The correlation function of two pseudoscalar charmed quark currents with a positive hadronic spectral density is employed to obtain upper bounds on the decay constants of $D$ and $D_s$ mesons. Including all known terms of the operator-product-expansion of this correlation function in QCD and taking into account the estimated uncertainties, we obtain $f_{ D}<230 $ MeV and $f_{ D_s}<270$ MeV. Comparison with the decay constants determined from $D\to l \nu_l$ and $D_s\to l \nu_l$ measurements, reveals a tension between the bound and current experimental value of $f_{ D_s}$.
Categories: hep-ph