Semileptonic $B^{-}\to f_0(1710,1500,1370)e^{-}{\bar{\nu }}_e$ decays

Abstract

We study the semileptonic decays of $B^{-}\to f_0(1710,1500,1370)e^{-}{\bar{\nu }}_e$, in which the three $f_0$ states mix with glueball, $\bar{s}s$ and $(\bar{u}u+\bar{d}d)/\sqrt{2}$ states, respectively. By averaging the mixings fitted in the literature, we find that the branching ratios of $B^{-}\to f_0{e}^{-}{\bar{\nu }}_e$ are $O(10^{-6})$, $O(10^{-6})$ and $O(10^{-5})$, respectively, which can be simultaneously observed in experiments at $B$ factories. The large predicted branching rate for $B^{-}\to f_0(1370)e^{-}{\bar{\nu }}_e$ would provide a clean mode to directly observe the $f_0(1370)$ state.

Comments: 7 pages