Loading [MathJax]/jax/output/HTML-CSS/jax.js

Compact Muon Solenoid
LHC, CERN

Visit us: CMS Public Website, CMS Physics ; Contact us: CMS Publications Committee

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
png pdf	Figure 1: Illustration of the angular variables $\theta _{\ell}$ (left), $\theta _{\mathrm{K}}$ (middle), and $\varphi$ (right) for the decay ${\mathrm{B}^{0} \to {\mathrm {K}^{* 0}} (\mathrm{K^{+}} \pi^{-}) \mu^{+} \mu^{-}}$.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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
png pdf	Table 1: Systematic uncertainties in $P_1$ and $P_5'$. For each source, the range indicates the variation over the bins in $q^2$.
png pdf	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
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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).
png pdf	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).
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.
png pdf	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.

References
1	W. Altmannshofer et al.	Symmetries and asymmetries of $B \to K^{*} \mu^{+} \mu^{-}$ decays in the Standard Model and beyond	JHEP 01 (2009) 019	0811.1214
2	J. Matias, F. Mescia, M. Ramon, and J. Virto	Complete anatomy of $\overline{B}_d \to \overline{K}^{* 0} (\to K \pi) \ell^+ \ell^-$ and its angular distribution	JHEP 04 (2012) 104	1202.4266
3	S. Descotes-Genon, J. Matias, and J. Virto	Global analysis of $b \to s \ell \ell$ anomalies	JHEP 06 (2016) 092	1510.04239
4	D. Melikhov, N. Nikitin, and S. Simula	Probing right-handed currents in $B \to K^* \ell^+ \ell^-$ transitions	PLB 442 (1998) 381	hep-ph/9807464
5	A. Ali, P. Ball, L. T. Handoko, and G. Hiller	A comparative study of the decays $B \to (K, K^*) \ell^+ \ell^-$ in the standard model and supersymmetric theories	PRD 61 (2000) 074024	hep-ph/9910221
6	Q.-S. Yan, C.-S. Huang, W. Liao, and S.-H. Zhu	Exclusive semileptonic rare decays $B \to (K, K^*) \ell^+ \ell^-$ in supersymmetric theories	PRD 62 (2000) 094023	hep-ph/0004262
7	G. Buchalla, G. Hiller, and G. Isidori	Phenomenology of nonstandard $Z$ couplings in exclusive semileptonic $b \to s$ transitions	PRD 63 (2000) 014015	hep-ph/0006136
8	T. Feldmann and J. Matias	Forward-backward and isospin asymmetry for $B \to K^* \ell^+ \ell^-$ decay in the standard model and in supersymmetry	JHEP 01 (2003) 074	hep-ph/0212158
9	G. Hiller and F. Kruger	More model-independent analysis of $b \to s$ processes	PRD 69 (2004) 074020	hep-ph/0310219
10	F. Kruger and J. Matias	Probing new physics via the transverse amplitudes of $B^0 \to K^{*0}(\to K^-\pi^+)\ell^+\ell^-$ at large recoil	PRD 71 (2005) 094009	hep-ph/0502060
11	W.-S. Hou, A. Hovhannisyan, and N. Mahajan	$B \to K^* \ell^+ \ell^-$ forward-backward asymmetry and new physics	PRD 77 (2008) 014016	hep-ph/0701046
12	U. Egede et al.	New observables in the decay mode $\overline{B}_d \to \overline{K}^{*0} \ell^+ \ell^-$	JHEP 11 (2008) 032	0807.2589
13	T. Hurth, G. Isidori, J. F. Kamenik, and F. Mescia	Constraints on new physics in MFV models: A model-independent analysis of $\Delta F =$ 1 processes	NPB 808 (2009) 326	0807.5039
