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CMS-BPH-23-002 ; CERN-EP-2024-038
Observation of the Ξbψ(2S)Ξ decay and studies of the Ξ0b baryon in proton-proton collisions at s= 13 TeV
Phys. Rev. D 110 (2024) 012002
Abstract: The first observation of the decay Ξbψ(2S)Ξ and measurement of the branching ratio of Ξbψ(2S)Ξ to ΞbJ/ψΞ are presented. The J/ψ and ψ(2S) mesons are reconstructed using their dimuon decay modes. The results are based on proton-proton colliding beam data from the LHC collected by the CMS experiment at s= 13 TeV in 2016-2018, corresponding to an integrated luminosity of 140 fb1. The branching fraction ratio is measured to be B(Ξbψ(2S)Ξ)/B(ΞbJ/ψΞ)= 0.84 +0.210.19 (stat) ± 0.10 (syst) ± 0.02 (B), where the last uncertainty comes from the uncertainties in the branching fractions of the charmonium states. New measurements of the Ξ0b baryon mass and natural width are also presented, using the Ξbπ+ final state, where the Ξb baryon is reconstructed through the decays J/ψΞ, ψ(2S)Ξ, J/ψΛK, and J/ψΣ0K. Finally, the fraction of the Ξb baryons produced from Ξ0b decays is determined.
Figures & Tables Summary Additional Figures References CMS Publications
Figures

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Figure 1:
The Ξ0bΞbπ+ decay topology, where the Ξb baryon decays to ψΞ with ψμ+μ (upper) or J/ψΛK (lower), where ψ refers to the J/ψ and ψ(2S) mesons. The distances given are the average decay lengths, cτ.

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Figure 1-a:
The Ξ0bΞbπ+ decay topology, where the Ξb baryon decays to ψΞ with ψμ+μ (upper) or J/ψΛK (lower), where ψ refers to the J/ψ and ψ(2S) mesons. The distances given are the average decay lengths, cτ.

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Figure 1-b:
The Ξ0bΞbπ+ decay topology, where the Ξb baryon decays to ψΞ with ψμ+μ (upper) or J/ψΛK (lower), where ψ refers to the J/ψ and ψ(2S) mesons. The distances given are the average decay lengths, cτ.

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Figure 2:
Invariant mass distributions of the selected J/ψΞ (upper left), J/ψΛK (upper right), and ψ(2S)Ξ [lower row, with ψ(2S)μ+μ (left) and ψ(2S)J/ψπ+π (right) candidates]. The data are shown by the points, while the vertical bars represent the statistical uncertainties. The overall fit result is shown by the solid red curve, with the signal and background contributions given by the solid green and dashed blue curves, respectively. The vertical lines around each peak display the mass window required for a Ξb candidate to be used in the Ξ0b studies. The dotted-dashed curve in the upper right plot shows the fitted contribution from the ΞbJ/ψΣ0K decay, with the accompanying vertical dotted lines indicating the mass window for this mode.

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Figure 2-a:
Invariant mass distributions of the selected J/ψΞ (upper left), J/ψΛK (upper right), and ψ(2S)Ξ [lower row, with ψ(2S)μ+μ (left) and ψ(2S)J/ψπ+π (right) candidates]. The data are shown by the points, while the vertical bars represent the statistical uncertainties. The overall fit result is shown by the solid red curve, with the signal and background contributions given by the solid green and dashed blue curves, respectively. The vertical lines around each peak display the mass window required for a Ξb candidate to be used in the Ξ0b studies. The dotted-dashed curve in the upper right plot shows the fitted contribution from the ΞbJ/ψΣ0K decay, with the accompanying vertical dotted lines indicating the mass window for this mode.

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Figure 2-b:
Invariant mass distributions of the selected J/ψΞ (upper left), J/ψΛK (upper right), and ψ(2S)Ξ [lower row, with ψ(2S)μ+μ (left) and ψ(2S)J/ψπ+π (right) candidates]. The data are shown by the points, while the vertical bars represent the statistical uncertainties. The overall fit result is shown by the solid red curve, with the signal and background contributions given by the solid green and dashed blue curves, respectively. The vertical lines around each peak display the mass window required for a Ξb candidate to be used in the Ξ0b studies. The dotted-dashed curve in the upper right plot shows the fitted contribution from the ΞbJ/ψΣ0K decay, with the accompanying vertical dotted lines indicating the mass window for this mode.

