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| CMS-BPH-15-008 ; CERN-EP-2017-240 | ||
| Measurement of angular parameters from the decay $\mathrm{B}^0 \to \mathrm{K}^{*0} \mu^+ \mu^-$ in proton-proton collisions at $\sqrt{s} = $ 8 TeV | ||
| CMS Collaboration | ||
| 8 October 2017 | ||
| Phys. Lett. B 781 (2018) 517 | ||
| Abstract: Angular distributions of the decay $\mathrm{B}^0 \to \mathrm{K}^{*0} \mu^ +\mu^-$ are studied using a sample of proton-proton collisions at $\sqrt{s} = $ 8 TeV collected with the CMS detector at the LHC, corresponding to an integrated luminosity of 20.5 fb$^{-1}$. An angular analysis is performed to determine the $P_1$ and $P_5'$ parameters, where the $P_5'$ parameter is of particular interest because of recent measurements that indicate a potential discrepancy with the standard model predictions. Based on a sample of 1397 signal events, the $P_1$ and $P_5'$ parameters are determined as a function of the dimuon invariant mass squared. The measurements are in agreement with predictions based on the standard model. | ||
| Links: e-print arXiv:1710.02846 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; CADI line (restricted) ; | ||
| Figures & Tables | Summary | Additional Figures | References | CMS Publications |
|---|
| Figures | |
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Figure 1:
Illustration of the angular variables $\theta _{\ell}$ (left), $\theta _{\mathrm{K}}$ (middle), and $\varphi $ (right) for the decay ${\mathrm{B}^{0} \to {\mathrm {K}^{* 0}} (\mathrm{K^{+}} \pi^{-}) \mu^{+} \mu^{-}}$. |
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Figure 2:
Invariant mass and angular distributions of $\mathrm{K^{+}} \pi^{-} \mu^{+} \mu^{-} $ events for (upper two rows) 2 $ < q^2 < 4.3 GeV ^2$ and (lower two rows) 4.3 $ < q^2 < $ 6 GeV$^2$. The projection of the results from the total fit, as well as for correctly tagged signal events, mistagged signal events, and background events, are also shown. The vertical bars indicate the statistical uncertainties. |
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Figure 2-a:
Invariant mass and angular distributions of $\mathrm{K^{+}} \pi^{-} \mu^{+} \mu^{-} $ events for 2 $ < q^2 < 4.3 GeV ^2$. The projection of the results from the total fit, as well as for correctly tagged signal events, mistagged signal events, and background events, are also shown. The vertical bars indicate the statistical uncertainties. |
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Figure 2-b:
Invariant mass and angular distributions of $\mathrm{K^{+}} \pi^{-} \mu^{+} \mu^{-} $ events for 4.3 $ < q^2 < $ 6 GeV$^2$. The projection of the results from the total fit, as well as for correctly tagged signal events, mistagged signal events, and background events, are also shown. The vertical bars indicate the statistical uncertainties. |
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Figure 3:
CMS measurements of the $P_1$ and $P_5'$ angular parameters versus $q^2$ for ${\mathrm{B}^{0} \to {\mathrm {K}^{* 0}} \mu^{+} \mu^{-}}$ decays, in comparison to results from the LHCb [33] and Belle [34] Collaborations. The statistical uncertainties are shown by the inner vertical bars, while the outer vertical bars give the total uncertainties. The horizontal bars show the bin widths. The vertical shaded regions correspond to the $\mathrm{J}/\psi $ and $\psi '$ resonances. The hatched region shows the predictions from two SM calculations described in the text, averaged over each $q^2$ bin. |
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Figure 3-a:
CMS measurements of the $P_1$ angular parameter versus $q^2$ for ${\mathrm{B}^{0} \to {\mathrm {K}^{* 0}} \mu^{+} \mu^{-}}$ decays, in comparison to results from the LHCb [33] and Belle [34] Collaborations. The statistical uncertainties are shown by the inner vertical bars, while the outer vertical bars give the total uncertainties. The horizontal bars show the bin widths. The vertical shaded regions correspond to the $\mathrm{J}/\psi $ and $\psi '$ resonances. The hatched region shows the predictions from two SM calculations described in the text, averaged over each $q^2$ bin. |
