presence of new physics operators. We measure direct CP violation in B(0) -> K*(+) pi(-) decays at the level of 3 sigma when measurements from both B(0) -> K(+) pi(-) pi(0) and B(0) -> K(S)(0) pi(+) pi(-) decays are combined.