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

TL;DR

This paper calculates the decay widths of $Z_0$ bosons into $B_c$ mesons using the New Trace Amplitude Approach, highlighting uncertainties from quark mass variations, and emphasizes the collider's potential for studying doubly heavy mesons.

Contribution

It introduces a calculation of $Z_0$ boson decays into $B_c$ mesons with uncertainty analysis using the New Trace Amplitude Approach, providing new theoretical predictions.

Findings

Decay widths for $B_c$ and $B_c^*$ are estimated with uncertainties.

Uncertainties mainly stem from variations in $m_b$ and $m_c$.

Results support future collider studies of doubly heavy mesons.

Abstract

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.