SU(3) breaking corrections to the $D$, $D^{\ast }$, $B$, and $B^{\ast }$ decay constants

Abstract

We report on a first next-to-next-to-leading order calculation of the decay constants of the $D$ ($D^{\ast }$) and $B$ ($B^{\ast }$) mesons using a covariant formulation of chiral perturbation theory. It is shown that, using the state-of-the-art lattice QCD results on $f_{D_s}/f_D$ as input, one can predict quantitatively the ratios of $f_{D_s^{\ast }}/f_{D^{\ast }}$, $f_{B_s}/f_B$, and $f_{B_s^{\ast }}/f_{B^{\ast }}$ taking into account heavy-quark spin-flavor symmetry breaking effects on the relevant low-energy constants. The predicted relations between these ratios, $f_{D_s^{\ast }}/f_{D^{\ast }}<f_{D_s}/f_D$ and $f_{B_s}/f_B>f_{D_s}/f_D$, and their light-quark mass dependence should be testable in future lattice QCD simulations, providing a stringent test of our understanding of heavy quark spin-flavor symmetry, chiral symmetry and their breaking patterns.

11 pages, 2 figures, 2 tables; typos corrected, clarifications added, results remaining unchanged

References in corpus (11)

• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• Update: Precision D_s decay constant from full lattice QCD using very fine lattices
• Neutral B Meson Mixing in Unquenched Lattice QCD
• Decay constants and radiative decays of heavy mesons in light-front quark model
• Accumulating evidence for nonstandard leptonic decays of D_s mesons
• Relativistic treatment of the decay constants of light and heavy mesons
• Low-energy interactions of Nambu-Goldstone bosons with $D$ mesons in covariant chiral perturbation theory
• Decay constants of the heavy-light mesons from the field correlator method
• Determination of B*B pi coupling in unquenched QCD
• Neutral B-meson mixing from unquenched lattice QCD with domain-wall light quarks and static b-quarks
• Light quark mass dependence of the $D$ and $D_s$ decay constants

Cited by in corpus (4)

• Scattering lengths of Nambu-Goldstone bosons off $D$ mesons and dynamically generated heavy-light mesons
• Recent developments in SU(3) covariant baryon chiral perturbation theory
• Leading order relativistic hyperon-nucleon interactions in chiral effective field theory
• Strangeness $S=-1$ hyperon-nucleon scattering in covariant chiral effective field theory