Measurement of ${\Omega }_{c}^{0}$ baryon production and branching-fraction ratio $\mathrm{BR}\left({\Omega }_{c}^{0}\to {\Omega }^{-}{e}^{+}{\nu }_{e}\right)/\mathrm{BR}\left({\Omega }_{c}^{0}\to {\Omega }^{-}{\pi }^{+}\right)$ in $pp$ collisions at $\sqrt{s}=13\text{}\text{}\mathrm{TeV}$

The inclusive production of the charm-strange baryon ${\Omega }_{c}^{0}$ is measured for the first time via its semileptonic decay into ${\Omega }^{-}{e}^{+}{\nu }_{e}$ at midrapidity ($|y|<0.8$) in proton-proton (pp) collisions at the center-of-mass energy $\sqrt{s}=13\text{}\text{}\mathrm{TeV}$ with the ALICE detector at the LHC. The transverse momentum (${p}_{T}$) differential cross section multiplied by the branching ratio is presented in the interval $2<{p}_{T}<12\text{}\text{}\mathrm{GeV}/c$. The branching-fraction ratio $\mathrm{BR}\left({\Omega }_{c}^{0}\to {\Omega }^{-}{e}^{+}{\nu }_{e}\right)/\mathrm{BR}\left({\Omega }_{c}^{0}\to {\Omega }^{-}{\pi }^{+}\right)$ is measured to be $1.12±0.22$ (stat) $±0.27$ (syst). Comparisons with other experimental measurements, as well as with theoretical calculations, are presented.