Evidence for C P violation in B + → K * ( 892 ) + π 0 from a Dalitz plot analysis of B + → K S 0 π + π 0 decays
We report a Dalitz plot analysis of charmless hadronic decays of charged B mesons to the final state K 0 S π + π 0 using the full BABAR data set of 470.9 ± 2.8 million B¯B events collected at the Υ(4S) resonance. We measure the overall branching fraction and CP asymmetry to be B(B + → K 0 π + π 0 ) = (31.8 ± 1.8 ± 2.1 +6.0 –0.0 ) × 10 –6 and A CP (B + → K 0 π + π 0 ) = 0.07 ± 0.05 ± 0.03 +0.02 –0.03 , where the uncertainties are statistical, systematic, and due to the signal model, respectively. This is the first measurement of the branching fraction for B + → K 0 π + π 0 . We find first evidence of a CP asymmetry in B + → K*(892) + π 0 decays: A CP (B + → K*(892) + π 0 ) = –0.52 ± 0.14 ± 0.04 +0.04 –0.02 . The significance of this asymmetry, including systematic and model uncertainties, is 3.4 standard deviations. As a result, we also measure the branching fractions and CP asymmetries for three other intermediate decay modes.