14	A. K. Alok et al.	New-physics contributions to the forward-backward asymmetry in $B\to K^*\mu^+\mu^-$	JHEP 02 (2010) 053	0912.1382
15	A. K. Alok et al.	New physics in $b \to s \mu^+ \mu^-$: CP-conserving observables	JHEP 11 (2011) 121	1008.2367
16	Q. Chang, X.-Q. Li, and Y.-D. Yang	$B \to K^* \ell^+ \ell^-$, $K \ell^+ \ell^-$ decays in a family non-universal $Z^{\prime}$ model	JHEP 04 (2010) 052	1002.2758
17	S. Descotes-Genon, D. Ghosh, J. Matias, and M. Ramon	Exploring new physics in the C$_7$-C$_{7'}$ plane	JHEP 06 (2011) 099	1104.3342
18	S. Descotes-Genon, J. Matias, M. Ramon, and J. Virto	Implications from clean observables for the binned analysis of $B \to K^*\mu^+\mu^-$ at large recoil	JHEP 01 (2013) 048	1207.2753
19	C. Bobeth, G. Hiller, and D. van Dyk	The benefits of $\overline{B} \to \overline{K}^* \ell^+ \ell^-$ decays at low recoil	JHEP 07 (2010) 098	1006.5013
20	C. Bobeth, G. Hiller, D. van Dyk, and C. Wacker	The decay $\overline{B} \to \overline{K} \ell^+ \ell^-$ at low hadronic recoil and model-independent $\Delta B =$ 1 constraints	JHEP 01 (2012) 107	1111.2558
21	C. Bobeth, G. Hiller, and D. van Dyk	General analysis of $\overline{B} \to \overline{K}{}^{(*)} \ell^+ \ell^-$ decays at low recoil	PRD 87 (2012) 034016	1212.2321
22	A. Ali, G. Kramer, and G. Zhu	$B\to K^*\ell^+\ell^-$ decay in soft-collinear effective theory	EPJC 47 (2006) 625	hep-ph/0601034
23	W. Altmannshofer, P. Paradisi, and D. M. Straub	Model-independent constraints on new physics in $b \to s$ transitions	JHEP 04 (2012) 008	1111.1257
24	S. Jager and J. Martin Camalich	On $B \to V \ell \ell$ at small dilepton invariant mass, power corrections, and new physics	JHEP 05 (2013) 043	1212.2263
25	S. Descotes-Genon, T. Hurth, J. Matias, and J. Virto	Optimizing the basis of $B \to {K}^{*}\ell^+ \ell^-$ observables in the full kinematic range	JHEP 05 (2013) 137	1303.5794
26	BaBar Collaboration	Angular distributions in the decay $B \to K^* \ell^+ \ell^-$	PRD 79 (2009) 031102	0804.4412
27	Belle Collaboration	Measurement of the differential branching fraction and forward-backward asymmetry for $B \to K^{(*)} \ell^+ \ell^-$	PRL 103 (2009) 171801	0904.0770
28	CDF Collaboration	Measurements of the angular distributions in the decays $B \to K^{(*)} \mu^+ \mu^-$ at CDF	PRL 108 (2012) 081807	1108.0695
29	LHCb Collaboration	Differential branching fraction and angular analysis of the decay $B^{0} \to K^{*0} \mu^{+}\mu^{-}$	JHEP 08 (2013) 131	1304.6325
30	CMS Collaboration	Angular analysis and branching fraction measurement of the decay $\mathrm{B}^0 \to \mathrm{K}^{*0} \mu^+\mu^-$	PLB 727 (2013) 77	CMS-BPH-11-009 1308.3409
31	CMS Collaboration	Angular analysis of the decay $\mathrm{B}^0 \to \mathrm{K}^{*0} \mu^+\mu^-$ from pp collisions at $\sqrt{s} =$ 8 TeV	PLB 753 (2016) 424	CMS-BPH-13-010 1507.08126
32	LHCb Collaboration	Measurement of form-factor-independent observables in the decay ${B}^{0}{\rightarrow}{K}^{*0}{\mu}^{+}{\mu}^{-}$	PRL 111 (2013) 191801	1308.1707
33	LHCb Collaboration	Angular analysis of the $B^0 \to K^* \mu^+ \mu^-$ decay using 3$fb$^{-1} of integrated luminosity	JHEP 02 (2016) 104	1512.04442
