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

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 ${\eta }_D=f_{D_s}/f_D\approx 1.23(15)$, 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 the running mass $m_s$ 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 $f_{\mathrm{P}}$ based on the path-integral representation of the meson Green's function.

6 pages, no figures; revtex4

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• The New Heavy Mesons: A Status Report
• Evidence of the Purely Leptonic Decay B- --> tau- nu_tau-bar
• Relativistic treatment of the decay constants of light and heavy mesons
• Decay constants of the heavy-light mesons from the field correlator method
• Strange Quark Mass from Pseudoscalar Sum Rule with O(alpha_s^4) Accuracy
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Cited by in corpus (6)

• Higher excitations of the $D$ and $D_s$ mesons
• The chiral transitions in heavy-light mesons
• Magnetic moments of mesons
• The Hyperfine Splittings in Heavy-Light Mesons and Quarkonia
• The Regge trajectories and leptonic widths of the vector $s\bar{s}$ mesons
• The coupled-channel analysis of $D_s$ and $B_s$ mesons