Amplitude Analysis of $B^0\to K^+ \pi^- \pi^0$ and Evidence of Direct CP Violation in $B\to K^* \pi$ decays

We analyze the decay B0-->K+ pi- pi0 with a sample of 454 million B Bbar 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-->K_S pi+ pi- decays to construct isospin amplitudes from B0-->K* pi and B0-->rho K decays. We measure the phase of the isospin amplitude Phi_3/2, useful in constraining the CKM 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 B0-->K*+ pi- decays at the level of 3 sigma when measurements from both B0-->K+ pi- pi0 and B0-->K_S pi+ pi- decays are combined.

Note:

26 pages, 23 eps figures, submitted to Phys. Rev. D

11.30.Er
11.30.Hv
13.25.Hw
B0: hadronic decay
CP: violation
CKM matrix: unitarity
isospin: amplitude analysis
electron positron: annihilation
B: pair production
Dalitz plot

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