Time-dependent and time-integrated angular analysis of B→ϕKS0π0B\toϕK^0_Sπ^0 and ϕK±π∓ϕK^\pmπ^\mp

preprint2008arXivOpen access

Abstract

We perform a time-dependent and time-integrated angular analysis of the decays B0→ϕK∗(892)0B^0\toϕK^{*}(892)^0, ϕK2∗(1430)0ϕK^{*}_2(1430)^0, and ϕ(Kπ)0∗0ϕ(Kπ)^{*0}_{0} with the final sample of about 465 million $\BB$ pairs recorded with the $\babar$ detector. Twenty-four parameters are investigated, including the branching fractions, CP-violation parameters, and parameters sensitive to final-state interactions. We use the dependence on the KπKπ 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→ϕKS0π0B\toϕK^0_Sπ^0 channel to extract the CP-violation phase difference Δϕ00=0.28±0.42±0.04Δϕ_{00}=0.28\pm0.42\pm 0.04 between the BB and $\Bbar$ decay amplitudes. When the B→ϕK±π∓B\toϕK^\pmπ^\mp channel is included, the fractions of longitudinal polarization fL{f_L} of the vector-vector and vector-tensor decay modes are measured to be 0.494±0.034±0.0130.494\pm0.034\pm0.013 and 0.901−0.058+0.046±0.0370.901^{+0.046}_{-0.058}\pm 0.037, respectively. This polarization pattern requires the presence of a positive-helicity amplitude in the vector-vector decay from a currently unknown source.

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