34	Belle Collaboration	Lepton-flavor-dependent angular analysis of $B \to K^* \ell^+\ell^-$	PRL 118 (2017) 111801	1612.05014
35	CMS Collaboration	CMS luminosity based on pixel cluster counting --- Summer 2013 update	CMS-PAS-LUM-13-001	CMS-PAS-LUM-13-001
36	CMS Collaboration	The CMS experiment at the CERN LHC	JINST 3 (2008) S08004	CMS-00-001
37	CMS Collaboration	Description and performance of track and primary-vertex reconstruction with the CMS tracker	JINST 9 (2014) P10009	CMS-TRK-11-001 1405.6569
38	CMS Collaboration	Performance of CMS muon reconstruction in pp collision events at $\sqrt{s} =$ 7 TeV	JINST 7 (2012) P10002	CMS-MUO-10-004 1206.4071
39	CMS Collaboration	The CMS trigger system	JINST 12 (2017) P01020	CMS-TRG-12-001 1609.02366
40	Particle Data Group, C. Patrignani et al.	The Review of Particle Physics	CPC 40 (2016) 100001
41	T. Sjostrand, S. Mrenna, and P. Skands	PYTHIA 6.4 physics and manual	JHEP 05 (2006) 026	hep-ph/0603175
42	D. J. Lange	The EvtGen particle decay simulation package	NIMA 462 (2001) 152
43	E. Barberio, and Z. Was	Photos---a universal Monte Carlo for QED radiative corrections in Z and W decays	EPJC 45 (2006) 97	hep-ph/0506026
44	GEANT4 Collaboration	GEANT4---a simulation toolkit	NIMA 506 (2003) 250
45	D. Be\vcirevi\'c and A. Tayduganov	Impact of $B\to K^{*0} \ell^+\ell^-$ on the new physics search in $B\to K^* \ell^+\ell^-$ decay	NPB 868 (2013) 368	1207.4004
46	J. Matias	On the S-wave pollution of $B \to K^* \ell^+\ell^-$ observables	PRD 86 (2012) 094024	1209.1525
47	T. Blake, U. Egede, and A. Shires	The effect of S-wave interference on the $B^0 \rightarrow K^{*0} \ell^+ \ell^-$ angular observables	JHEP 03 (2013) 027	1210.5279
48	D. W. Scott	Multivariate density estimation: theory, practice, and visualization	Wiley series in probability and mathematical statistics: Applied probability and statistics section, Wiley-Interscience, 1992 ISBN 0-471-54770-0
49	K. S. Cranmer	Kernel estimation in high-energy physics	CPC 136 (2001) 198	hep-ex/0011057
50	F. James and M. Roos	Minuit---a system for function minimization and analysis of the parameter errors and correlations	CPC 10 (1975) 343
51	G. J. Feldman and R. D. Cousins	Unified approach to the classical statistical analysis of small signals	PRD 57 (1998) 3873	physics/9711021
52	P. Ball and R. Zwicky	$B_{d,s} \to \rho,\:\omega,\:K^*,\:\phi$ decay form factors from light-cone sum rules reexamined	PRD 71 (2005) 014029	hep-ph/0412079
53	A. Bharucha, D. M. Straub, and R. Zwicky	$b \to v \ell^+ \ell^-$ in the standard model from light-cone sum rules	JHEP 08 (2016) 098	1503.05534
54	R. R. Horgan, Z. Liu, S. Meinel, and M. Wingate	Lattice QCD calculation of form factors describing the rare decays $B \to K^* \ell^+ \ell^-$ and $B_s \to \phi \ell^+ \ell^-$	PRD 89 (2014) 094501	1310.3722
55	A. Khodjamirian, T. Mannel, A. A. Pivovarov, and Y.-M. Wang	Charm-loop effect in ${B \rightarrow K^{(*)} \ell^+ \ell^-}$ and $b \rightarrow {K}^* \gamma$	JHEP 09 (2010) 089	1006.4945
56	M. Ciuchini et al.	$B \to K^* \ell^+\ell^-$ decays at large recoil in the Standard Model: a theoretical reappraisal	JHEP 06 (2016) 116	1512.07157

Compact Muon Solenoid LHC, CERN

© Copyright CERN 2018 for the benefit of the CMS Collaboration