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| CMS-BPH-13-008 ; CERN-EP-2017-244 | ||
| Measurement of b hadron lifetimes in pp collisions at $\sqrt{s} = $ 8 TeV | ||
| CMS Collaboration | ||
| 24 October 2017 | ||
| Eur. Phys. J. C 78 (2018) 457 [Erratum] | ||
| Abstract: Measurements are presented of the lifetimes of the $ \mathrm{B}^{0} $, $ \mathrm{B}^{0}_{\mathrm{s}} $, $\Lambda_\mathrm{b}^0$, and $ \mathrm{B}_{\mathrm{c}}^{+} $ hadrons using the decay channels ${\mathrm{B}^{0} \!\to\! \mathrm{J}/\psi {\mathrm{K^{*}(892)}}^{0}}$, ${\mathrm{B}^{0} \!\to\! \mathrm{J}/\psi {\mathrm{K^0_S}}}$, ${\mathrm{B}^{0}_{\mathrm{s}} \!\to\! \mathrm{J}/\psi \pi^{+} \pi^{-}}$, ${\mathrm{B}^{0}_{\mathrm{s}} \!\to\! \mathrm{J}/\psi \phi(1020)}$, $ \Lambda_{\mathrm{b}} \to \mathrm{J}/\psi \Lambda $, and $ \mathrm{B}_{\mathrm{c}}^{+} \to \mathrm{J}/\psi \pi^{+} $. The data sample, corresponding to an integrated luminosity of 19.7 fb$^{-1}$, was collected by the CMS detector at the LHC in proton-proton collisions at $\sqrt{s} = $ 8 TeV. The $ \mathrm{B}^{0} $ lifetime is measured to be 453.0 $\pm$ 1.6 (stat) $\pm$ 1.5 (syst) $\mu$m in ${\mathrm{J}/\psi {\mathrm{K^{*}(892)}}^{0}} $ and 457.8 $\pm$ 2.7 (stat) $\pm$ 2.7 (syst) $\mu$m in ${\mathrm{J}/\psi {\mathrm{K^0_S}}}$, which results in a combined measurement of $c\tau_{\mathrm{B}^{0}} = $ 454.1 $\pm$ 1.4 (stat) $\pm$ 1.3 (syst) $\mu$m. The effective lifetime of the $ \mathrm{B}^{0}_{\mathrm{s}} $ meson is measured in two decay modes, with contributions from different amounts of the heavy and light eigenstates. This results in two different measured lifetimes: $c\tau_{\mathrm{B}^{0}_{\mathrm{s}} \to \mathrm{J}/\psi \pi^{+} \pi^{-}} = $ 502.7 $\pm$ 10.2 (stat) $\pm$ 3.2 (syst) $\mu$m and $c\tau_{\mathrm{B}^{0}_{\mathrm{s}} \to \mathrm{J}/\psi \phi(1020)} = $ 443.9 $\pm$ 2.0 (stat) $\pm$ 1.2 (syst) $\mu$m. The $\Lambda_\mathrm{b}^0$ lifetime is found to be 442.9 $\pm$ 8.2 (stat) $\pm$ 2.7 (syst) $\mu$m. The precision from each of these channels is as good as or better than previous measurements. The $ \mathrm{B}_{\mathrm{c}}^{+} $ lifetime, measured with respect to the $ \mathrm{B^{+}} $ to reduce the systematic uncertainty, is 162.3 $\pm$ 8.2 (stat) $\pm$ 4.7 (syst) $\pm$ 0.1 ($\tau_{\mathrm{B^{+}}}$) $\mu$m. All results are in agreement with current world-average values. | ||
| Links: e-print arXiv:1710.08949 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; HepData record ; CADI line (restricted) ; | ||
| Figures | |
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Figure 1:
The combined reconstruction and selection efficiency from simulation versus ${ct}$ with a superimposed fit to an inverse power function for ${\mathrm{B^{+}} \to \mathrm{J}/\psi \mathrm{K^{+}}}$ (upper left), ${\Lambda_{\mathrm{b}}^{0} \to \mathrm{J}/\psi \Lambda ^{0}} $ (upper right), $ {\mathrm{B}^{0} \to \mathrm{J}/\psi {\mathrm{K^0_S}}}$ (centre left), ${\mathrm{B}^{0} \to \mathrm{J}/\psi {\mathrm{K^{*}(892)}} ^{0}} $ (centre right), ${\mathrm{B}^{0}_{\mathrm{s}} \to \mathrm{J}/\psi \pi^{+} \pi^{-}} $ (lower left), and $ {\mathrm{B}^{0}_{\mathrm{s}} \to \mathrm{J}/\psi \phi (1020)} $ (lower right). The efficiency scale is arbitrary. |
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Figure 1-a:
The combined reconstruction and selection efficiency from simulation versus ${ct}$ with a superimposed fit to an inverse power function for ${\mathrm{B^{+}} \to \mathrm{J}/\psi \mathrm{K^{+}}}$. The efficiency scale is arbitrary. |
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Figure 1-b:
The combined reconstruction and selection efficiency from simulation versus ${ct}$ with a superimposed fit to an inverse power function for ${\Lambda_{\mathrm{b}}^{0} \to \mathrm{J}/\psi \Lambda ^{0}} $. The efficiency scale is arbitrary. |
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Figure 1-c:
The combined reconstruction and selection efficiency from simulation versus ${ct}$ with a superimposed fit to an inverse power function for $ {\mathrm{B}^{0} \to \mathrm{J}/\psi {\mathrm{K^0_S}}}$. The efficiency scale is arbitrary. |
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Figure 1-d:
The combined reconstruction and selection efficiency from simulation versus ${ct}$ with a superimposed fit to an inverse power function for ${\mathrm{B}^{0} \to \mathrm{J}/\psi {\mathrm{K^{*}(892)}} ^{0}} $. The efficiency scale is arbitrary. |
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Figure 1-e:
The combined reconstruction and selection efficiency from simulation versus ${ct}$ with a superimposed fit to an inverse power function for ${\mathrm{B}^{0}_{\mathrm{s}} \to \mathrm{J}/\psi \pi^{+} \pi^{-}} $. The efficiency scale is arbitrary. |
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Figure 1-f:
The combined reconstruction and selection efficiency from simulation versus ${ct}$ with a superimposed fit to an inverse power function for $ {\mathrm{B}^{0}_{\mathrm{s}} \to \mathrm{J}/\psi \phi (1020)} $. The efficiency scale is arbitrary. |
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Figure 2:
Invariant mass (left) and $ct$ (right) distributions for ${\mathrm{B^{+}}} $ (upper) and for $\Lambda_{\mathrm{b}}^{0}$ (lower) candidates. The curves are projections of the fit to the data, with the contributions from signal (dashed), background (dotted), and the sum of signal and background (solid) shown. The bottom panels of the figures on the right show the difference between the observed data and the fit divided by the data uncertainty. The vertical bars on the data points represent the statistical uncertainties. |
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Figure 2-a:
Invariant mass distribution for ${\mathrm{B^{+}}} $ candidates. The curves are projections of the fit to the data, with the contributions from signal (dashed), background (dotted), and the sum of signal and background (solid) shown. The vertical bars on the data points represent the statistical uncertainties. |
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Figure 2-b:
$ct$ distribution for $\Lambda_{\mathrm{b}}^{0}$ candidates. The curves are projections of the fit to the data, with the contributions from signal (dashed), background (dotted), and the sum of signal and background (solid) shown. The bottom panel shows the difference between the observed data and the fit divided by the data uncertainty. The vertical bars on the data points represent the statistical uncertainties. |
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Figure 2-c:
Invariant mass distribution for ${\mathrm{B^{+}}} $ candidates. The curves are projections of the fit to the data, with the contributions from signal (dashed), background (dotted), and the sum of signal and background (solid) shown.The vertical bars on the data points represent the statistical uncertainties. |
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Figure 2-d:
$ct$ distribution for $\Lambda_{\mathrm{b}}^{0}$ candidates. The curves are projections of the fit to the data, with the contributions from signal (dashed), background (dotted), and the sum of signal and background (solid) shown. The bottom panel shows the difference between the observed data and the fit divided by the data uncertainty. The vertical bars on the data points represent the statistical uncertainties. |
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Figure 3:
Invariant mass (left) and $ct$ (right) distributions for $ \mathrm{B}^{0} $ candidates reconstructed from $ {\mathrm{J}/\psi {\mathrm{K^{*}(892)}} ^{0}} $ (upper) and $ {\mathrm{J}/\psi {\mathrm{K^0_S}}} $ (lower) decays. The curves are projections of the fit to the data, with the contributions from signal (dashed), background (dotted), and the sum of signal and background (solid) shown. The bottom panels of the figures on the right show the difference between the observed data and the fit divided by the data uncertainty. The vertical bars on the data points represent the statistical uncertainties. |
