# Amplitude analysis and measurement of the time-dependent CP asymmetry of $B^0 \to K_0^S K_0^S K_0^S$ decays

Abstract : We present the first results on the Dalitz-plot structure and improved measurements of the time-dependent CP-violation parameters of the process $B^0 \rightarrow K^0_S K^0_S K^0_S$ obtained using $468\times10^{6}$ $B\bar{B}$ decays collected with the BABAR detector at the PEP-II asymmetric-energy $B$ factory at SLAC. The Dalitz-plot structure is probed by a time-integrated amplitude analysis that does not distinguish between $B^0$ and $\bar{B}^0$ decays. We measure the total inclusive branching fraction ${\cal B}($B^0$\rightarrow K^0_S K^0_S K^0_S)=\rm (6.19 \pm 0.48 \pm 0.15 \pm 0.12)\times 10^{-6}$, where the first uncertainty is statistical, the second is systematic, and the third represents the Dalitz-plot signal model dependence. We also observe evidence for the intermediate resonant states $f_0(980)$, $f_0(1710)$, and $f_2(2010)$. Their respective product branching fractions are measured to be $\rm(2.70\,^{+1.25}_{-1.19} \pm 0.36 \pm 1.17)\times 10^{-6}$, $\rm(0.50\,^{+0.46}_{-0.24} \pm 0.04 \pm 0.10)\times 10^{-6}$, and $\rm(0.54\,^{+0.21}_{-0.20} \pm 0.03 \pm 0.52)\times 10^{-6}$. Additionally, we determine the mixing-induced CP-violation parameters to be ${\cal S} = -0.94\,^{+0.24}_{-0.21} \pm 0.06$ and ${\cal C} = -0.17 \pm 0.18 \pm 0.04$, where the first uncertainty is statistical and the second is systematic. These values are in agreement with the standard model expectation.
Document type :
Journal articles

http://hal.in2p3.fr/in2p3-00642644
Contributor : Claudine Bombar <>
Submitted on : Friday, November 18, 2011 - 2:21:43 PM
Last modification on : Tuesday, June 30, 2020 - 10:00:37 AM

### Citation

J. P. Lees, V. Poireau, V. Tisserand, D. Bernard, M. Verderi, et al.. Amplitude analysis and measurement of the time-dependent CP asymmetry of $B^0 \to K_0^S K_0^S K_0^S$ decays. Physical Review D, American Physical Society, 2012, 85, pp.054023. ⟨10.1103/PhysRevD.85.054023⟩. ⟨in2p3-00642644⟩

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