Glueball Production via Gluonic Penguin B Decays

Abstract

We study glueball $G$ production in gluonic penguin decay $B\to G+X_s$, using the next-to-leading order $b\to s{g}^{\ast }$ gluonic penguin interaction and effective couplings of a glueball to two perturbative gluons. Subsequent decays of a scalar glueball are described by using techniques of effective chiral Lagrangian to incorporate the interaction between a glueball and pseudoscalar mesons. Mixing effects between the pure glueball with other mesons are considered. Identifying the $f_0(1710)$ to be a scalar glueball, we find that both the top and charm penguin to be important and obtain a sizable branching ratio for $B\to f_0(1710)+X_s$ of order $1.3\times 10^{-4} (f/0.07\mbox{GeV}^{-1})^2$, where the effective coupling strength $f$ is estimated to be $0.07$ GeV${}^{-1}$ using experimental data for the branching ratio of $f_0(1710)\to K\overline{K}$ based on chiral Lagrangian estimate. An alternative perturbative QCD based estimation of $f$ is a factor of 20 larger, which would imply a much enhanced branching ratio. Glueball production from this rare semi-inclusive $B$ decay can be probed at the LHCb and Belle II to narrow down the allowed parameter space. Similar branching ratio is expected for the pseudoscalar glueball. We also briefly comment on the case of vector and tensor glueballs.

arXiv commentLatex 14 pages with 2 figures. Significant update from the older version of arXiv:hep-ph/0612108. Version to appear in Eur. Phys. J. C

References in corpus (30)

• Glueball Spectrum and Matrix Elements on Anisotropic Lattices
• Masses, decays and mixings of gluonia in QCD
• Scalar Quarkonium Masses and Mixing with the Lightest Scalar Glueball
• Observation of a resonance X(1835) in J/ψ--> γπ^+ π^- η^{\prime}
• Towards the glueball spectrum from unquenched lattice QCD
• Identification of a Scalar Glueball
• Confirmation of the X(1835) and observation of the resonances X(2120) and X(2370) in J/psi->gamma pi^+pi^-eta'
• Scalar nonet quarkonia and the scalar glueball: mixing and decays in an effective chiral approach
• Production of $f_0(1710)$, $f_0(1500)$, and $f_0(1370)$ in $J/\psi$ hadronic decays
• B to eta' + X and The QCD Anomaly
• Scalar Glueball, Scalar Quarkonia, and their Mixing
• Enhanced $b\to sg$ Decay, Inclusive ${\eta }^{\prime }$ Production, and the Gluon Anomaly
• Chiral Suppression of Scalar Glueball Decay
• Direct instantons, topological charge screening and QCD glueball sum rules
• Decay of the pseudoscalar glueball into scalar and pseudoscalar mesons
• Pseudoscalar glueball mass from $\eta$-${\eta }^{\prime }$-$G$ mixing
• Decays of tensor mesons and the tensor glueball in an effective field approach
• Mass Uncertainties of f0(600) and f0(1370) and their Effects on Determination of the Quark and Glueball Admixtures of the I=0 Scalar Mesons
• Hunting for glueballs in electron-positron annihilation
• Scalar Glueball Mixing and Decay
• Comment on "Chiral Suppression of Scalar Glueball Decay"
• Some properties of the newly observed X(1835) state at BES
• New Members in the $0^{+}$ ($0^{++})$ Family
• Pseudoscalar Glueball Mass: QCD vs. Lattice Gauge Theory Prediction
• On Two-Body Decays of A Scalar Glueball
• Radiative Decay of ${\rm Y}$ into a Scalar Glueball
• Implications for $B\to \eta K$ and $B\to Glueball+K$ Modes from Observed Large $B\to {\eta }^{\prime }K+X$
• B--> eta' X_s in the Standard Model
• f_0(1710) production in exclusive B decays
• Scalar and Pseudoscalar Glueballs

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