Abstract
It is shown that a 25(20)% difference between the decay constants \(f_{D_s } \) (\(f_{B_s} \)) and f D (f B ) occurs due to large differences in the pole masses of the s and d(u) quarks. The values η D = \(f_{D_s } \)/f D ∼ 1.23(15), recently observed in the CLEO experiment, and η B = \(f_{B_s } \)/f B ∼ 1.20, obtained in unquenched lattice QCD, can be reached only if, in the relativistic Hamiltonian the running mass, m s at low scale is m s (∼0.5 GeV) = 170–200 MeV. Our results follow from the analytical expression for the pseudoscalar decay constant f P based on the path-integral representation of the meson Green’s function.
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