$Z_0$ Boson Decays to $B^{(*)}_c$ Meson and Its Uncertainties

Physics – High Energy Physics – High Energy Physics - Phenomenology

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11 pages, 5 figures, 2 tables. To be published in Eur.Phys.J.C

Scientific paper

10.1140/epjc/s10052-010-1450-z

The programming new $e^{+}e^-$ collider with high luminosity shall provide another useful platform to study the properties of the doubly heavy $B_c$ meson in addition to the hadronic colliders as LHC and TEVATRON. Under the `New Trace Amplitude Approach', we calculate the production of the spin-singlet $B_c$ and the spin-triplet $B^*_c$ mesons through the $Z^0$ boson decays, where uncertainties for the production are also discussed. Our results show $\Gamma_{(^1S_0)}= 81.4^{+102.1}_{-40.5}$ KeV and $\Gamma_{(^3S_1)}=116.4^{+163.9}_{-62.8}$ KeV, where the errors are caused by varying $m_b$ and $m_c$ within their reasonable regions.

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