Measurement of cross sections of the interactions $e^+e^-rightarrow phiphiomega$ and $e^+e^-rightarrow phiphiphi$ at center-of-mass energies from 4.008 to 4.600 GeV

Using data samples collected with the BESIII detector at the BEPCII collider at six center-of-mass energies between 4.008 and 4.600 GeV, we observe the processes $e^+e^-rightarrow phiphiomega$ and $e^+e^-rightarrow phiphiphi$. The Born cross sections are measured and the ratio of the cross sections $sigma(e^+e^-rightarrow phiphiomega)/sigma(e^+e^-rightarrow phiphiphi)$ is estimated to be $1.75pm0.22pm0.19$ averaged over six energy points, where the first uncertainty is statistical and the second is systematic. The results represent first measurements of these interactions.