A proton-proton collision data sample, corresponding to an integrated luminosity of 3 fb$^{-1}$ collected by LHCb at $\sqrt{s}=7$ and 8 TeV, is used to reconstruct $63\pm9$ $\Omega_b^-\to\Omega_c^0\pi^-$, $\Omega_c^0\to pK^-K^-\pi^+$ decays. Using the $\Xi_b^-\to\Xi_c^0\pi^-$, $\Xi_c^0\to pK^-K^-\pi^+$ decay mode for calibration, the lifetime ratio and absolute lifetime of the $\Omega_b^-$ baryon are measured to be \begin{align*} \frac{\tau_{\Omega_b^-}}{\tau_{\Xi_b^-}} &= 1.11\pm0.16\pm0.03, \\ \tau_{\Omega_b^-} &= 1.78\pm0.26\pm0.05\pm0.06 {\rm ps}, \end{align*} where the uncertainties are statistical, systematic and from the calibration mode (for $\tau_{\Omega_b^-}$ only). A measurement is also made of the mass difference, $m_{\Omega_b^-}-m_{\Xi_b^-}$, and the corresponding $\Omega_b^-$ mass, which yields \begin{align*} m_{\Omega_b^-}-m_{\Xi_b^-} &= 247.4\pm3.2\pm0.5 {\rm MeV}/c^2, \\ m_{\Omega_b^-} &= 6045.1\pm3.2\pm 0.5\pm0.6 {\rm MeV}/c^2. \end{align*} These results are consistent with previous measurements.
Invariant mass distribution for (left) $\Xi ^0_ c \rightarrow p K ^- K ^- \pi ^+ $ and (right) $\Omega ^0_ c \rightarrow p K ^- K ^- \pi ^+ $ candidates over the full $X_b$ fit regions. The corresponding simulations (sim.) are overlaid. The vertical arrows indicate the signal regions, and the horizontal ones show the sideband regions. |
XcMassComp.pdf [27 KiB] HiDef png [175 KiB] Thumbnail [153 KiB] *.C file |
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Results of the simultaneous mass fit to the signal and calibration modes. The fitted $\Omega ^-_ b $ combinatorial (comb.) background yield is very small, and not clearly visible. |
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Results of the simultaneous mass fit to the $\Omega ^-_ b $ signal in the four decay time bins, as indicated in each plot. |
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Results of the simultaneous mass fit to the $\Xi ^-_ b $ signal in the four decay time bins, as indicated in each plot. |
Xib2Xi[..].pdf [21 KiB] HiDef png [289 KiB] Thumbnail [213 KiB] *.C file |
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Xib2Xi[..].pdf [21 KiB] HiDef png [279 KiB] Thumbnail [208 KiB] *.C file |
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Corrected signal yield ratio as a function of decay time, along with a fit to an exponential function. The horizontal bars indicate the bin sizes, and are not an indication of the uncertainty. |
CorrYi[..].pdf [14 KiB] HiDef png [76 KiB] Thumbnail [55 KiB] *.C file |
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Animated gif made out of all figures. |
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Results of the fit to data for each decay time bin, and the relative efficiency. The uncertainties are statistical only. |
Table_1.pdf [43 KiB] HiDef png [51 KiB] Thumbnail [27 KiB] tex code |
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Summary of systematic uncertainties in $\delta m$ and the lifetime ratio. When two values are indicated, the first is a correction, and the second is the uncertainty. |
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Created on 02 May 2024.