Light quark mass dependence of the $D$ and $D_s$ decay constants

Abstract

We study the light quark mass dependence of the $D$ and $D_s$ meson decay constants, $f_D$ and $f_{D_s}$, using a covariant formulation of chiral perturbation theory ($\chi$PT) at next-to-next-to-leading order (NNLO). Using the HPQCD lattice results for the $D$($D_s$) decay constants as a benchmark we show that covariant $\chi$PT can describe the HPQCD results better than heavy meson $\chi$PT (HM$\chi$PT) at both NLO and NNLO. Within the same framework, taking into account sub-leading ($1/m_Q$, with $m_Q$ the heavy quark mass) corrections to the values of the low-energy constants and employing the lattice QCD results for $g_{B{B}^{\ast }\pi }$, we estimate the ratio of $f_{B_s}/f_B$ to be $1.22_{-0.04}^{+0.05}$, which agrees well with the HPQCD result $1.226(26)$.

16 pages, 4 figures

References in corpus (12)

• 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
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Leading SU(3)-breaking corrections to the baryon magnetic moments in Chiral Perturbation Theory
• Accumulating evidence for nonstandard leptonic decays of D_s mesons
• $D\to K,l\nu$ Semileptonic Decay Scalar Form Factor and $|V_{cs}|$ from Lattice QCD
• The lowest-lying baryon masses in covariant SU(3)-flavor chiral perturbation theory
• SU(2) and SU(3) chiral perturbation theory analyses on baryon masses in 2+1 flavor lattice QCD
• Determination of B*B pi coupling in unquenched QCD
• Measurement of B(Ds -> munu)
• SU(3)-breaking corrections to the hyperon vector coupling $f_1(0)$ in covariant baryon chiral perturbation theory

Cited by in corpus (1)

• The masses and axial currents of the doubly charmed baryons