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VOLUME 86 (2007) | ISSUE 10 | PAGE 722
The running mass ms at low scale from the heavy-light meson decay constants
PACS: 12.38.Lg, 12.39.Ki, 14.40.-n
Abstract
It is shown that a 25(20)% difference between the decay constants fDs(fBs) and fD(fB) occurs due to large differences in the pole masses of the s and d(u) quarks. The values \eta_D=f_{D_s}/f_D\approx 1.23(15), recently observed in the CLEO experiment, and \eta_B=f_{B_s}/f_B\approx 1.20, obtained in unquenched lattice QCD, can be reached only if in the relativistic Hamiltonian the running mass ms at low scale is m_s(\sim 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.