$J/{\psi}$ ${\to}$ $D_{s,d}{\pi}$, $D_{s,d}K$ decays with perturbative QCD approach

TL;DR

This paper investigates rare weak decay modes of the $J/\psi$ particle into $D_{s,d}$ and light mesons using perturbative QCD, predicting branching ratios that could be observed in future experiments.

Contribution

It provides the first perturbative QCD calculation of $J/\psi$ weak decays into $D_{s,d}$ and light mesons, estimating their branching ratios.

Findings

Branching ratio for $J/\psi \to D_s \pi$ can reach $10^{-10}$.

Potential observability of these decays at future high-luminosity experiments.

Abstract

Besides the conventional strong and electromagnetic decay modes, the $J/{\psi}$ particle can also decay via the weak interaction in the standard model. In this paper, nonleptonic $J/{\psi}$ ${\to}$ $D_{s,d}{\pi}$, $D_{s,d}K$ weak decays, corresponding to the externally emitted virtual $W$ boson process, are investigated with the perturbative QCD approach. It is found that branching ratio for the Cabibbo-favored $J/{\psi}$ ${\to}$ $D_{s}{\pi}$ decay can reach up to ${\cal O}(10^{-10})$, which might be potentially measurable at the future high-luminosity experiments.