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Figure 2-c:
Invariant mass distributions of the selected J/ψΞ (upper left), J/ψΛK (upper right), and ψ(2S)Ξ [lower row, with ψ(2S)μ+μ (left) and ψ(2S)J/ψπ+π (right) candidates]. The data are shown by the points, while the vertical bars represent the statistical uncertainties. The overall fit result is shown by the solid red curve, with the signal and background contributions given by the solid green and dashed blue curves, respectively. The vertical lines around each peak display the mass window required for a Ξb candidate to be used in the Ξ0b studies. The dotted-dashed curve in the upper right plot shows the fitted contribution from the ΞbJ/ψΣ0K decay, with the accompanying vertical dotted lines indicating the mass window for this mode.

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Figure 2-d:
Invariant mass distributions of the selected J/ψΞ (upper left), J/ψΛK (upper right), and ψ(2S)Ξ [lower row, with ψ(2S)μ+μ (left) and ψ(2S)J/ψπ+π (right) candidates]. The data are shown by the points, while the vertical bars represent the statistical uncertainties. The overall fit result is shown by the solid red curve, with the signal and background contributions given by the solid green and dashed blue curves, respectively. The vertical lines around each peak display the mass window required for a Ξb candidate to be used in the Ξ0b studies. The dotted-dashed curve in the upper right plot shows the fitted contribution from the ΞbJ/ψΣ0K decay, with the accompanying vertical dotted lines indicating the mass window for this mode.

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Figure 3:
The mass difference ΔM distribution of the selected Ξbπ± candidates for the decay channel labeled on each plot. The points show the correct-sign combinations and the blue bands the wrong-sign. The vertical bars on the points and the length of the bands represent the statistical uncertainties in each distribution, respectively.

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Figure 3-a:
The mass difference ΔM distribution of the selected Ξbπ± candidates for the decay channel labeled on each plot. The points show the correct-sign combinations and the blue bands the wrong-sign. The vertical bars on the points and the length of the bands represent the statistical uncertainties in each distribution, respectively.

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Figure 3-b:
The mass difference ΔM distribution of the selected Ξbπ± candidates for the decay channel labeled on each plot. The points show the correct-sign combinations and the blue bands the wrong-sign. The vertical bars on the points and the length of the bands represent the statistical uncertainties in each distribution, respectively.

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Figure 3-c:
The mass difference ΔM distribution of the selected Ξbπ± candidates for the decay channel labeled on each plot. The points show the correct-sign combinations and the blue bands the wrong-sign. The vertical bars on the points and the length of the bands represent the statistical uncertainties in each distribution, respectively.

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Figure 3-d:
The mass difference ΔM distribution of the selected Ξbπ± candidates for the decay channel labeled on each plot. The points show the correct-sign combinations and the blue bands the wrong-sign. The vertical bars on the points and the length of the bands represent the statistical uncertainties in each distribution, respectively.

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Figure 4:
Results of the simultaneous fits to the ΔM invariant mass distributions for the Ξ0b candidates in the decay channels given in each plot. The points show the data, with the vertical bars representing the statistical uncertainty. The solid red curve displays the overall fit result, with the solid green and dashed blue curves showing the signal and background contributions, respectively.

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Figure 4-a:
Results of the simultaneous fits to the ΔM invariant mass distributions for the Ξ0b candidates in the decay channels given in each plot. The points show the data, with the vertical bars representing the statistical uncertainty. The solid red curve displays the overall fit result, with the solid green and dashed blue curves showing the signal and background contributions, respectively.

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Figure 4-b:
Results of the simultaneous fits to the ΔM invariant mass distributions for the Ξ0b candidates in the decay channels given in each plot. The points show the data, with the vertical bars representing the statistical uncertainty. The solid red curve displays the overall fit result, with the solid green and dashed blue curves showing the signal and background contributions, respectively.

