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Measurement of $\tau _\text {L}$ using the ${B} _s^0 \rightarrow J/\psi \eta $ decay mode

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Abstract

Using a proton-proton collision data sample collected by the LHCb detector and corresponding to an integrated luminosity of 5.7 $\text{fb}^{-1}$, the lifetime of the $B_{s}^{0}$ mass eigenstate, $\tau_{L}$, is measured using $B_{s}^{0} \to J/\psi \eta$ decay mode to be $\tau_{L}$ = 1.445 $\pm$ 0.016(stat) $\pm$ 0.008(syst) ps. A combination of this result with a previous LHCb analysis using an independent dataset corresponding to 3 $\text{fb}^{-1}$ of integrated luminosity gives $\tau_{L}$ = 1.452 $\pm$ 0.014 $\pm$ 0.007 $\pm$ 0.002 ps, where the first uncertainty is statistical, the second due to the uncorrelated part of the systematic uncertainty and the third due to the correlated part of the systematic uncertainty.

Figures and captions

Distributions of (left) invariant mass and (right) decay time by year: (top row) 2015, (second row) 2016, (third row) 2017 and (bottom row) 2018.

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Total acceptance function, $A_{\textrm{tot}}$ for the 2016 data taking period. The insert shows the four individual components of the acceptance that are multiplied to give $A_{\textrm{tot}}$. The acceptance functions for the other years are similar.

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Values of $\tau_{\rm L}$ obtained by dividing the data according to (left) the four years of data-taking and (right) regions in $ B ^0_ s $ $ p_{\mathrm{T}}$ . In both plots the statistical uncertainty for each point is shown. The $1 \sigma$ error bands of the statistical uncertainty on the combined results are shown in yellow. The $\chi^2$ probability of the measurements is $51 \%$($49 \%$) for fits to the data divided by year ( $ B ^0_ s $ $ p_{\mathrm{T}}$ ).

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Summary of measurements of $\tau_{\rm L}$ from LHCb [7,8] along with the HFLAV average [35] determined using the measurements of $\Gamma_s$ and $\Delta \Gamma_s$ made using the $ B ^0_ s \rightarrow J/\psi \phi$ decay mode. The SM prediction, calculated using the values in Refs. [1,4] is shown by the grey-green band.

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Animated gif made out of all figures.

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Tables and captions

Systematic uncertainties on the lifetime measurement in $\text{ fs}$. Uncertainties less than $0.1\text{ fs}$ are indicated with a dash.

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Created on 27 April 2024.