D and D_{S} decay constants from QCD duality at three loops

Abstract

We compute the decay constants of the pseudoscalar mesons D and D_{s} using a linear combination of finite energy sum rules which minimize the contribution of the unknown continuum spectral function. We employ the recent three loop calculation of the pseudoscalar two-point function expanded in powers of the running charm quark mass. The theoretical uncertainties arising from the QCD asymptotic expansion are quite relevant in this case due to the relative small scale of the charm mass. We obtain the following results: f_{D}=177 \pm 21 MeV and f_{D_{s}}=205 \pm 22 MeV. These results, within the error bars, are in good agreement with estimates obtained using Borel transform QCD sum rules, but somewhat smaller than results of recent lattice computations.

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Cited by in corpus (28)

• Decay constants of heavy-light vector mesons from QCD sum rules
• Analysis of the masses and decay constants of the heavy-light mesons with QCD sum rules
• Charm Meson Decays
• Precision Measurement of B(D+ -> mu+ nu) and the Pseudoscalar Decay Constant fD+
• B, D and K decays
• Measurement of B(Ds+ -->ell+ nu) and the Decay Constant fDs From 600/pb of e+e- Annihilation Data Near 4170 MeV
• Analysis of the vertices $D^{\ast }{D}_{s}K$, $D_s^{\ast }DK$,$D_0{D}_{s}K$ and $D_{s0}DK$ with the light-cone QCD sum rules
• The transition form factors for semi-leptonic weak decays of $J/\psi$ in QCD sum rules
• Measurements of branching fractions of leptonic and hadronic Ds+ meson decays and extraction of the Ds+ meson decay constant
• Wave functions and decay constants of $B$ and $D$ mesons in the relativistic potential model
• Analysis of the vertices D^*D^* P, D^*D V and DDV with light-cone QCD sum rules
• Measurement of the Absolute Branching Fractions for $D_s^{-}\to {\ell }^{-}{\bar{\nu }}_{\ell }$ and Extraction of the Decay Constant $f_{D_s}$
• Determination of the pseudoscalar decay constant $f_{D_s^{+}}$ via $D_s^{+}\to {\mu }^{+}{\nu }_{\mu }$
• Contribution of $DK$ Continuum in the QCD Sum Rule for $D_{sJ}(2317)$
• |V_{cd}|, |V_{cs}| and f_{D_s} from (semi) leptonic $D_{(s)}$-decays : signals of New Physics ?
• Determination of the pion distribution amplitude
• Chiral corrections to the $SU(2)\times SU(2)$ Gell-Mann-Oakes-Renner relation
• Analysis of the decay constants of the heavy pseudoscalar mesons with QCD sum rules
• Analysis of the vertices $DDV$ and $D^{\ast }DV$ with light-cone QCD sum rules
• Measurement of B(D_S^+ --> ell^+ nu) and the Decay Constant f_D_{S^+}
• Decay Constants and Distribution Amplitudes of B Meson in the Relativistic Potential Model
• Form factors $f_{+}^{B\to \pi }(0)$ and $f_{+}^{D\to \pi }(0)$ in $QCD$ and determination of $|V_{ub}|$ and $|V_{cd}|$
• SU(3) symmetry breaking in decay constants and electromagnetic properties of pseudoscalar heavy mesons
• Upper bounds on $f_D$ and $f_{D_s}$ from two-point correlation function in QCD
• Final-state interactions in the decays $B^0\to {\chi }_{c0}{K}^{\ast 0}$ and $B^{+}\to {\chi }_{c0}{K}^{\ast +}$
• Final state interactions in the decay $B^0\to {\eta }_c{K}^{\ast }$
• Measurement of Ds+ to mu+ nu and the Decay constant f_Ds
• Chiral Corrections to the Gell-Mann-Oakes-Renner Relation from QCD Sum Rules