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Figure 3-b:
CMS measurements of the $P_5'$ angular parameter versus $q^2$ for ${\mathrm{B}^{0} \to {\mathrm {K}^{* 0}} \mu^{+} \mu^{-}}$ decays, in comparison to results from the LHCb [33] and Belle [34] Collaborations. The statistical uncertainties are shown by the inner vertical bars, while the outer vertical bars give the total uncertainties. The horizontal bars show the bin widths. The vertical shaded regions correspond to the $\mathrm{J}/\psi $ and $\psi '$ resonances. The hatched region shows the predictions from two SM calculations described in the text, averaged over each $q^2$ bin. |
| Tables | |
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Table 1:
Systematic uncertainties in $P_1$ and $P_5'$. For each source, the range indicates the variation over the bins in $q^2$. |
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Table 2:
The measured signal yields, which include both correctly tagged and mistagged events, the $P_1$ and $P_5'$ values, and the correlation coefficients, in bins of $q^2$, for ${\mathrm{B}^{0} \to {\mathrm {K}^{* 0}} \mu^{+} \mu^{-}} $ decays. The first uncertainty is statistical and the second is systematic. The bin ranges are selected to allow comparison with previous measurements. |
| Summary |
| Using proton-proton collision data recorded at $\sqrt{s} = $ 8 TeV with the CMS detector at the LHC, corresponding to an integrated luminosity of 20.5 fb$^{-1}$, an angular analysis has been performed for the decay ${\mathrm{B}^{0}\to{\mathrm{K}^{*0}} \mu^{+} \mu^{-}} $. The signal sample consists of 1397 selected events. For each of seven bins between 1 to 19 GeV$^2$ in the dimuon invariant mass squared $q^2$, unbinned maximum-likelihood fits are performed on the distributions of the $\mathrm{K^{+}}\pi^{-}\mu^{+}\mu^{-}$ invariant mass and three angular variables to obtain values of the $P_1$ and $P_5'$ parameters. The results are among the most precise to date for these parameters and are consistent with predictions based on the standard model. |
| Additional Figures | |
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Additional Figure 1:
Spectrum of the di-muon invariant mass. The two peaks correspond to the $\mathrm{J}/\psi$ and $\psi '$ resonances used as control samples. |
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Additional Figure 2:
Projection of the efficiency computed on simulated events along the three angular variables $\cos\theta _K$, $|\cos\theta _L|$, $\phi $ for the second bin 2.00 $ < q^2 < $ 4.30 GeV$^{2}$ for correctly tagged events. |
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Additional Figure 3:
Projection of the efficiency computed on simulated events along the three angular variables $\cos\theta _K$, $|\cos\theta _L|$, $\phi $ for the seventh bin 16.00 $ < q^2 < $ 19.00 GeV$^{2}$ for correctly tagged events. |
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Additional Figure 4:
Projection of the efficiency computed on simulated events along the three angular variables $\cos\theta _K$, $|\cos\theta _L|$, $\phi $ for the second bin 2.00 $ < q^2 < $ 4.30 GeV$^{2}$ for wrongly tagged events. |
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Additional Figure 5:
Projection of the efficiency computed on simulated events along the three angular variables $\cos\theta _K$, $|\cos\theta _L|$, $\phi $ for the seventh bin 16.00 $ < q^2 < $ 19.00 GeV$^{2}$ for wrongly tagged events. |
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Additional Figure 6:
Closure test of efficiency using simulated events for correctly tagged events. Half of the simulated events are used to compute the efficiency, and the other half is used for the test. The black dots are the reconstructed simulated events, the red dots are instead the distributions of the events at generator level, multiplied by the efficiency. |