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Figure 4-c:
Results of the simultaneous fits to the ΔM invariant mass distributions for the Ξ0b candidates in the decay channels given in each plot. The points show the data, with the vertical bars representing the statistical uncertainty. The solid red curve displays the overall fit result, with the solid green and dashed blue curves showing the signal and background contributions, respectively.

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Figure 4-d:
Results of the simultaneous fits to the ΔM invariant mass distributions for the Ξ0b candidates in the decay channels given in each plot. The points show the data, with the vertical bars representing the statistical uncertainty. The solid red curve displays the overall fit result, with the solid green and dashed blue curves showing the signal and background contributions, respectively.
Tables

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Table 1:
The number of signal events N, the mean Ξb mass mfitΞb, and the effective Ξb width σeff from the fits to the Ξb invariant mass distributions for each of the Ξb decay channels. The uncertainties are statistical only.

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Table 2:
The fitted signal yields of the Ξ0bΞbπ+ decay for each of the listed Ξb decay channels. Uncertainties are statistical only.

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Table 3:
The measured efficiency ratios and their statistical uncertainties.

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Table 4:
Systematic uncertainties in percent in the ratio R from the different sources and the total uncertainty.

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Table 5:
Systematic uncertainties in percent in the ratio RΞ0b from the different sources and the total uncertainty, separately for the J/ψΞ and J/ψΛK decay modes.

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Table 6:
The systematic uncertainties in MeVns in the measurement of the Ξ0b mass difference and natural width from each of the sources, along with the total uncertainties.
Summary
In this article, we present the first observation of the Ξbψ(2S)Ξ decay. We use data from LHC proton-proton (pp) collisions at s= 13 TeV, collected by the CMS experiment during 2016--2018, corresponding to an integrated luminosity of 140 fb1. We measure the ratio of the branching fraction for the new decay to that for ΞbJ/ψΞ to be

R=B(Ξbψ(2S)Ξ)/B(ΞbJ/ψΞ)= 0.84 +0.210.19 (stat) ± 0.10 (syst) ± 0.02 (B),

where the last uncertainty comes from the uncertainties in the J/ψ and ψ(2S) branching fractions. This result is consistent with analogous measured ratios from B(s) and Λ0b decays such as B+ψK+, B0ψK0S, B0sψϕ, and Λ0bψΛ, whose values are in the range 0.5-0.6 [34] (here ψ refers to the J/ψ and ψ(2S) mesons). In general, currently existing results for such ratios do not form any clear and unambiguous pattern. New measurements, such as the one reported here, and corresponding theoretical predictions are required to build a robust model that can reliably describe b hardon decays to charmonium states. We reconstruct Ξ0b candidates using the Ξ0bΞbπ+ decay mode by combining tracks from the proton-proton collision vertex with Ξb candidates from four different decay modes. A simultaneous fit of all decay modes is used to extract the mass difference and natural width, which are consistent with our previous results [5], but with much better precision. They are also in agreement with the LHCb measurements [6,15]. Using the world-average value for the Ξb baryon mass [34], we measure the mass of the Ξ0b baryon to be

