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CMS-BPH-15-002 ; CERN-EP-2017-331
Measurement of the Λb polarization and angular parameters in ΛbJ/ψΛ decays from pp collisions at s= 7 and 8 TeV
Phys. Rev. D 97 (2018) 072010
Abstract: An analysis of the decay ΛbJ/ψ(μ+μ)Λ(pπ) is performed to measure the Λb polarization and three angular parameters in data from pp collisions at s= 7 and 8 TeV, collected by the CMS experiment at the LHC. The Λb polarization is measured to be 0.00 ± 0.06 (stat) ± 0.06 (syst) and the parity-violating asymmetry parameter is determined to be 0.14 ± 0.14 (stat) ± 0.10 (syst). The measurements are compared to various theoretical predictions, including those from perturbative quantum chromodynamics.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Definition of the angles used to describe the ΛbJ/ψΛ decay into the μ+μpπ final state as explained in the text.

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Figure 2:
The efficiencies as a function of (a) cosθΛ, (b) cosθp, and (c) cosθμ obtained from simulated ΛbJ/ψΛ decays at s= 8 TeV. The vertical bars on the points are the statistical uncertainties in the simulated data, and the lines show the projections of a 3D fit to the distributions using Chebyshev polynomials. The scales of the vertical axes are arbitrary.

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Figure 2-a:
The efficiency as a function of cosθΛ obtained from simulated ΛbJ/ψΛ decays at s= 8 TeV. The vertical bars on the points are the statistical uncertainties in the simulated data, and the lines show the projections of a 3D fit to the distributions using Chebyshev polynomials. The scale of the vertical axis is arbitrary.

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Figure 2-b:
The efficiency as a function of cosθp obtained from simulated ΛbJ/ψΛ decays at s= 8 TeV. The vertical bars on the points are the statistical uncertainties in the simulated data, and the lines show the projections of a 3D fit to the distributions using Chebyshev polynomials. The scale of the vertical axis is arbitrary.

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Figure 2-c:
The efficiency as a function of cosθμ obtained from simulated ΛbJ/ψΛ decays at s= 8 TeV. The vertical bars on the points are the statistical uncertainties in the simulated data, and the lines show the projections of a 3D fit to the distributions using Chebyshev polynomials. The scale of the vertical axis is arbitrary.

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Figure 3:
The background angular distributions of (a) cosθΛ, (b) cosθp, and (c) cosθμ are shown, as obtained from the sidebands in the J/ψΛ invariant mass distribution at s= 8 TeV. The vertical bars on the points represent the statistical uncertainties, and the solid lines are the results of the fits to data as described in the text.

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Figure 3-a:
The background angular distribution of cosθΛ is shown, as obtained from the sidebands in the J/ψΛ invariant mass distribution at s= 8 TeV. The vertical bars on the points represent the statistical uncertainties, and the solid lines are the results of the fits to data as described in the text.

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Figure 3-b:
The background angular distribution of cosθp is shown, as obtained from the sidebands in the J/ψΛ invariant mass distribution at s= 8 TeV. The vertical bars on the points represent the statistical uncertainties, and the solid lines are the results of the fits to data as described in the text.

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Figure 3-c:
The background angular distribution of cosθμ is shown, as obtained from the sidebands in the J/ψΛ invariant mass distribution at s= 8 TeV. The vertical bars on the points represent the statistical uncertainties, and the solid lines are the results of the fits to data as described in the text.

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Figure 4:
Distributions in (a) mJ/ψΛ, (b) cosθp, (c) cosθΛ, and (d) cosθμ for Λb candidates in the combined s= 7 and 8 TeV data. The vertical bars on the points are the statistical uncertainties in the data, the solid line shows the result of the fit, and the dashed and dotted lines represent, respectively, the signal and background contributions from the fit.

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Figure 4-a:
Distribution in mJ/ψΛ for Λb candidates in the combined s= 7 and 8 TeV data. The vertical bars on the points are the statistical uncertainties in the data, the solid line shows the result of the fit, and the dashed and dotted lines represent, respectively, the signal and background contributions from the fit.

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Figure 4-b:
Distribution in cosθp candidates in the combined s= 7 and 8 TeV data. The vertical bars on the points are the statistical uncertainties in the data, the solid line shows the result of the fit, and the dashed and dotted lines represent, respectively, the signal and background contributions from the fit.

