Glueball production via gluonic penguin \(B\) decays

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• 作者：Xiao-Gang He (1) (2) (3)
  Tzu-Chiang Yuan (4)
  
  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
  
• 刊名：The European Physical Journal C - Particles and Fields
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：75
• 期：3
• 全文大小：294 KB
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• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Elementary Particles and Quantum Field Theory
  Nuclear Physics, Heavy Ions and Hadrons
  Physics beyond the Standard Model
  Measurement Science and Instrumentation
  Astronomy, Astrophysics and Cosmology
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1434-6052

文摘

We study glueball \(G\) production in gluonic penguin decay \(B\rightarrow G + X_s\) , using the next-to-leading order \(b\rightarrow s g^*\) 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 Lagrangians to incorporate the interaction between a glueball and pseudoscalar mesons. Mixing effects between the pure glueball with other mesons are considered. Identifying the \(f_0(1710)\) as a scalar glueball, we find that both the top and the charm penguin are important and obtain a sizable branching ratio for \(B\rightarrow f_0(1710) + X_s\) of order \(1.3\times 10^{-4}(f/0.07\,\text{ GeV }^{-1})^2\) , where the effective coupling strength \(f\) is estimated to be \(0.07\) GeV \(^{-1}\) using experimental data for the branching ratio of \(f_0(1710) \rightarrow K \overline{K}\) 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.