Exploring CP Violation and $\eta$-${\eta }^{\prime }$ Mixing with the $B_{s,d}^0\to J/\psi {\eta }^{(\prime )}$ Systems

Abstract

The $B_{s,d}^0\to J/\psi {\eta }^{(\prime )}$ decays provide new terrain for exploring CP violation. After briefly discussing $\eta$-${\eta }^{\prime }$ mixing, we analyse the effective lifetimes and CP-violating observables of the $B_s$ channels, which allow us to probe New-Physics effects in $B_s^0$-${\bar{B}}_s^0$ mixing. We have a critical look at these observables and show how hadronic corrections can be controlled by means of the $B_d$ decays. Using measurements of the $B_{s,d}^0\to J/\psi {\eta }^{(\prime )}$ branching ratios by the Belle collaboration, we discuss tests of the $SU(3{)}_F$ flavour symmetry of strong interactions, obtain the first constraints on the hadronic parameters entering the $B_{s,d}^0\to J/\psi \eta$ system, and predict the $B_d^0\to J/\psi {\eta }^{\prime }$ branching ratio at the $5\times 10^{-6}$ level. Furthermore, we present strategies for the determination of the $\eta$-${\eta }^{\prime }$ mixing parameters from the $B_{s,d}^0\to J/\psi {\eta }^{(\prime )}$ observables. We also observe that the $B_{s,d}^0\to J/\psi \eta$ and $B_{s,d}^0\to J/\psi {\eta }^{\prime }$ decays are - from a formal point of view - analogous to the quark-antiquark and tetraquark descriptions of the $f_0(980)$ in the $B_{s,d}^0\to J/\psi f_0(980)$ channels, respectively.

17 pages, 3 figures

References in corpus (11)

• Probing New Physics through B Mixing: Status, Benchmarks and Prospects
• Precision Physics with B^0_s -> J/psi phi at the LHC: The Quest for New Physics
• A global fit to determine the pseudoscalar mixing angle and the gluonium content of the eta' meson
• Composition of the Pseudoscalar Eta and Eta' Mesons
• The Golden Modes B^0 -> J/psi K_{S,L} in the Era of Precision Flavour Physics
• Effective Lifetimes of $B_s$ Decays and their Constraints on the $B_s^0$-${\bar{B}}_s^0$ Mixing Parameters
• Anatomy of $B_{s,d}^0\to J/\psi f_0(980)$
• Nonleptonic $B_s$ to charmonium decays: analyses in pursuit of determining the weak phase ${\beta }_s$
• Extracting gamma and Penguin Topologies through CP Violation in B_s^0 -> J/psi K_S
• Theoretical uncertainty in sin 2beta: An update
• $B_s$ Decays and Mixing

Cited by in corpus (31)

• QCD and strongly coupled gauge theories: challenges and perspectives
• Implications of LHCb measurements and future prospects
• Form factors of B, Bs -> eta, eta' and D, Ds -> eta, eta' transitions from QCD light-cone sum rules
• A study of the eta and eta' mesons with improved staggered fermions
• Rare Decays and CP Violation in the $B_s$ System
• 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 $J/\psi {\eta }^{{}^{\prime }}$
• Observation of B^0_(s) -> J/ψf_1(1285) decays and measurement of the f_1(1285) mixing angle
• In Pursuit of New Physics with $B_d^0\to J/\psi K^0$ and $B_s^0\to J/\psi \varphi$ Decays at the High-Precision Frontier
• Implications on $\eta$-${\eta }^{\prime }$-glueball mixing from $B_{d/s}\to J/\Psi {\eta }^{{(}^{\prime })}$ 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 $B_s^0\to J/\psi {\eta }^{\prime }$
• Study of $\eta -{\eta }^{\prime }$ mixing from measurement of $B_{(s)}^0\to J/\psi {\eta }^{(\prime )}$~decay rates
• Determination of the $\eta$-${\eta }^{\prime }$ mixing angle
• On Branching Ratios of $B_s$ Decays and the Search for New Physics in $B_s^0\to {\mu }^{+}{\mu }^{-}$
• Decays $B_s\to J/\psi +\eta$ and $B_s\to J/\psi +{\eta }^{\prime }$ in the framework of covariant quark model
• Branching ratios, $CP$ asymmetries and polarizations of $B\to \psi (2S)V$ decays
• Measurement of the $B_s^0\to J/\psi \eta$ lifetime
• Brief review on semileptonic B decays
• Semileptonic D decays and eta-eta^prime mixing
• Measurement of the $\eta$ -${\eta }^{\prime }$ mixing angle in ${\pi }^{-}$ and $K^{-}$ beams with GAMS-$4\pi$ Setup
• Observation of the $B_s^0\to J/\psi K_{\mathrm{S}}^0{K}^{\pm }{\pi }^{\mp }$ decay
• Charge-exchange reactions from the standpoint of the parton model
• Mixing effects of $\eta -{\eta }^{\prime }$ in ${\Lambda }_b\to \Lambda {\eta }^{{(}^{\prime })}$ decays
• The physics of the $\eta$--${\eta }^{\prime }$ system versus $B^0\to J/\Psi \eta ({\eta }^{\prime })$ and $B_s\to J/\Psi \eta ({\eta }^{\prime })$ decays
• An exploration of $B_s\to J/\psi s\bar{s}$
• Phenomenology with a non-zero B_s decay width difference
• Measurement of the Branching Fraction of $B^0\to J/\psi {\pi }^0$ Decays
• Improved measurement of $\eta /{\eta }^{\prime }$ mixing in $B_{(s)}^0\to J/\psi {\eta }^{(\prime )}$ decays
• Exclusive semileptonic $B$ decays to the ground and excited states of light mesons
• Measurement of ${\tau }_L$ using the $B_s^0\to J/\psi \eta$ decay mode
• Towards New Frontiers in CP Violation in B Decays