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Additional Figure 7:
Closure test of efficiency using simulated events for wrongly tagged events. Half of the simulated events are used to compute the efficiency, and the other half is used for the test. The black dots are the reconstructed simulated events, the red dots are instead the distributions of the events at generator level, multiplied by the efficiency. |
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Additional Figure 8:
Closure test of the fit results of $P_5'$ for each $q^2$ bin on simulated data. The results of the fit on reconstructed events (black dots) are compared with the fit on the generated events (red dots). The vertical shaded regions correspond to the $\mathrm{J}/\psi$ and $\psi '$ resonances. |
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Additional Figure 9:
Closure test of the fit results of $P_1$ for each $q^2$ bin on simulated data. The results of the fit on reconstructed events (black dots) are compared with the fit on the generated events (red dots). The vertical shaded regions correspond to the $\mathrm{J}/\psi$ and $\psi '$ resonances. |
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Additional Figure 10:
Distribution of $\mathcal {L}$ computed on data for the second bin 2.00 $ < q^2 < $ 4.30 GeV$^{2}$, in the $P_1, P'_5$ plane. The colored regions correspond to $\Delta \log {L} < $ 0.5 (yellow), 0.5 $ < \Delta \log {L} < $ 2.0 (green), $\Delta \log {L} > $ 2.0 (purple), respectively. The magenta line represents the physical boundary, the physically allowed region being above that line. Superimposed is a bivariate Gaussian fit (dot-dashed line), and the position of the maxima of the profiled $\mathcal {L}$ along $P_1$, with $P'_5$ fixed, (blue crosses) and along $P'_5$, with $P_1$ fixed, (red crosses). |
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Additional Figure 11:
Distribution of $\mathcal {L}$ computed on data for the third bin 4.30 $ < q^2 < $ 6.00 GeV$^{2}$, in the $P_1, P'_5$ plane. The colored regions correspond to $\Delta \log {L} < $ 0.5 (yellow), 0.5 $ < \Delta \log {L} < $ 2.0 (green), $\Delta \log {L} > $ 2.0 (purple), respectively. The magenta line represents the physical boundary, the physically allowed region being above that line. Superimposed is a bivariate Gaussian fit (dot-dashed line), and the position of the maxima of the profiled $\mathcal {L}$ along $P_1$, with $P'_5$ fixed, (blue crosses) and along $P'_5$, with $P_1$ fixed, (red crosses). |
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Additional Figure 12:
$ {\mathrm {K^+}} {\pi ^-} {{\mu ^+}} {{\mu ^-}}$ invariant mass and angular distributions of the control channel $\mathrm{J}/\psi$ on data. Overlaid on each plot is the projection of the results for the total fit, as well as for the three components: correctly tagged signal, mistagged signal, and background. The vertical bars indicate the statistical uncertainties. |
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Additional Figure 13:
$ {\mathrm {K^+}} {\pi ^-} {{\mu ^+}} {{\mu ^-}}$ invariant mass and angular distributions of the control channel $\psi '$ on data. Overlaid on each plot is the projection of the results for the total fit, as well as for the three components: correctly tagged signal, mistagged signal, and background. The vertical bars indicate the statistical uncertainties. |
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Additional Figure 14:
$ {\mathrm {K^+}} {\pi ^-} {{\mu ^+}} {{\mu ^-}}$ invariant mass and angular distributions for the first $q^2$ bin 1.00 $ < q^2 < $ 2.00 GeV$^{2}$. Overlaid on each plot is the projection of the results for the total fit, as well as for the three components: correctly tagged signal, mistagged signal, and background. The vertical bars indicate the statistical uncertainties. |
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Additional Figure 15:
$ {\mathrm {K^+}} {\pi ^-} {{\mu ^+}} {{\mu ^-}}$ invariant mass and angular distributions for the second $q^2$ bin 2.00 $ < q^2 < $ 4.30 GeV$^{2}$. Overlaid on each plot is the projection of the results for the total fit, as well as for the three components: correctly tagged signal, mistagged signal, and background. The vertical bars indicate the statistical uncertainties. |
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Additional Figure 16:
$ {\mathrm {K^+}} {\pi ^-} {{\mu ^+}} {{\mu ^-}}$ invariant mass and angular distributions for the third $q^2$ bin 4.30 $ < q^2 < $ 6.00 GeV$^{2}$. Overlaid on each plot is the projection of the results for the total fit, as well as for the three components: correctly tagged signal, mistagged signal, and background. The vertical bars indicate the statistical uncertainties. |
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Additional Figure 17:
$ {\mathrm {K^+}} {\pi ^-} {{\mu ^+}} {{\mu ^-}}$ invariant mass and angular distributions for the fourth $q^2$ bin 6.00 $ < q^2 < $ 8.68 GeV$^{2}$. Overlaid on each plot is the projection of the results for the total fit, as well as for the three components: correctly tagged signal, mistagged signal, and background. The vertical bars indicate the statistical uncertainties. |
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Additional Figure 18:
$ {\mathrm {K^+}} {\pi ^-} {{\mu ^+}} {{\mu ^-}}$ invariant mass and angular distributions for the fifth $q^2$ bin 10.09 $ < q^2 < $ 12.86 GeV$^{2}$. Overlaid on each plot is the projection of the results for the total fit, as well as for the three components: correctly tagged signal, mistagged signal, and background. The vertical bars indicate the statistical uncertainties. |
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Additional Figure 19:
$ {\mathrm {K^+}} {\pi ^-} {{\mu ^+}} {{\mu ^-}}$ invariant mass and angular distributions for the sixth $q^2$ bin 14.18 $ < q^2 < $ 16.00 GeV$^{2}$. Overlaid on each plot is the projection of the results for the total fit, as well as for the three components: correctly tagged signal, mistagged signal, and background. The vertical bars indicate the statistical uncertainties. |
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Additional Figure 20:
$ {\mathrm {K^+}} {\pi ^-} {{\mu ^+}} {{\mu ^-}}$ invariant mass and angular distributions for the seventh $q^2$ bin 16.00 $ < q^2 < $ 19.00 GeV$^{2}$. Overlaid on each plot is the projection of the results for the total fit, as well as for the three components: correctly tagged signal, mistagged signal, and background. The vertical bars indicate the statistical uncertainties. |
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Additional Figure 21:
Measured values of $P_1$ versus $q^2$ for $ {{{\mathrm {B}^0}}\to {\mathrm {K}^{\ast 0}} {{\mu ^+}} {{\mu ^-}}} $ from CMS, compared with LHCb [1] results. The statistical uncertainty is shown by the inner vertical bars, while the outer vertical bars give the total uncertainty. The horizontal bars show the bin widths. The vertical shaded regions correspond to the $\mathrm{J}/\psi$ and $\psi '$ resonances. |
png pdf |
Additional Figure 22:
Measured values of $P_1$ versus $q^2$ for $ {{{\mathrm {B}^0}}\to {\mathrm {K}^{\ast 0}} {{\mu ^+}} {{\mu ^-}}} $ from CMS, compared with LHCb [1], and ATLAS [2] results. The statistical uncertainty is shown by the inner vertical bars, while the outer vertical bars give the total uncertainty. The horizontal bars show the bin widths. The vertical shaded regions correspond to the $\mathrm{J}/\psi$ and $\psi '$ resonances. |
png pdf |
Additional Figure 23:
Measured values of $P_1$ versus $q^2$ for $ {{{\mathrm {B}^0}}\to {\mathrm {K}^{\ast 0}} {{\mu ^+}} {{\mu ^-}}} $ from CMS, compared with LHCb [1], and ATLAS [2] results. The statistical uncertainty is shown by the inner vertical bars, while the outer vertical bars give the total uncertainty. The horizontal bars show the bin widths. The vertical shaded regions correspond to the $\mathrm{J}/\psi$ and $\psi '$ resonances. The blue hatched regions show a SM prediction (SM-DHMV) averaged over each $q^2$ bin to provide a direct comparison to the data. The SM-DHMV result is derived from Refs. [3,4]. Reliable theoretical predictions are not available near the $\mathrm{J}/\psi$ and $\psi '$ resonances. |
