This article is cited in 5 papers

FIELDS, PARTICLES, AND NUCLEI

The running mass $m_s$ at low scale from the heavy-light meson decay constants

A. M. Badalian^ab, B. L. G. Bakker<sup>a

a</sup> State Research Center, Institute of Theoretical and Experimental Physics
^b Department of Physics and Astronomy, Vrije Universiteit Amsterdam

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 $\eta_D=f_{D_s}/f_D\approx1.23(15)$, recently observed in the CLEO experiment, and $\eta_B=f_{B_s}/f_B\approx1.20$, obtained in unquenched lattice QCD, can be reached only if in the relativistic Hamiltonian the running mass $m_s$ at low scale is $m_s(\sim0.5$ GeV)$=170-200$ MeV. Our results follow from the analytical expression for the pseudoscalar decay constant $f_{\rm P}$ based on the path-integral representation of the meson Green's function.

PACS: 12.38.Lg, 12.39.Ki, 14.40.-n

Received: 22.10.2007

Language: English

 English version: Journal of Experimental and Theoretical Physics Letters, 2007, 86:10, 634–636

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