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| CMS-BPH-22-001 ; CERN-EP-2024-172 | ||
| Measurement of the $ \mathrm{B}_{s}^{0} \to \mathrm{J}/\psi\mathrm{K^0_S} $ effective lifetime from proton-proton collisions at $ \sqrt{s} = $ 13 TeV | ||
| CMS Collaboration | ||
| 18 July 2024 | ||
| JHEP 10 (2024) 247 | ||
| Abstract: The effective lifetime of the $ \mathrm{B}_{s}^{0} $ meson in the decay $ \mathrm{B}_{s}^{0} \to \mathrm{J}/\psi\mathrm{K^0_S} $ is measured using data collected during 2016-2018 with the CMS detector in $ \sqrt{s}= $ 13 TeV proton-proton collisions at the LHC, corresponding to an integrated luminosity of 140 fb$ ^{-1} $. The effective lifetime is determined by performing a two-dimensional unbinned maximum likelihood fit to the $ \mathrm{B}_{s}^{0} $ meson invariant mass and proper decay time distributions. The resulting value of 1.59 $ \pm $ 0.07 (stat) $ \pm $ 0.03 (syst) ps is the most precise measurement to date and is in good agreement with the expected value. | ||
| Links: e-print arXiv:2407.13441 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; HepData record ; CADI line (restricted) ; | ||
| Figures | |
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Figure 1:
The tree-level (left) and penguin (right) Feynman diagrams for the decays $ {\mathrm{B}^0} \to \mathrm{J}/\psi\mathrm{K^0_S} $ and $ \mathrm{B}_{s}^{0} \to \mathrm{J}/\psi\mathrm{K^0_S} $. |
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Figure 1-a:
The tree-level (left) and penguin (right) Feynman diagrams for the decays $ {\mathrm{B}^0} \to \mathrm{J}/\psi\mathrm{K^0_S} $ and $ \mathrm{B}_{s}^{0} \to \mathrm{J}/\psi\mathrm{K^0_S} $. |
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Figure 1-b:
The tree-level (left) and penguin (right) Feynman diagrams for the decays $ {\mathrm{B}^0} \to \mathrm{J}/\psi\mathrm{K^0_S} $ and $ \mathrm{B}_{s}^{0} \to \mathrm{J}/\psi\mathrm{K^0_S} $. |
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Figure 2:
The signal efficiency as a function of the decay time for the $ {\mathrm{B}^0} \to \mathrm{J}/\psi\mathrm{K^0_S} $ (upper) and $ \mathrm{B}_{s}^{0} \to \mathrm{J}/\psi\mathrm{K^0_S} $ (lower) decays from simulation for each of the three data-taking years. The vertical bars indicate the statistical uncertainty, and the horizontal bars give bin widths. The curves show the fit results. |
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Figure 2-a:
The signal efficiency as a function of the decay time for the $ {\mathrm{B}^0} \to \mathrm{J}/\psi\mathrm{K^0_S} $ (upper) and $ \mathrm{B}_{s}^{0} \to \mathrm{J}/\psi\mathrm{K^0_S} $ (lower) decays from simulation for each of the three data-taking years. The vertical bars indicate the statistical uncertainty, and the horizontal bars give bin widths. The curves show the fit results. |
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Figure 2-b:
The signal efficiency as a function of the decay time for the $ {\mathrm{B}^0} \to \mathrm{J}/\psi\mathrm{K^0_S} $ (upper) and $ \mathrm{B}_{s}^{0} \to \mathrm{J}/\psi\mathrm{K^0_S} $ (lower) decays from simulation for each of the three data-taking years. The vertical bars indicate the statistical uncertainty, and the horizontal bars give bin widths. The curves show the fit results. |
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Figure 2-c:
The signal efficiency as a function of the decay time for the $ {\mathrm{B}^0} \to \mathrm{J}/\psi\mathrm{K^0_S} $ (upper) and $ \mathrm{B}_{s}^{0} \to \mathrm{J}/\psi\mathrm{K^0_S} $ (lower) decays from simulation for each of the three data-taking years. The vertical bars indicate the statistical uncertainty, and the horizontal bars give bin widths. The curves show the fit results. |
