Measurement of CP violating asymmetries in B^0 -> K^+K^- K^0_S decays with a time-dependent Dalitz approach

Abstract

We report a measurement of $CP$ violating asymmetries in $B^0({\overline{B}}^0)\to K^{+}{K}^{-}{K}_S^0$ decays with a time-dependent Dalitz approach. This analysis is based on a data sample of $657\times 10^6$ $B\overline{B}$ pairs accumulated at the ${\rm Y}(4S)$ resonance with the Belle detector at the KEKB asymmetric-energy $e^{+}{e}^{-}$ collider. As the result of an unbinned maximum likelihood fit to the selected candidates, the mixing-induced and direct $CP$ violation parameters, ${\varphi }_1^{\mathrm{eff}}$ and ${\mathcal{A}}_{CP}$ are obtained for $B^0\to \varphi (1020)K_S^0$, $B^0\to f_0(980)K_S^0$ and other $B^0\to K^{+}{K}^{-}{K}_S^0$ decays. We find four solutions that describe the data. There are \{eqnarray*} ϕ_1^{\rm eff}(B^0\to ϕ(1020) K^0_S) & = & (32.2 \pm 9.0 \pm 2.6 \pm 1.4)^{\circ}; ϕ_1^{\rm eff}(B^0\to ϕ(1020) K^0_S) & = & (26.2 \pm 8.8 \pm 2.7 \pm 1.2)^{\circ};\\ ϕ_1^{\rm eff}(B^0\to ϕ(1020) K^0_S) & = & (27.3 \pm 8.6 \pm 2.8 \pm 1.3)^{\circ}\; {\rm and}\\ ϕ_1^{\rm eff}(B^0\to ϕ(1020) K^0_S) & = & (24.3 \pm 8.0 \pm 2.9 \pm 5.2)^{\circ}.{eqnarray*}\ The values for the $CP$ violating phase in $B^0\to \varphi (1020)K_S^0$ are similar but other properties of the Dalitz plot are quite different for the four solutions. These four solutions have consistent ${\varphi }_1^{\mathrm{eff}}$ values for all three $B$ meson decay channels and none of them deviates significantly from the values measured in $B\to (c\bar{c})K^0$ decays with the currently available statistics. In addition, we find no significant direct $CP$ violation.

arXiv commentsubmitted to PRD

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