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Figure 4-c:
Distribution in cosθΛ for Λb candidates in the combined s= 7 and 8 TeV data. The vertical bars on the points are the statistical uncertainties in the data, the solid line shows the result of the fit, and the dashed and dotted lines represent, respectively, the signal and background contributions from the fit.

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Figure 4-d:
Distribution in cosθμ for Λb candidates in the combined s= 7 and 8 TeV data. The vertical bars on the points are the statistical uncertainties in the data, the solid line shows the result of the fit, and the dashed and dotted lines represent, respectively, the signal and background contributions from the fit.

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Figure 5:
Distributions in (a) mJ/ψ¯Λ, (b) cosθp, (c) cosθΛ, and (d) cosθμ for ¯Λb candidates in the combined s= 7 and 8 TeV data. The vertical bars on the points are the statistical uncertainties in the data, the solid line shows the result of the fit, and the dashed and dotted lines represent, respectively, the signal and background contributions from the fit.

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Figure 5-a:
Distribution in mJ/ψ¯Λ for ¯Λb candidates in the combined s= 7 and 8 TeV data. The vertical bars on the points are the statistical uncertainties in the data, the solid line shows the result of the fit, and the dashed and dotted lines represent, respectively, the signal and background contributions from the fit.

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Figure 5-b:
Distribution in cosθp for ¯Λb candidates in the combined s= 7 and 8 TeV data. The vertical bars on the points are the statistical uncertainties in the data, the solid line shows the result of the fit, and the dashed and dotted lines represent, respectively, the signal and background contributions from the fit.

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Figure 5-c:
Distribution in cosθp for ¯Λb candidates in the combined s= 7 and 8 TeV data. The vertical bars on the points are the statistical uncertainties in the data, the solid line shows the result of the fit, and the dashed and dotted lines represent, respectively, the signal and background contributions from the fit.

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Figure 5-d:
Distribution in cosθμ for ¯Λb candidates in the combined s= 7 and 8 TeV data. The vertical bars on the points are the statistical uncertainties in the data, the solid line shows the result of the fit, and the dashed and dotted lines represent, respectively, the signal and background contributions from the fit.
Tables

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Table 1:
Functions used in Eq. (3) to describe the angular distribution in the decay ΛbJ/ψΛ, with J/ψμ+μ and Λpπ.

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Table 2:
Correlation matrix for the fitted parameters.

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Table 3:
The sources and values of the systematic uncertainties in each parameter and the total uncertainty. Each value in the table should be multiplied by 102 to obtain the corresponding systematic uncertainty.
Summary
Based on an angular analysis of about 6000 ΛbJ/ψ(μ+μ)Λ(pπ) events collected by the CMS experiment at s= 7 and 8 TeV, a measurement of the Λb polarization P, the parity-violating asymmetry parameter in the Λb decay α1, the Λ longitudinal polarization α2, and the parameter γ0 has been performed. The obtained values are

P= 0.00±0.06 (stat) ±0.06 (syst),
α1= 0.14±0.14 (stat) ±0.10 (syst),
α2=1.11±0.04 (stat) ±0.05 (syst),
γ0=0.27±0.08 (stat) ±0.11 (syst),

corresponding to the squares of the helicity amplitudes

|T++|2=  0.05±0.04 (stat) ±0.04 (syst),
|T+0|2=0.10±0.04 (stat) ±0.04 (syst),
|T0|2=  0.51±0.03 (stat) ±0.04 (syst),
|T|2=  0.52±0.04 (stat) ±0.04 (syst).

The measured Λb polarization value given above is consistent with the LHCb measurement [11] and theoretical predictions of 0.10 [5] and 0.20 [6]. The many theoretical predictions for α1 include 0.2 to 0.1 from quark model techniques [9,27-30], 0.17 to 0.14 from perturbative quantum chromodynamics calculations [10], and 0.78 from heavy-quark effective theory [4,6]. The measured value is inconsistent at the level of almost 4 standard deviations with the heavy-quark effective theory prediction, but is consistent at about the 2 standard deviation level with the other predictions. The presented measurement of α1 is also consistent with the measurements 0.05 ± 0.17 (stat) ± 0.07 (syst) and 0.05 ± 0.16 (stat) ± 0.06 (syst) by LHCb [11] and ATLAS [12], respectively, and with no parity violation at the level of one standard deviation. The measurement of α2, compatible with 1, indicates that the positive-helicity states of the Λ coming from the Λb decay are suppressed.
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