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Figure 2-d:
The signal efficiency as a function of the decay time for the $ {\mathrm{B}^0} \to \mathrm{J}/\psi\mathrm{K^0_S} $ (upper) and $ \mathrm{B}_{s}^{0} \to \mathrm{J}/\psi\mathrm{K^0_S} $ (lower) decays from simulation for each of the three data-taking years. The vertical bars indicate the statistical uncertainty, and the horizontal bars give bin widths. The curves show the fit results. |
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Figure 2-e:
The signal efficiency as a function of the decay time for the $ {\mathrm{B}^0} \to \mathrm{J}/\psi\mathrm{K^0_S} $ (upper) and $ \mathrm{B}_{s}^{0} \to \mathrm{J}/\psi\mathrm{K^0_S} $ (lower) decays from simulation for each of the three data-taking years. The vertical bars indicate the statistical uncertainty, and the horizontal bars give bin widths. The curves show the fit results. |
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Figure 2-f:
The signal efficiency as a function of the decay time for the $ {\mathrm{B}^0} \to \mathrm{J}/\psi\mathrm{K^0_S} $ (upper) and $ \mathrm{B}_{s}^{0} \to \mathrm{J}/\psi\mathrm{K^0_S} $ (lower) decays from simulation for each of the three data-taking years. The vertical bars indicate the statistical uncertainty, and the horizontal bars give bin widths. The curves show the fit results. |
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Figure 3:
Distributions of the $ \mathrm{J}/\psi\mathrm{K^0_S} $ invariant mass (left) and proper decay time (right) from data (points) and the results from the 2D UML fit projections (lines) for the 2016-2018 data set. The vertical bars on the data points indicate the statistical uncertainty. The solid, dotted-dashed, dashed, and dotted lines show the total fit, $ {\mathrm{B}^0} $ control channel, $ \mathrm{B}_{s}^{0} $ signal, and background contributions, respectively. |
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Figure 3-a:
Distributions of the $ \mathrm{J}/\psi\mathrm{K^0_S} $ invariant mass (left) and proper decay time (right) from data (points) and the results from the 2D UML fit projections (lines) for the 2016-2018 data set. The vertical bars on the data points indicate the statistical uncertainty. The solid, dotted-dashed, dashed, and dotted lines show the total fit, $ {\mathrm{B}^0} $ control channel, $ \mathrm{B}_{s}^{0} $ signal, and background contributions, respectively. |
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Figure 3-b:
Distributions of the $ \mathrm{J}/\psi\mathrm{K^0_S} $ invariant mass (left) and proper decay time (right) from data (points) and the results from the 2D UML fit projections (lines) for the 2016-2018 data set. The vertical bars on the data points indicate the statistical uncertainty. The solid, dotted-dashed, dashed, and dotted lines show the total fit, $ {\mathrm{B}^0} $ control channel, $ \mathrm{B}_{s}^{0} $ signal, and background contributions, respectively. |
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Figure 4:
The proper decay time distribution from data (points) for events in the $ \mathrm{B}_{s}^{0} $ signal region with $ \mathrm{J}/\psi\mathrm{K^0_S} $ invariant mass in the range 5.34-5.42 GeV and the results from the 2D UML fit projections (lines) for the 2016-2018 data set. The vertical bars on the data points indicate the statistical uncertainty. The dashed, dotted-dashed, dotted, and solid lines show the $ \mathrm{B}_{s}^{0} $ signal, $ {\mathrm{B}^0} $ control channel, background, and total fit contributions, respectively. |
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Figure 5:
Distributions of the $ \mathrm{J}/\psi\mathrm{K^0_S} $ invariant mass (upper) and decay time (lower) from data (points), along with the projections from the 2D UML fit for each year of data taking. The vertical bars on the data points indicate the statistical uncertainty. The dashed, dotted-dashed, dotted, and solid lines represent the signal, control channel, background, and total fit contributions, respectively. |
png pdf |
Figure 5-a:
Distributions of the $ \mathrm{J}/\psi\mathrm{K^0_S} $ invariant mass (upper) and decay time (lower) from data (points), along with the projections from the 2D UML fit for each year of data taking. The vertical bars on the data points indicate the statistical uncertainty. The dashed, dotted-dashed, dotted, and solid lines represent the signal, control channel, background, and total fit contributions, respectively. |
png pdf |
Figure 5-b:
Distributions of the $ \mathrm{J}/\psi\mathrm{K^0_S} $ invariant mass (upper) and decay time (lower) from data (points), along with the projections from the 2D UML fit for each year of data taking. The vertical bars on the data points indicate the statistical uncertainty. The dashed, dotted-dashed, dotted, and solid lines represent the signal, control channel, background, and total fit contributions, respectively. |
png pdf |
Figure 5-c:
Distributions of the $ \mathrm{J}/\psi\mathrm{K^0_S} $ invariant mass (upper) and decay time (lower) from data (points), along with the projections from the 2D UML fit for each year of data taking. The vertical bars on the data points indicate the statistical uncertainty. The dashed, dotted-dashed, dotted, and solid lines represent the signal, control channel, background, and total fit contributions, respectively. |
png pdf |
Figure 5-d:
Distributions of the $ \mathrm{J}/\psi\mathrm{K^0_S} $ invariant mass (upper) and decay time (lower) from data (points), along with the projections from the 2D UML fit for each year of data taking. The vertical bars on the data points indicate the statistical uncertainty. The dashed, dotted-dashed, dotted, and solid lines represent the signal, control channel, background, and total fit contributions, respectively. |
png pdf |
Figure 5-e:
Distributions of the $ \mathrm{J}/\psi\mathrm{K^0_S} $ invariant mass (upper) and decay time (lower) from data (points), along with the projections from the 2D UML fit for each year of data taking. The vertical bars on the data points indicate the statistical uncertainty. The dashed, dotted-dashed, dotted, and solid lines represent the signal, control channel, background, and total fit contributions, respectively. |
png pdf |
Figure 5-f:
Distributions of the $ \mathrm{J}/\psi\mathrm{K^0_S} $ invariant mass (upper) and decay time (lower) from data (points), along with the projections from the 2D UML fit for each year of data taking. The vertical bars on the data points indicate the statistical uncertainty. The dashed, dotted-dashed, dotted, and solid lines represent the signal, control channel, background, and total fit contributions, respectively. |
png pdf |
Figure 6:
The decay time distribution for events with $ \mathrm{J}/\psi\mathrm{K^0_S} $ invariant mass in the range 5.17 $ < m < $ 5.22 (upper), 5.22 $ < m < $ 5.34 (center), and 5.42 $ < m < $ 5.57 (lower) GeV and the fit results for the 2016 (left), 2017 (middle), and 2018 (right) data-taking years. |
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Figure 6-a:
The decay time distribution for events with $ \mathrm{J}/\psi\mathrm{K^0_S} $ invariant mass in the range 5.17 $ < m < $ 5.22 (upper), 5.22 $ < m < $ 5.34 (center), and 5.42 $ < m < $ 5.57 (lower) GeV and the fit results for the 2016 (left), 2017 (middle), and 2018 (right) data-taking years. |
