Potential observation of the $\Upsilon(6S) \to \Upsilon(1^3D_J) \eta$ transitions at Belle II

TL;DR

This paper predicts that certain hidden-bottom transitions of the $S$ meson could have branching ratios around 10^{-3}, making them promising targets for observation at Belle II.

Contribution

It introduces a novel estimation of branching ratios for $S$ decays to $1^3D_J \, eta$ via triangle hadronic loops, suggesting feasible experimental detection.

Findings

Branching ratios estimated around 10^{-3}.

Potential for observation at Belle II.

Highlights importance of triangle hadronic loops.

Abstract

We perform the investigation of two-body hidden-bottom transitions of the $\Upsilon(6S)$, which include $\Upsilon(6S) \to \Upsilon(1^3D_J) \eta~~(J=1,2,3)$ decays. For estimating the branching ratios of these processes, we consider contributions from the triangle hadronic loops composed of S-wave $B_{(s)}$ and $B_{(s)}^*$ mesons, which are a bridge to connect the $\Upsilon(6S)$ and final states. Our results show that both of the branching ratios of these decays can reach $10^{-3}$. Due to such considerable potential to observe these two-body hidden-bottom transitions of the $\Upsilon(6S)$, we suggest the forthcoming Belle II experiment to explore them.