Eur. Phys. J. C (2015) 75: 136
https://doi.org/10.1140/epjc/s10052-015-3354-4

Regular Article - Theoretical Physics

Glueball production via gluonic penguin decays

¹ Department of Physics, INPAC, SKLPPC, Shanghai Jiao Tong University, Shanghai, 200240, China
² National Center for Theoretical Sciences and Physics Department of National Tsing Hua University, Hsinchu, Taiwan
³ Department of Physics, National Taiwan University, Taipei, 10764, Taiwan
⁴ Institute of Physics, Academia Sinica, Nangang, Taipei, 11529, Taiwan

^* e-mail: hexg@phys.ntu.edu.tw

Received: 7 November 2014
Accepted: 10 March 2015
Published online: 24 March 2015

Abstract

We study glueball production in gluonic penguin decay , using the next-to-leading order 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 Lagrangians to incorporate the interaction between a glueball and pseudoscalar mesons. Mixing effects between the pure glueball with other mesons are considered. Identifying the as a scalar glueball, we find that both the top and the charm penguin are important and obtain a sizable branching ratio for of order , where the effective coupling strength is estimated to be GeV using experimental data for the branching ratio of based on a chiral Lagrangian estimate. An alternative perturbative QCD based estimation of is a factor of 20 larger, which would imply a much enhanced branching ratio. Glueball production from this rare semi-inclusive 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.