png pdf |
Additional Figure 24:
Measured values of $P_1$ versus $q^2$ for $ {{{\mathrm {B}^0}}\to {\mathrm {K}^{\ast 0}} {{\mu ^+}} {{\mu ^-}}} $ from CMS, compared with LHCb [1], and ATLAS [2] results. The statistical uncertainty is shown by the inner vertical bars, while the outer vertical bars give the total uncertainty. The horizontal bars show the bin widths. The vertical shaded regions correspond to the $\mathrm{J}/\psi$ and $\psi '$ resonances. The red and blue hatched regions show two SM predictions averaged over each $q^2$ bin to provide a direct comparison to the data. The SM-DHMV result is derived from Refs. [3,4], while the SM-HEPfit result from Refs. [5,6]. Reliable theoretical predictions are not available near the $\mathrm{J}/\psi$ and $\psi '$ resonances. |
png pdf |
Additional Figure 25:
Measured values of $P'_5$ versus $q^2$ for $ {{{\mathrm {B}^0}}\to {\mathrm {K}^{\ast 0}} {{\mu ^+}} {{\mu ^-}}} $ from CMS, compared with LHCb [1] results. The statistical uncertainty is shown by the inner vertical bars, while the outer vertical bars give the total uncertainty. The horizontal bars show the bin widths. The vertical shaded regions correspond to the $\mathrm{J}/\psi$ and $\psi '$ resonances. |
png pdf |
Additional Figure 26:
Measured values of $P'_5$ versus $q^2$ for $ {{{\mathrm {B}^0}}\to {\mathrm {K}^{\ast 0}} {{\mu ^+}} {{\mu ^-}}} $ from CMS, compared with LHCb [1], and Belle [7] results. The statistical uncertainty is shown by the inner vertical bars, while the outer vertical bars give the total uncertainty. The horizontal bars show the bin widths. The vertical shaded regions correspond to the $\mathrm{J}/\psi$ and $\psi '$ resonances. |
png pdf |
Additional Figure 27:
Measured values of $P'_5$ versus $q^2$ for $ {{{\mathrm {B}^0}}\to {\mathrm {K}^{\ast 0}} {{\mu ^+}} {{\mu ^-}}} $ from CMS, compared with LHCb [1], Belle [7], and ATLAS [2] results. The statistical uncertainty is shown by the inner vertical bars, while the outer vertical bars give the total uncertainty. The horizontal bars show the bin widths. The vertical shaded regions correspond to the $\mathrm{J}/\psi$ and $\psi '$ resonances. |
png pdf |
Additional Figure 28:
Measured values of $P'_5$ versus $q^2$ for $ {{{\mathrm {B}^0}}\to {\mathrm {K}^{\ast 0}} {{\mu ^+}} {{\mu ^-}}} $ from CMS, compared with LHCb [1], Belle [7], and ATLAS [2] results. The statistical uncertainty is shown by the inner vertical bars, while the outer vertical bars give the total uncertainty. The horizontal bars show the bin widths. The vertical shaded regions correspond to the $\mathrm{J}/\psi$ and $\psi '$ resonances. The blue hatched regions show a SM prediction (SM-DHMV) averaged over each $q^2$ bin to provide a direct comparison to the data. The SM-DHMV result is derived from Refs. [3,4]. Reliable theoretical predictions are not available near the $\mathrm{J}/\psi$ and $\psi '$ resonances. |
png pdf |
Additional Figure 29:
Measured values of $P'_5$ versus $q^2$ for $ {{{\mathrm {B}^0}}\to {\mathrm {K}^{\ast 0}} {{\mu ^+}} {{\mu ^-}}} $ from CMS, compared with LHCb [1], Belle [7], and ATLAS [2] results. The statistical uncertainty is shown by the inner vertical bars, while the outer vertical bars give the total uncertainty. The horizontal bars show the bin widths. The vertical shaded regions correspond to the $\mathrm{J}/\psi$ and $\psi '$ resonances. The red and blue hatched regions show two SM predictions averaged over each $q^2$ bin to provide a direct comparison to the data. The SM-DHMV result is derived from Refs. [3,4], while the SM-HEPfit result from Refs. [5,6]. Reliable theoretical predictions are not available near the $\mathrm{J}/\psi$ and $\psi '$ resonances. |
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Compact Muon Solenoid LHC, CERN |
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