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
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.
© SIF and Springer-Verlag Berlin Heidelberg, 2015
