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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2007, Volume 86, Issue 10, Pages 722–724
(Mi jetpl914)
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This article is cited in 5 scientific papers (total in 5 papers)
FIELDS, PARTICLES, AND NUCLEI
The running mass $m_s$ at low scale from the heavy-light meson decay constants
A. M. Badalianab, B. L. G. Bakkera a 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.
Received: 22.10.2007
Citation:
A. M. Badalian, B. L. G. Bakker, “The running mass $m_s$ at low scale from the heavy-light meson decay constants”, Pis'ma v Zh. Èksper. Teoret. Fiz., 86:10 (2007), 722–724; JETP Letters, 86:10 (2007), 634–636
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https://www.mathnet.ru/eng/jetpl914 https://www.mathnet.ru/eng/jetpl/v86/i10/p722
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Abstract page: | 160 | Full-text PDF : | 47 | References: | 30 |
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