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Using data collected in the Belle experiment at the KEKB asymmetric-energy$e^+e^-$ collider we search for transitions $\Upsilon(4S) \rightarrow\eta_b(1S)\omega$, $\Upsilon(5S) \rightarrow \eta_b(1S)\omega$ and$\Upsilon(5S) \rightarrow \eta_b(2S)\omega$. No significant signals areobserved and we set 90\% confidence level upper limits on the correspondingvisible cross sections: $0.2 ~\textrm{pb}, 0.4 ~\textrm{pb}$ and $1.9~\textrm{pb}$, respectively.

Search for transitions from $\Upsilon(4S)$ and $\Upsilon(5S)$ to $\eta_b(1S)$ and $\eta_b(2S)$ with emission of an $\omega$ meson