Hidden-bottom hadronic transitions of $\Upsilon \left(10753\right)$

Assuming that the $\Upsilon \left(10753\right)$ is a $4S\text{−}3D$ mixed state, we investigated the hidden-bottom hadronic decays of the $\Upsilon \left(10753\right)\to {\eta }_b\left(1S\right)\omega \left({\eta }^{(\prime )}\right)$ via the intermediate meson loops. In a commonly accepted range of the model parameter $\alpha$ in the form factor, the predicted branching ratios may reach to the order of ${10}^{-3}–{10}^{-2}$. The relative ratio of the partial decay widths of the $\Upsilon \left(10753\right)\to {\eta }_b{\eta }^{(\prime )}$ to $\Upsilon \left(10753\right)\to {\eta }_b\omega$ is found to be dependent on the $\eta \text{−}{\eta }^{\prime }$ mixing angle. In addition, we also calculated the ratios of the partial decays widths of the $\Upsilon \left(10753\right)\to {\eta }_b\omega$ to $\Upsilon \left(10753\right)\to \Upsilon \left(nS\right){\pi }^{+}{\pi }^{-}$ ($n=1$, 2), which are found to be around 0.4 and 0.2 for $n=1$ and $n=2$, respectively. These values are in accordance with the preliminary experimental results. The calculations presented here tend to favor the $\Upsilon \left(10753\right)$ as the $4S\text{−}3D$ mixture. We hope these predictions could be verified by the future Belle II experiments.