$D_s$ decays to $\eta$ and $\eta^\prime$ final states: a phenomenological analysis

Abstract

We consider the semileptonic and nonleptonic $D_s$ decay modes to final states with $\eta$ and $\eta^\prime$. We use QCD sum rules to determine the $D_s \to \eta$ form factor $f_+^\eta$, and a generalized factorization ansatz to compute nonleptonic decays. We propose a parameterization of possible OZI suppressed contributions producing the $\eta^\prime$ in the final state, compatible with current data; such a scheme can be further constrained improving the precision of the measurement of the $D_s$ decay rates, as expected by the ongoing experiments.