Next-to-leading order QCD corrections to $Z\to {\eta }_Q+Q+\bar{Q}$

Abstract

It has been found that at a high luminosity $e^{+}{e}^{-}$ collider, sizable ${\eta }_c+c\bar{c}X$ and ${\eta }_b+b\bar{b}X$ events can be produced when it works around the $Z$ peak. In this paper, we calculate the decay widths of $Z\to {\eta }_c+c+\bar{c}+X$ and $Z\to {\eta }_b+b+\bar{b}+X$ up to next-to-leading order (NLO) accuracy. We find that the NLO corrections are significant in these two processes. After including the NLO corrections, the decay widths of $Z\to {\eta }_c+c+\bar{c}+X$ and $Z\to {\eta }_b+b+\bar{b}+X$ are enhanced by about $37\%$ and $28\%$ for the case of ${\mu }_R=2m_c$ and ${\mu }_R=2m_b$, respectively. The differential decay widths $d\Gamma /d{s}_1$ and $d\Gamma /dz$ for these two decay processes are also analyzed.

Comments: 10 pages, 11 figures