Upper bounds on $f_D$ and $f_{D_s}$ from two-point correlation function in QCD

Abstract

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 $f_{D_s}$.

8 pages, 3 figures, a few comments,a table and references added, version to appear in Phys.Rev.D

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• A fresh look into m_{c,b} and precise f_{D_(s),B_(s)} from heavy-light QCD spectral sum rules
• Self-consistent covariant description of vector meson decay constants and chirality-even quark-antiquark distribution amplitudes up to twist-3 in the light-front quark model
• Self-consistency and covariance of light-front quark models: testing via $P$, $V$ and $A$ meson decay constants, and $P\to P$ weak transition form factors
• Interpretation of the "$f_{D_s}$ puzzle" in SM and beyond
• Analysis of the decay constants of the heavy pseudoscalar mesons with QCD sum rules
• QCD sum rules for parameters of the $B$-meson distribution amplitudes
• $B\to D_1(2420)$ and $B\to D_1^{\prime }(2430)$ form factors from QCD light-cone sum rules
• Summary on m_{c,b}(m_{c,b}) and precise f_{D_(s),B_(s)} from heavy-light QCD spectral sum rules