png pdf |
Figure 6-b:
The decay time distribution for events with $ \mathrm{J}/\psi\mathrm{K^0_S} $ invariant mass in the range 5.17 $ < m < $ 5.22 (upper), 5.22 $ < m < $ 5.34 (center), and 5.42 $ < m < $ 5.57 (lower) GeV and the fit results for the 2016 (left), 2017 (middle), and 2018 (right) data-taking years. |
png pdf |
Figure 6-c:
The decay time distribution for events with $ \mathrm{J}/\psi\mathrm{K^0_S} $ invariant mass in the range 5.17 $ < m < $ 5.22 (upper), 5.22 $ < m < $ 5.34 (center), and 5.42 $ < m < $ 5.57 (lower) GeV and the fit results for the 2016 (left), 2017 (middle), and 2018 (right) data-taking years. |
png pdf |
Figure 6-d:
The decay time distribution for events with $ \mathrm{J}/\psi\mathrm{K^0_S} $ invariant mass in the range 5.17 $ < m < $ 5.22 (upper), 5.22 $ < m < $ 5.34 (center), and 5.42 $ < m < $ 5.57 (lower) GeV and the fit results for the 2016 (left), 2017 (middle), and 2018 (right) data-taking years. |
png pdf |
Figure 6-e:
The decay time distribution for events with $ \mathrm{J}/\psi\mathrm{K^0_S} $ invariant mass in the range 5.17 $ < m < $ 5.22 (upper), 5.22 $ < m < $ 5.34 (center), and 5.42 $ < m < $ 5.57 (lower) GeV and the fit results for the 2016 (left), 2017 (middle), and 2018 (right) data-taking years. |
png pdf |
Figure 6-f:
The decay time distribution for events with $ \mathrm{J}/\psi\mathrm{K^0_S} $ invariant mass in the range 5.17 $ < m < $ 5.22 (upper), 5.22 $ < m < $ 5.34 (center), and 5.42 $ < m < $ 5.57 (lower) GeV and the fit results for the 2016 (left), 2017 (middle), and 2018 (right) data-taking years. |
png pdf |
Figure 6-g:
The decay time distribution for events with $ \mathrm{J}/\psi\mathrm{K^0_S} $ invariant mass in the range 5.17 $ < m < $ 5.22 (upper), 5.22 $ < m < $ 5.34 (center), and 5.42 $ < m < $ 5.57 (lower) GeV and the fit results for the 2016 (left), 2017 (middle), and 2018 (right) data-taking years. |
png pdf |
Figure 6-h:
The decay time distribution for events with $ \mathrm{J}/\psi\mathrm{K^0_S} $ invariant mass in the range 5.17 $ < m < $ 5.22 (upper), 5.22 $ < m < $ 5.34 (center), and 5.42 $ < m < $ 5.57 (lower) GeV and the fit results for the 2016 (left), 2017 (middle), and 2018 (right) data-taking years. |
png pdf |
Figure 6-i:
The decay time distribution for events with $ \mathrm{J}/\psi\mathrm{K^0_S} $ invariant mass in the range 5.17 $ < m < $ 5.22 (upper), 5.22 $ < m < $ 5.34 (center), and 5.42 $ < m < $ 5.57 (lower) GeV and the fit results for the 2016 (left), 2017 (middle), and 2018 (right) data-taking years. |
png pdf |
Figure 7:
The invariant mass distribution for events with $ \mathrm{J}/\psi\mathrm{K^0_S} $ decay time in the range 0.2 $ < t < $ 2.5 (upper), 2.5 $ < t < $ 3.5 (center), and 3.5 $ < t < $ 10.0 (lower)\unitps and the fit results for the 2016 (left), 2017 (middle), and 2018 (right) data-taking years. |
png pdf |
Figure 7-a:
The invariant mass distribution for events with $ \mathrm{J}/\psi\mathrm{K^0_S} $ decay time in the range 0.2 $ < t < $ 2.5 (upper), 2.5 $ < t < $ 3.5 (center), and 3.5 $ < t < $ 10.0 (lower)\unitps and the fit results for the 2016 (left), 2017 (middle), and 2018 (right) data-taking years. |
png pdf |
Figure 7-b:
The invariant mass distribution for events with $ \mathrm{J}/\psi\mathrm{K^0_S} $ decay time in the range 0.2 $ < t < $ 2.5 (upper), 2.5 $ < t < $ 3.5 (center), and 3.5 $ < t < $ 10.0 (lower)\unitps and the fit results for the 2016 (left), 2017 (middle), and 2018 (right) data-taking years. |
png pdf |
Figure 7-c:
