Prospects for detecting axion-like particles via the decay $Z\to af\bar{f}$ at future $Z$ factories

We investigate the prospects for detecting axion-like particles (ALPs, dubbed as “a”) via the decay $Z\to af\bar{f}$ at future $Z$ factories. Considering the decay channels $a\to {\mu }^{+}{\mu }^{-}$ and $a\rightarrow b \bar{b}$,fourtypesofsignals$\mu^+ \mu^- /E$,$b b /E$,$e^+ e^- \mu^+ \mu^-$and$e^+ e^- b b$ are explored. We demonstrate that these channels are promising for detecting ALPs at $Z$ factories and obtain the sensitivity bounds on the couplings $g_{aZZ}$ and $g_{a\gamma Z}$.