Glueball production via gluonic penguin B decays

We study glueball G production in gluonic penguin decay B → G + X_s, using the next-to-leading order b → sg* 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 chiralLagrangians to incorporate the interaction between a glueball and pseudoscalar mesons.Mixing effects between the pure glueball with other mesons are considered. Identifying the f₀(1710) as a scalar glueball, we find that both the top and the charm penguin are important and obtain a sizable branching ratio for B → f₀(1710) + X_s of order 1.3 x 10^-4(f/0.07 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 f₀(1710) → K anti K based on a 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. A similar branching ratio is expected for the pseudoscalar glueball. We also briefly comment on the case of vector and tensor glueballs. (orig.)