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- Title
Running mass m <sub> s </sub> at low scale from the heavy-light meson decay constants.
- Authors
Badalian, A. M.; Bakker, B. L. G.
- 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.
- Subjects
MESON decay; QUARKS; HAMILTONIAN systems; LATTICE theory; PARTICLES (Nuclear physics)
- Publication
JETP Letters, 2008, Vol 86, Issue 10, p634
- ISSN
0021-3640
- Publication type
Article
- DOI
10.1134/S0021364007220043