Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-12-19
Phys.Rev.D79:031503,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages, 3 figures, a few comments,a table and references added, version to appear in Phys.Rev.D
Scientific paper
10.1103/PhysRevD.79.031503
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 $f_{D_s}$.
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