# Time-dependent and time-integrated angular analysis of $B\to\varphi K^0_S\pi^0$ and $\varphi K^\pm\pi^\mp$

Abstract : We perform a time-dependent and time-integrated angular analysis of the decays $B^0\to\varphi K^{*}(892)^0$, $\varphi K^{*}_2(1430)^0$, and $\varphi(K\pi)^{*0}_{0}$ 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 $K\pi$ 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 $B\to\varphi K^0_S\pi^0$ channel to extract the CP-violation phase difference $\Delta\phi_{00}=0.28\pm0.42\pm 0.04$ between the $B$ and $\Bbar$ decay amplitudes. When the $B\to\varphi K^\pm\pi^\mp$ channel is included, the fractions of longitudinal polarization ${f_L}$ of the vector-vector and vector-tensor decay modes are measured to be $0.494\pm0.034\pm0.013$ and $0.901^{+0.046}_{-0.058}\pm 0.037$, respectively. This polarization pattern requires the presence of a positive-helicity amplitude in the vector-vector decay from a currently unknown source.
Document type :
Journal articles

http://hal.in2p3.fr/in2p3-00315931
Contributor : Claudine Bombar <>
Submitted on : Monday, September 1, 2008 - 5:30:56 PM
Last modification on : Wednesday, September 16, 2020 - 4:14:40 PM

### Citation

B. Aubert, M. Bona, Y. Karyotakis, J.P. Lees, V. Poireau, et al.. Time-dependent and time-integrated angular analysis of $B\to\varphi K^0_S\pi^0$ and $\varphi K^\pm\pi^\mp$. Physical Review D, American Physical Society, 2008, 78, pp.092008. ⟨10.1103/PhysRevD.78.092008⟩. ⟨in2p3-00315931⟩

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