Time-dependent Dalitz plot measurement ofCPparameters inB0→KS0π+π−decays
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Abstract
We present a time-dependent Dalitz plot measurement of $CP$ violation parameters in ${B}^{0}\ensuremath{\rightarrow}{K}_{S}^{0}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ decays. These results are obtained from a large data sample that contains $657\ifmmode\times\else\texttimes\fi{}{10}^{6}$ $B\overline{B}$ pairs collected at the $\ensuremath{\Upsilon}(4S)$ resonance with the Belle detector at the KEKB asymmetric-energy ${e}^{+}{e}^{\ensuremath{-}}$ collider. For the $CP$ violation parameters, we obtain two consistent solutions that describe the data well. The first of these solutions may be preferred by external information from other measurements. There is no evidence for direct $CP$ violation in ${B}^{0}\ensuremath{\rightarrow}{\ensuremath{\rho}}^{0}(770){K}_{S}^{0}$, ${B}^{0}\ensuremath{\rightarrow}{f}_{0}(980){K}_{S}^{0}$ and ${B}^{0}\ensuremath{\rightarrow}{K}^{*+}(892){\ensuremath{\pi}}^{\ensuremath{-}}$, while measurements of mixing-induced $CP$ violation in ${B}^{0}\ensuremath{\rightarrow}{\ensuremath{\rho}}^{0}(770){K}_{S}^{0}$ and ${B}^{0}\ensuremath{\rightarrow}{f}_{0}(980){K}_{S}^{0}$ decays are consistent with that of $b\ensuremath{\rightarrow}c\overline{c}s$ decays. We also measured the phase difference between ${B}^{0}\ensuremath{\rightarrow}{K}^{*+}(892){\ensuremath{\pi}}^{\ensuremath{-}}$ and ${\overline{B}}^{0}\ensuremath{\rightarrow}{K}^{*\ensuremath{-}}(892){\ensuremath{\pi}}^{+}$, which may be used to extract ${\ensuremath{\phi}}_{3}$.
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