Study of $\eta -{\eta }^{\prime }$ mixing from measurement of $B_{(s)}^0\to J/\psi {\eta }^{(\prime )}$~decay rates

Abstract

A study of $B^0$~and $B_s^0$ meson decays into $J/\psi \eta$~and $J/\psi {\eta }^{\prime }$ final states is performed using a data set of proton-proton collisions at centre-of-mass energies of 7 and 8TeV, collected by the LHCb experiment and corresponding to 3.0fb${}^{-1}$ of integrated luminosity. The decay $B^0\to J/\psi {\eta }^{\prime }$ is observed for thefirst time. The following ratios of branching fractions are measured: $$\frac{\mathcal{B}(B^0\to J/\psi {\eta }^{\prime })}{\mathcal{B}(B_s^0\to J/\psi {\eta }^{\prime })}=(2.28\pm 0.65(stat)\pm 0.10(syst)\pm 0.13(f_s/f_d))\times 10^{-2},$$ $$\frac{\mathcal{B}(B^0\to J/\psi \eta )}{\mathcal{B}(B_s^0\to J/\psi \eta )}=(1.85\pm 0.61(stat)\pm 0.09(syst)\pm 0.11(f_s/f_d))\times 10^{-2},$$ where the third uncertainty is related to the present knowledge of $f_s/f_d$, the ratio between the probabilities for a $b$ quark to form a $B_s^0$ or $B^0$ meson. The branching fraction ratios are used to determine the parameters of $\eta -{\eta }^{\prime }$ meson mixing. In addition, the first evidence for the decay $B_s^0\to \psi (2S){\eta }^{\prime }$ is reported, and the relative branching fraction is measured, $$\frac{\mathcal{B}(B_s^0\to \psi (2S){\eta }^{\prime })}{\mathcal{B}(B_s^0\to J/\psi {\eta }^{\prime })}=(38.7\pm 9.0(stat)\pm 1.3(syst)\pm 0.9(\mathcal{B}))\times 10^{-2},$$ where the third uncertainty is due to the limited knowledge of the branching fractions of $J/\psi$ and $\psi (2S)$~mesons.

arXiv comment26 pages, 7 figures

References in corpus (56)

• PYTHIA 6.4 Physics and Manual
• PYTHIA 6.2 Physics and Manual
• A Brief Introduction to PYTHIA 8.1
• Big-Bang Nucleosynthesis
• PHOTOS Monte Carlo: a precision tool for QED corrections in Z and W decays
• sPlot: a statistical tool to unfold data distributions
• Mixing and Decay Constants of Pseudoscalar Mesons
• Performance of the LHCb RICH detector at the LHC
• Decay Chain Fitting with a Kalman Filter
• Performance of the LHCb Vertex Locator
• Performance of the LHCb Outer Tracker
• Performance of the LHCb muon system
• Branching Ratio Measurements of $B_s$ Decays
• Measurement of b hadron production fractions in 7 TeV pp collisions
• Observation of $J/\psi$ pair production in pp collisions at $\sqrt{s}=7TeV$
• Measurement of the fragmentation fraction ratio $f_s/f_d$ and its dependence on $B$ meson kinematics
• Evidence for the decay $X(3872)\to \psi (2S)\gamma$
• Study of the eta-eta' system in the two mixing angle scheme
• Measurement of CP violation and the B_s^0 meson decay width difference with B_s^0\to J/ψK^+ K^- and B_s^0\to J/ψπ^+π^- decays
• The $\eta -{\eta }^{\prime }$ Mixing Angle Revisited
• On the gluon content of the eta and eta' mesons
• Performance of the Muon Identification at LHCb
• A global fit to determine the pseudoscalar mixing angle and the gluonium content of the eta' meson
• eta - eta prime Mixing -From electromagnetic transitions to weak decays of charm and beauty hadrons
• Composition of the Pseudoscalar Eta and Eta' Mesons
• Measurement of the ratio of prompt ${\chi }_c$ to $J/\psi$ production in $pp$ collisions at $\sqrt{s}=7$ TeV
• Mixing of eta-eta' Mesons in J/psi Decays into a Vector and a Pseudoscalar Meson
• Observation of the decay $B_c^{+}\to \psi (2S){\pi }^{+}$
• Charmed meson decays to two pseudoscalars
• Nonleptonic $B_s$ to charmonium decays: analyses in pursuit of determining the weak phase ${\beta }_s$
• Radiative VPgamma transitions and eta-eta' mixing
• Absolute Branching Fraction Measurements of Exclusive D^+ Semileptonic Decays
• Decays of Charmed Mesons to PV Final States
• Determination of f_s/f_d for 7 TeV pp collisions and a measurement of the branching fraction of the decay Bd->D-K+
• Evidence for the decay $B^0\to J/\psi \omega$ and measurement of the relative branching fractions of $B_s^0$ meson decays to $J/\psi \eta$ and $J/\psi {\eta }^{{}^{\prime }}$
• Exploring CP Violation and $\eta$-${\eta }^{\prime }$ Mixing with the $B_{s,d}^0\to J/\psi {\eta }^{(\prime )}$ Systems
• Absolute Branching Fraction Measurements for Exclusive $D_s$ Semileptonic Decays
• J/psi->VP decays and the quark and gluon content of the eta and eta'
• Measurement of relative branching fractions of B decays to $\psi (2S)$ and $J/\psi$ mesons
• Studies of D^+ -> {eta', eta, phi} e^+ nu_e
• Determination of the $\eta$ and ${\eta }^{\prime }$ Mixing Angle from the Pseudoscalar Transition Form Factors
• Two analytical constraints on the $\eta$-${\eta }^{\prime }$ mixing
• Observations of $B_s^0\to \psi (2S)\eta$ and $B_{(s)}^0\to \psi (2S){\pi }^{+}{\pi }^{-}$ decays
• Measurement of $B^0\to J/\psi {\eta }^{(}{}^{\prime }{}^{)}$ and Constraint on the $\eta -{\eta }^{\prime }$ Mixing Angle
• First observation of $B_s^0\to J/\psi \eta$ and $B_s^0\to J/\psi {\eta }^{\prime }$
• Photon-meson transition form factors of light pseudoscalar mesons
• ${\eta }_c$ mixing effects on charmonium and $B$ meson decays
• Relations for two body B Decays to Charmonium and tests for $\eta -{\eta }^{\prime }$ mixing
• Observation of B^+ -> psi(2S) K^+ and B^0 -> psi(2S) K^*(892)^0 Decays and Measurements of B-Meson Branching Fractions into J/psi and psi(2S) Final States
• Rare $B_s$ decays in the relativistic quark model
• Observation of $B_s^0\to {\chi }_{c1}\varphi$ decay and study of $B^0\to {\chi }_{c1,2}{K}^{\ast 0}$ decays
• Observation of the decay $B^0\to J/\psi \eta$
• Observation of Bs to Psi(2S)phi and Measurement of Ratio of Branching Fractions B (Bs --> Psi(2S)phi) / B (Bs --> J/Psi phi)
• Effect of $\eta$--${\eta }^{\prime }$ mixing on $D\to PV$ decays
• Measurement of the $\eta$ -${\eta }^{\prime }$ mixing angle in ${\pi }^{-}$ and $K^{-}$ beams with GAMS-$4\pi$ Setup
• Relative rates of B meson decays into psi(2S) and J/psi mesons

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