Glueball Production via Gluonic Penguin B Decays

TL;DR

This paper investigates the production of scalar glueballs in B meson decays via gluonic penguin processes, estimating branching ratios and exploring implications for experiments like LHCb and Belle II.

Contribution

It provides a detailed calculation of glueball production in B decays using NLO gluonic penguin interactions and effective couplings, considering mixing effects and decay channels.

Findings

Branching ratio for B→f0(1710)+X_s estimated at 1.3×10^{-4}

Effective coupling f estimated at 0.07 GeV^{-1} from experimental data

Alternative QCD estimate suggests a much larger branching ratio

Abstract

We study glueball $G$ production in gluonic penguin decay $B\to G + X_s$, using the next-to-leading order $b\to s g^*$ 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.