Implications on $\eta$-${\eta }^{\prime }$-glueball mixing from $B_{d/s}\to J/\Psi {\eta }^{{(}^{\prime })}$ Decays

Abstract

We point out that the recent Belle measurements of the $B_{d/s}\to J/\Psi {\eta }^{{(}^{\prime })}$ decays imply large pseudoscalar glueball contents in the ${\eta }^{(\prime )}$ meson. These decays are studied in the perturbative QCD (PQCD) approach, considering the $\eta$-${\eta }^{\prime }$-$G$ mixing, where $G$ represents the pseudoscalar glueball. It is shown that the PQCD predictions for the $B_{d/s}\to J/\Psi {\eta }^{{(}^{\prime })}$ branching ratios agree well with the data for the mixing angle ${\varphi }_G\approx 30^{\circ }$ between the flavor-singlet state and the pure pseudoscalar glueball. Extending the formalism to the $\eta$-${\eta }^{\prime }$-$G$-${\eta }_c$ tetramixing, the abnormally large observed $B_d\to K{\eta }^{\prime }$ branching ratios are also explained. The proposed mixing formalism is applicable to other heavy meson decays into ${\eta }^{(\prime )}$ mesons, and could be tested by future LHCb and Super-$B$ factory data.

Improved version, references added, 7 pages, 1 figure

References in corpus (7)

• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Measurement of the pseudoscalar mixing angle and ${\eta }^{\prime }$ gluonium content with KLOE detector
• Pseudoscalar glueball mass from $\eta$-${\eta }^{\prime }$-$G$ mixing
• Composition of the Pseudoscalar Eta and Eta' Mesons
• Branching ratios and CP asymmetries of $B\to K{\eta }^{(\prime )}$ decays in the pQCD approach
• Gluonic contribution to $B\to {\eta }^{(\prime )}$ form factors
• Rare $B_s$ decays to $\eta$ and ${\eta }^{\prime }$ final states

Cited by in corpus (24)

• The Status of Glueballs
• Transition form factors ${\gamma }^{\ast }\gamma \to \eta$ and ${\gamma }^{\ast }\gamma \to {\eta }^{\prime }$ in QCD
• Semileptonic decays $B\to D^{(\ast )}l\nu$ in the perturbative QCD factorization approach
• 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 $J/\psi {\eta }^{{}^{\prime }}$
• Penguin Pollution in $B\to J/\psi V$ Decays and Impact on the Extraction of the $B_s-{\bar{B}}_s$ mixing phase
• Anatomy of $B\to K{\eta }^{(\prime )}$ decays in different mixing schemes and effects of next-to-leading order contributions in the perturbative QCD approach
• Semileptonic decays $B/B_s \to (η,\etar, G)(l^+l^-,l\barν,ν\barν)$ in the perturbative QCD approach beyond the leading order
• Decays $B_s\to J/\psi +\eta$ and $B_s\to J/\psi +{\eta }^{\prime }$ in the framework of covariant quark model
• Nonleptonic charmless decays of $B_c\to TP,TV$ in the perturbative QCD approach
• Branching ratios, $CP$ asymmetries and polarizations of $B\to \psi (2S)V$ decays
• Understanding the cross section of $e^{+}{e}^{-}\to \eta J/\psi$ process via nonrelativistic QCD
• Phenomenological studies on the $B_{d,s}^0\to J/\psi f_0(500)[f_0(980)]$ decays
• Recent Developments on the CKM Matrix
• Axial-vector $f_1(1285)-f_1(1420)$ mixing and $B_s\to J/\psi (f_1(1285),f_1(1420))$ decays
• The $\rho {\gamma }^{\ast }\to \pi (\rho )$ transition form factors in the Perturbative QCD factorization approach
• Measurement of the $\eta$ -${\eta }^{\prime }$ mixing angle in ${\pi }^{-}$ and $K^{-}$ beams with GAMS-$4\pi$ Setup
• Branching ratios and $CP$ asymmetries of $B\to {\chi }_{c1}K(\pi )$ decays
• Radiative $h_{c/b}$ decays to $\eta$ or ${\eta }^{\prime }$
• Studies on the $B\to \kappa \bar{\kappa }$ decays in the perturbative QCD approach
• Revisiting nonfactorizable contributions to factorization-forbidden decays of $B$ mesons to charmonium
• Form factors for semileptonic $B_c$ decays into ${\eta }^{{(}^{\prime })}$ and Glueball
• Mixing effects of $\eta -{\eta }^{\prime }$ in ${\Lambda }_b\to \Lambda {\eta }^{{(}^{\prime })}$ decays
• Charmless hadronic $B\to (f_1(1285),f_1(1420))P$ decays in the perturbative QCD approach
• An exploration of $B_s\to J/\psi s\bar{s}$