The invariant mass distribution for events with $ \mathrm{J}/\psi\mathrm{K^0_S} $ decay time in the range 0.2 $ < t < $ 2.5 (upper), 2.5 $ < t < $ 3.5 (center), and 3.5 $ < t < $ 10.0 (lower)\unitps and the fit results for the 2016 (left), 2017 (middle), and 2018 (right) data-taking years. |
png pdf |
Figure 7-d:
The invariant mass distribution for events with $ \mathrm{J}/\psi\mathrm{K^0_S} $ decay time in the range 0.2 $ < t < $ 2.5 (upper), 2.5 $ < t < $ 3.5 (center), and 3.5 $ < t < $ 10.0 (lower)\unitps and the fit results for the 2016 (left), 2017 (middle), and 2018 (right) data-taking years. |
png pdf |
Figure 7-e:
The invariant mass distribution for events with $ \mathrm{J}/\psi\mathrm{K^0_S} $ decay time in the range 0.2 $ < t < $ 2.5 (upper), 2.5 $ < t < $ 3.5 (center), and 3.5 $ < t < $ 10.0 (lower)\unitps and the fit results for the 2016 (left), 2017 (middle), and 2018 (right) data-taking years. |
png pdf |
Figure 7-f:
The invariant mass distribution for events with $ \mathrm{J}/\psi\mathrm{K^0_S} $ decay time in the range 0.2 $ < t < $ 2.5 (upper), 2.5 $ < t < $ 3.5 (center), and 3.5 $ < t < $ 10.0 (lower)\unitps and the fit results for the 2016 (left), 2017 (middle), and 2018 (right) data-taking years. |
png pdf |
Figure 7-g:
The invariant mass distribution for events with $ \mathrm{J}/\psi\mathrm{K^0_S} $ decay time in the range 0.2 $ < t < $ 2.5 (upper), 2.5 $ < t < $ 3.5 (center), and 3.5 $ < t < $ 10.0 (lower)\unitps and the fit results for the 2016 (left), 2017 (middle), and 2018 (right) data-taking years. |
png pdf |
Figure 7-h:
The invariant mass distribution for events with $ \mathrm{J}/\psi\mathrm{K^0_S} $ decay time in the range 0.2 $ < t < $ 2.5 (upper), 2.5 $ < t < $ 3.5 (center), and 3.5 $ < t < $ 10.0 (lower)\unitps and the fit results for the 2016 (left), 2017 (middle), and 2018 (right) data-taking years. |
png pdf |
Figure 7-i:
The invariant mass distribution for events with $ \mathrm{J}/\psi\mathrm{K^0_S} $ decay time in the range 0.2 $ < t < $ 2.5 (upper), 2.5 $ < t < $ 3.5 (center), and 3.5 $ < t < $ 10.0 (lower)\unitps and the fit results for the 2016 (left), 2017 (middle), and 2018 (right) data-taking years. |
| Tables | |
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Table 1:
Sources of systematic uncertainties in the $ \mathrm{B}_{s}^{0} \to \mathrm{J}/\psi\mathrm{K^0_S} $ effective lifetime measurement and their estimated values, along with the total systematic uncertainty. |
| Summary |
| In this paper, a measurement of the effective lifetime of the $ \mathrm{B}_{s}^{0} $ meson in the $ \mathrm{J}/\psi\mathrm{K^0_S} $ decay channel is presented. The analysis is performed using data collected by the CMS detector during proton-proton collisions at a center-of-mass energy of 13 TeV from 2016 to 2018, corresponding to an integrated luminosity of 140 fb$ ^{-1} $. The effective lifetime is extracted using a two-dimensional unbinned maximum likelihood fit to the invariant mass and proper decay time distributions of the $ \mathrm{B}_{s}^{0} $ meson. The decay $ {\mathrm{B}^0} \to \mathrm{J}/\psi\mathrm{K^0_S} $, which has a much larger event yield than the corresponding $ \mathrm{B}_{s}^{0} $ decay, is used as a control channel for estimating resolutions and systematic uncertainties. The measured value of the effective lifetime is $ \tau(\mathrm{B}_{s}^{0} \to \mathrm{J}/\psi\mathrm{K^0_S}) = $ 1.59 $ \pm $ 0.07 (stat) $ \pm $ 0.03 (syst) ps, which is the most precise result to date. This measurement can be used to constrain the parameters that govern mixing and CP violation in the $ \mathrm{B}_{s}^{0} $ system and also to better understand the penguin contributions in measurements of $ \sin{(2\beta)} $ from $ {\mathrm{B}^0} \to \mathrm{J}/\psi\mathrm{K^0_S} $ decays. |
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