M(Ξ0b)= 5952.4 ± 0.1 (stat+syst) ± 0.6 (mΞb) MeV,

where the last uncertainty comes from the uncertainty in the Ξb baryon mass. We measure the natural width to be Γ(Ξ0b)= 0.87 +0.220.20 (stat) ± 0.16 (syst) MeV. Finally, our determination of the Ξ0b / Ξb relative production rate RΞ0b= 0.23 ± 0.04 (stat) ± 0.02 (syst) is in good agreement with the LHCb result [6] of 0.28 ± 0.03 ± 0.01 and is of a similar precision. From the measured values of this ratio, we conclude that about 1/4 of Ξb baryons are produced from the Ξ0bΞbπ+ decay. The other major Ξ0b decay is Ξ0bΞ0bπ0. Since B(ΞbΞbπ) should be close to 100%, we expect B(Ξ0bΞbπ+) 2 B(Ξ0bΞ0bπ0) 2/3, where the factor of 2 comes from isospin differences and the Clebsch--Gordan coefficients [34]. Incorporating this estimate of B(Ξ0bΞbπ+) into our results for the ratio of production cross sections, we find that σ(ppΞ0bX)/σ(ppΞbX) 1/3. If the relative production rate for Ξb to Ξb follows the same scheme, the corresponding ratio can be estimated as RΞb=[σ(ppΞbX)B(ΞbΞbπ0)]/σ(ppΞbX) 1/3 × 1/3 = 1/9. Thus, we can conclude that about a third of the Ξb baryons are produced from Ξb decays. Since decays from higher-mass excited Ξb baryons are also possible, such as the Ξb(6227) doublet reported by the LHCb experiment [11,12], less than two thirds of the Ξb baryons are expected to be directly produced from pp collisions. It is clear that further studies of different ground- and excited-state Ξb baryons are needed to fully understand this family of baryons.
Additional Figures

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Additional Figure 1:
Comparison of the branching fractions ratios B(Hbψ(2S)h)/B(HbJ/ψh) for B+, B0, B0s, B+c, Λ0b, and Ξb decays. The black dotes represents the known values from the PDG [34], blue bar corresponds to the theoretical predictions from Refs [74,75,76,77], and this paper's result by CMS is highlighted in red.

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Additional Figure 2:
Invariant mass distributions of the selected J/ψΞ (upper left), ψ(2S)Ξ with ψ(2S)μ+μ (upper right), and J/ψΛK (lower) candidates with a single HLT path required, as described in the paper's text. The fit results are overlaid, and the signal yields are 103 +1413, 38 +87, and 606 +6764 for the ΞbJ/ψΞ, Ξbψ(2S)Ξ, and ΞbJ/ψΛK modes, respectively.

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Additional Figure 2-a:
Invariant mass distributions of the selected J/ψΞ candidates with a single HLT path required, as described in the paper's text. The fit results are overlaid, and the signal yields are 103 +1413, 38 +87, and 606 +6764 for the ΞbJ/ψΞ, Ξbψ(2S)Ξ, and ΞbJ/ψΛK modes, respectively.

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Additional Figure 2-b:
Invariant mass distributions of the selected ψ(2S)Ξ with ψ(2S)μ+μ candidates with a single HLT path required, as described in the paper's text. The fit results are overlaid, and the signal yields are 103 +1413, 38 +87, and 606 +6764 for the ΞbJ/ψΞ, Ξbψ(2S)Ξ, and ΞbJ/ψΛK modes, respectively.

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Additional Figure 2-c:
Invariant mass distributions of the selected J/ψΛK candidates with a single HLT path required, as described in the paper's text. The fit results are overlaid, and the signal yields are 103 +1413, 38 +87, and 606 +6764 for the ΞbJ/ψΞ, Ξbψ(2S)Ξ, and ΞbJ/ψΛK modes, respectively.

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Additional Figure 3:
The mass difference ΔM distribution of the selected Ξbπ+ candidates, with the Ξb decays to J/ψΞ (left) and J/ψΛK (right), with a single HLT path required, as described in the paper's text. The fit results are overlaid, and the yields of Ξ0b signal are 13 ± 4 and 74 ± 11 for the ΞbJ/ψΞ and ΞbJ/ψΛK modes, respectively.

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Additional Figure 3-a:
The mass difference ΔM distribution of the selected Ξbπ+ candidates, with the Ξb decays to J/ψΞ, with a single HLT path required, as described in the paper's text. The fit results are overlaid, and the yields of Ξ0b signal are 13 ± 4 and 74 ± 11 for the ΞbJ/ψΞ and ΞbJ/ψΛK modes, respectively.

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Additional Figure 3-b:
The mass difference ΔM distribution of the selected Ξbπ+ candidates, with the Ξb decays to J/ψΛK, with a single HLT path required, as described in the paper's text. The fit results are overlaid, and the yields of Ξ0b signal are 13 ± 4 and 74 ± 11 for the ΞbJ/ψΞ and ΞbJ/ψΛK modes, respectively.
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Compact Muon Solenoid
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