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Figure 3-a:
Invariant mass distribution for $ \mathrm{B}^{0} $ candidates reconstructed from $ {\mathrm{J}/\psi {\mathrm{K^{*}(892)}} ^{0}} $ decays. The curves are projections of the fit to the data, with the contributions from signal (dashed), background (dotted), and the sum of signal and background (solid) shown. The vertical bars on the data points represent the statistical uncertainties. |
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Figure 3-b:
$ct$ distribution for $ \mathrm{B}^{0} $ candidates reconstructed from $ {\mathrm{J}/\psi {\mathrm{K^{*}(892)}} ^{0}} $ decays. The curves are projections of the fit to the data, with the contributions from signal (dashed), background (dotted), and the sum of signal and background (solid) shown. The bottom panel shows the difference between the observed data and the fit divided by the data uncertainty. The vertical bars on the data points represent the statistical uncertainties. |
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Figure 3-c:
Invariant mass distribution for $ \mathrm{B}^{0} $ candidates reconstructed from $ {\mathrm{J}/\psi {\mathrm{K^0_S}}} $ decays. The curves are projections of the fit to the data, with the contributions from signal (dashed), background (dotted), and the sum of signal and background (solid) shown. The vertical bars on the data points represent the statistical uncertainties. |
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Figure 3-d:
$ct$ distribution for $ \mathrm{B}^{0} $ candidates reconstructed from $ {\mathrm{J}/\psi {\mathrm{K^0_S}}} $ decays. The curves are projections of the fit to the data, with the contributions from signal (dashed), background (dotted), and the sum of signal and background (solid) shown. The bottom panel shows the difference between the observed data and the fit divided by the data uncertainty. The vertical bars on the data points represent the statistical uncertainties. |
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Figure 4:
Invariant mass (left) and $ct$ (right) distributions for ${ \mathrm{B}^{0}_{\mathrm{s}} }$ candidates reconstructed from ${\mathrm{J}/\psi \phi (1020)}$ (upper) and ${\mathrm{J}/\psi \pi^{+} \pi^{-}}$ (lower) decays. The curves are projections of the fit to the data, with the full fit function (solid) and signal (dashed) shown for both decays, the total background (dotted) shown for the upper plots, and the combinatorial background (dotted), misidentified ${\mathrm{B^{+}} \to \mathrm{J}/\psi \mathrm{K^{+}}}$ background (dashed-dotted), ${\mathrm{B}^{0} \to \mathrm{J}/\psi \pi^{+} \pi^{-}} $ contribution (dashed-dotted-dotted-dotted), and partially reconstructed and other misidentified B backgrounds (dashed-dotted-dotted) shown for the lower plots. The bottom panels of the figures on the right show the difference between the observed data and the fit divided by the data uncertainty. The vertical bars on the data points represent the statistical uncertainties. |
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Figure 4-a:
Invariant mass distribution for ${ \mathrm{B}^{0}_{\mathrm{s}} }$ candidates reconstructed from ${\mathrm{J}/\psi \phi (1020)}$ decays. The curves are projections of the fit to the data, with the full fit function (solid) and signal (dashed) shown for both decays, the total background (dotted) shown for the upper plots, and the combinatorial background (dotted), misidentified ${\mathrm{B^{+}} \to \mathrm{J}/\psi \mathrm{K^{+}}}$ background (dashed-dotted), ${\mathrm{B}^{0} \to \mathrm{J}/\psi \pi^{+} \pi^{-}} $ contribution (dashed-dotted-dotted-dotted), and partially reconstructed and other misidentified B backgrounds (dashed-dotted-dotted) shown for the lower plots. The vertical bars on the data points represent the statistical uncertainties. |
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Figure 4-b:
$ct$ distribution for ${ \mathrm{B}^{0}_{\mathrm{s}} }$ candidates reconstructed from ${\mathrm{J}/\psi \phi (1020)}$ decays. The curves are projections of the fit to the data, with the full fit function (solid) and signal (dashed) shown for both decays, the total background (dotted) shown for the upper plots, and the combinatorial background (dotted), misidentified ${\mathrm{B^{+}} \to \mathrm{J}/\psi \mathrm{K^{+}}}$ background (dashed-dotted), ${\mathrm{B}^{0} \to \mathrm{J}/\psi \pi^{+} \pi^{-}} $ contribution (dashed-dotted-dotted-dotted), and partially reconstructed and other misidentified B backgrounds (dashed-dotted-dotted) shown for the lower plots. The bottom panel shows the difference between the observed data and the fit divided by the data uncertainty. The vertical bars on the data points represent the statistical uncertainties. |
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Figure 4-c:
Invariant mass distribution for ${ \mathrm{B}^{0}_{\mathrm{s}} }$ candidates reconstructed from ${\mathrm{J}/\psi \pi^{+} \pi^{-}}$ decays. The curves are projections of the fit to the data, with the full fit function (solid) and signal (dashed) shown for both decays, the total background (dotted) shown for the upper plots, and the combinatorial background (dotted), misidentified ${\mathrm{B^{+}} \to \mathrm{J}/\psi \mathrm{K^{+}}}$ background (dashed-dotted), ${\mathrm{B}^{0} \to \mathrm{J}/\psi \pi^{+} \pi^{-}} $ contribution (dashed-dotted-dotted-dotted), and partially reconstructed and other misidentified B backgrounds (dashed-dotted-dotted) shown for the lower plots. The vertical bars on the data points represent the statistical uncertainties. |
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Figure 4-d:
$ct$ distribution for ${ \mathrm{B}^{0}_{\mathrm{s}} }$ candidates reconstructed from ${\mathrm{J}/\psi \pi^{+} \pi^{-}}$ decays. The curves are projections of the fit to the data, with the full fit function (solid) and signal (dashed) shown for both decays, the total background (dotted) shown for the upper plots, and the combinatorial background (dotted), misidentified ${\mathrm{B^{+}} \to \mathrm{J}/\psi \mathrm{K^{+}}}$ background (dashed-dotted), ${\mathrm{B}^{0} \to \mathrm{J}/\psi \pi^{+} \pi^{-}} $ contribution (dashed-dotted-dotted-dotted), and partially reconstructed and other misidentified B backgrounds (dashed-dotted-dotted) shown for the lower plots. The bottom panel shows the difference between the observed data and the fit divided by the data uncertainty. The vertical bars on the data points represent the statistical uncertainties. |
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Figure 5:
The ${\mathrm{J}/\psi \pi^{+}} $ invariant mass distribution (left) with the solid line representing the total fit, the dashed line the signal component, the dotted line the combinatorial background, and the dashed-dotted line the contribution from $ {\mathrm{B}_{\mathrm{c}}^{+} \to \mathrm{J}/\psi \mathrm{K^{+}}} $ decays. The $ {\mathrm{J}/\psi \mathrm{K^{+}}} $ invariant mass distribution (right) with the solid line representing the total fit, the dashed line the signal component, the dotted-dashed curves the $\mathrm{B^{+}} \to {\mathrm{J}/\psi} \pi^{+} $ and $ \mathrm{B}^{0} $ contributions, and the dotted curve the combinatorial background. The vertical bars on the data points represent the statistical uncertainties. |
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Figure 5-a:
The ${\mathrm{J}/\psi \pi^{+}} $ invariant mass distribution with the solid line representing the total fit, the dashed line the signal component, the dotted line the combinatorial background, and the dashed-dotted line the contribution from $ {\mathrm{B}_{\mathrm{c}}^{+} \to \mathrm{J}/\psi \mathrm{K^{+}}} $ decays. The vertical bars on the data points represent the statistical uncertainties. |
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Figure 5-b:
The $ {\mathrm{J}/\psi \mathrm{K^{+}}} $ invariant mass distribution (right) with the solid line representing the total fit, the dashed line the signal component, the dotted-dashed curves the $\mathrm{B^{+}} \to {\mathrm{J}/\psi} \pi^{+} $ and $ \mathrm{B}^{0} $ contributions, and the dotted curve the combinatorial background. The vertical bars on the data points represent the statistical uncertainties. |
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Figure 6:
Left: Yields of $ {\mathrm{B}_{\mathrm{c}}^{+} \to \mathrm{J}/\psi \pi^{+}} and {\mathrm{B^{+}} \to \mathrm{J}/\psi \mathrm{K^{+}}} $ events as a function of ${ct}$, normalized to the bin width, as determined from fits to the invariant mass distributions. Right: Ratio of the $ \mathrm{B}_{\mathrm{c}}^{+} $ and $ \mathrm{B^{+}} $ efficiency distributions as a function of ${ct}$, as determined from simulated events. The vertical bars on the data points represent the statistical uncertainties, and the horizontal bars show the bin widths. |
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Figure 6-a:
Yields of $ {\mathrm{B}_{\mathrm{c}}^{+} \to \mathrm{J}/\psi \pi^{+}} and {\mathrm{B^{+}} \to \mathrm{J}/\psi \mathrm{K^{+}}} $ events as a function of ${ct}$, normalized to the bin width, as determined from fits to the invariant mass distributions. The vertical bars on the data points represent the statistical uncertainties, and the horizontal bars show the bin widths. |
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Figure 6-b:
Ratio of the $ \mathrm{B}_{\mathrm{c}}^{+} $ and $ \mathrm{B^{+}} $ efficiency distributions as a function of ${ct}$, as determined from simulated events. The vertical bars on the data points represent the statistical uncertainties, and the horizontal bars show the bin widths. |
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Figure 7:
Ratio of the $\mathrm{B}_{\mathrm{c}}^{+} to \mathrm{B^{+}} $ efficiency-corrected ${ct}$ distributions, $R/R_{\varepsilon}$, with a line showing the result of the fit to an exponential function. The vertical bars give the statistical uncertainty in the data, and the horizontal bars show the bin widths. |
| Tables | |
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Table 1:
Summary of the sources and values of systematic uncertainties in the lifetime measurements (in $\mu$m). The total systematic uncertainty is the sum in quadrature of the individual uncertainties. |
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Table 2:
Summary of the systematic uncertainties in the $\Delta \Gamma $ and $c\tau _{\mathrm{B}_{\mathrm{c}}^{+}}$ measurements. |
| Summary |
| The lifetimes of the $ \mathrm{B}^{0} $, $ \mathrm{B}^{0}_{\mathrm{s}} $, $ \Lambda_{\mathrm{b}}^{0} $, and $ \mathrm{B}_{\mathrm{c}}^{+} $ hadrons have been measured using fully reconstructed decays with a $ {\mathrm{J}/\psi} $ meson. The data were collected by the CMS detector in proton-proton collision events at a centre-of-mass energy of 8 TeV, and correspond to an integrated luminosity of 19.7 fb$^{-1}$. The $ \mathrm{B}^{0} $ and $ \mathrm{B}^{0}_{\mathrm{s}} $ meson lifetimes have each been measured in two channels: ${\mathrm{J}/\psi {\mathrm{K^{*}(892)}}^{0}}$, ${\mathrm{J}/\psi {\mathrm{K^0_S}}}$ for $ \mathrm{B}^{0} $ and ${\mathrm{J}/\psi \pi^{+} \pi^{-}}$, ${\mathrm{J}/\psi \phi(1020)}$ for $ \mathrm{B}^{0}_{\mathrm{s}} $. The precision from each channel is as good as or better than previous measurements in the respective channel. The $ \mathrm{B}^{0}_{\mathrm{s}} $ lifetime results are used to obtain the lifetimes of the heavy and light $ \mathrm{B}^{0}_{\mathrm{s}} $ mass eigenstates. The precision of the $ \Lambda_{\mathrm{b}}^{0} $ lifetime measurement is also as good as any previous measurement in the ${\mathrm{J}/\psi \Lambda^{0}}$ channel. The measurement of the $\mathrm{B}_{\mathrm{c}}^{+}$ meson lifetime confirms a longer lifetime than found by the Tevatron experiments, in agreement with results from LHCb. All measured lifetimes are compatible with the current world-average values. |
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