Abstract
In the paper, we discuss the possibility of observation of heavy quarkoniums via the processes involving flavor changing neutral currents (FCNC). More explicitly, we systematically calculate the production of heavy charmonium and (c{bar{b}})-quarkonium through the top quark semi-exclusive rare FCNC decays in the framework of the non-relativistic QCD (NRQCD) factorization theory. Our results show that the total decay widths Gamma _{trightarrow eta _c} =1.20^{+1.04+1.14}_{-0.51-0.45}times 10^{-16} GeV, Gamma _{trightarrow J/psi } =1.37^{+1.03+1.30}_{-0.51-0.51}times 10^{-16} GeV, Gamma _{trightarrow B_c}=2.06^{+0.17+0.91}_{-0.17-0.54}times 10^{-18} GeV, and Gamma _{trightarrow B^*_c}=6.27^{+0.63+2.78}_{-0.62-1.64}times 10^{-18} GeV, where the uncertainties are from variation of quark masses and renormalization scales. Even though the decay widths are small, it is important to make a systematic study on the production of charmonium and (c{bar{b}})-quarkonium through the top-quark decays via FCNC in the Standard Model, which will provide useful guidance for future new physics research from the heavy quarkonium involved processes.
Highlights
Since the discovery of the heavy quarkonium, the research on it attracts more and more attentions from theorists and experimentalists
As an important way to study the QCD mechanism, the production of heavy quarkonium is very useful for testing perturbative QCD theory [1,2,3,4,5,6]
Being the heaviest fermion with a mass close to the electroweak symmetry breaking scale in standard model (SM), the top quark is helpful for analyzing the production of the heavy quarkonium and is speculated to be a sensitive probe of new physics beyond the SM
Summary
Since the discovery of the heavy quarkonium, the research on it attracts more and more attentions from theorists and experimentalists. There are many studies focused on the top-quark rare decays via FCNC in the SM [33,34,35,36,37,38,39,40,41,42,43] and other new models like the two-Higgsdoublet models (2HDM) [33], the minimal supersymmetric model (MSSM) [44,45,46], the Topcolor-assisted Technicolor Model (TC2) [47,48,49,50] and other models [51,52,53] These researches confirmed that FCNC processes could be unambiguous small and could provide a useful window in the quest for new physics signals. The decay width of the process t → |(cQ )[n] + Q + Z 0 can be written in the following factorized form
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