Time-dependent and time-integrated angular analysis of B→φK0Sπ0 and φK±π∓

Abstract

We perform a time-dependent and time-integrated angular analysis of the decays B 0 → φ K ∗ ( 892 ) 0 , φ K ∗ 2 ( 1430 ) 0 , and φ ( K π ) * 0 0 with the final sample of about 465 × 10 6 B ¯¯¯ B pairs recorded with the BABAR detector. Twenty-four parameters are investigated, including the branching fractions, C P -violation parameters, and parameters sensitive to final-state interactions. We use the dependence on the K π invariant mass of the interference between the scalar and vector or tensor components to resolve discrete ambiguities of the strong and weak phases. We use the time evolution of the B → φ K 0 S π 0 channel to extract the C P -violation phase difference Δ ϕ 00 = 0.28 ± 0.42 ± 0.04 between the B and ¯¯¯ B decay amplitudes. When the B → φ K ± π ∓ channel is included, the fractions of longitudinal polarization f L of the vector-vector and vector-tensor decay modes are measured to be 0.494 ± 0.034 ± 0.013 and 0.901 + 0.046 − 0.058 ± 0.037 , respectively. This polarization pattern requires the presence of a positive-helicity amplitude in the vector-vector decay from a currently unknown source.