$Z\gamma$ production in $p\overline{p}$ collisions at $\sqrt{s}=1.8\mathrm{}\mathrm{TeV}$ and limits on anomalous $\mathrm{ZZ}\gamma$ and $Z\gamma \gamma$ couplings

We present a study of $Z\gamma +X$ production in $p\overline{p}$ collisions at $\sqrt{s}=1.8\mathrm{}\mathrm{TeV}$ from 97 $\mathrm{}\left(87\right)\mathrm{}{\mathrm{pb}}^{\mathrm{-}1}$ of data collected in the $\mathrm{ee}\gamma$ (μμγ) decay channel with the D0 detector at Fermilab. The event yield and kinematic characteristics are consistent with the standard model predictions. We obtain limits on anomalous $\mathrm{ZZ}\gamma$ and $Z\gamma \gamma$ couplings for form factor scales $\Lambda =500\mathrm{}\mathrm{GeV}$ and $\Lambda =750\mathrm{}\mathrm{GeV}.$ Combining this analysis with our previous results yields 95% C.L. limits $|h_{30}^Z|<0.36,$ $|h_{40}^Z|<0.05,$ $|h_{30}^{\gamma }|<0.37,$ and $|h_{40}^{\gamma }|<0.05\mathrm{}$ for a form factor scale $\Lambda =750\mathrm{}\mathrm{GeV}.$