Decay constants of the charmed vector mesons $D^{\ast }$ and $D_s^{\ast }$ from QCD sum rules

Abstract

We present a sum-rule calculation of the decay constants of the charmed vector mesons $D^{\ast }$ and $D_s^{\ast }$ from the two-point correlator of vector currents. First, we show that the perturbative expansion in terms of the pole mass exhibits no sign of convergence whereas the reorganization of this expansion in terms of the $\overline{\mathrm{MS}}$ mass leads to a distinct hierarchy. Second, making use of the operator product expansion in terms of the $\overline{\mathrm{MS}}$ mass, we determine the decay constants of the $D^{\ast }$ and $D_s^{\ast }$ mesons with an emphasis on the uncertainties in these theoretically predicted quantities related both to the input QCD parameters and to the limited accuracy of the method of sum rules. Our results are $f_{D^{\ast }}=(252.2\pm 22.3_{\mathrm{OPE}}\pm 4_{\mathrm{syst}})\mathrm{MeV}$ and $f_{D_s^{\ast }}=(305.5\pm 26.8_{\mathrm{OPE}}\pm 5_{\mathrm{syst}})\mathrm{MeV}$. For the ratios of the vector-to-pseudoscalar decay constants we report $f_{D^{\ast }}/f_D=1.221\pm 0.080_{\mathrm{OPE}}\pm 0.008_{\mathrm{syst}}$ and $f_{D_s^{\ast }}/f_{D_s}=1.241\pm 0.057_{\mathrm{OPE}}\pm 0.007_{\mathrm{syst}}$.

arXiv comment9 pages, published version

References in corpus (20)

• The three loop relation between the \bar {MS} and the pole quark masses
• Weak form factors for heavy meson decays: an update
• f_B and f_B_s from QCD sum rules
• Decay constants of heavy-light vector mesons from QCD sum rules
• Relativistic treatment of the decay constants of light and heavy mesons
• The effective continuum threshold in dispersive sum rules
• OPE, charm-quark mass, and decay constants of D and D_s mesons from QCD sum rules
• Decay constants of heavy pseudoscalar mesons from QCD sum rules
• Systematic uncertainties of hadron parameters obtained with QCD sum rules
• Three-loop non-diagonal current correlators in QCD and NLO corrections to single-top-quark production
• Heavy-light current correlators at order ${\alpha }_s^2$ in QCD and HQET
• D-meson decay constants and a check of factorization in non-leptonic B-decays
• Extraction of ground-state decay constant from dispersive sum rules: QCD vs potential models
• Can one control systematic errors of QCD sum rule predictions for bound states?
• Accuracy of bound-state form factors extracted from dispersive sum rules
• Hadron form factors from sum rules for vacuum-to-hadron correlators
• Effective continuum threshold for vacuum-to-bound-state correlators
• Accurate bottom-quark mass from Borel QCD sum rules for $f_B$ and $f_{B_s}$
• Bound-state parameters from dispersive sum rules for vacuum-to-vacuum correlators
• Extraction of bound-state parameters from dispersive sum rules

Cited by in corpus (42)

• Analysis of the masses and decay constants of the heavy-light mesons with QCD sum rules
• Recent Progress in QCD Condensate Evaluations and Sum Rules
• Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach
• Effective Majorana mass matrix from tau and pseudoscalar meson lepton number violating decays
• Exclusive decays $B\to {\ell }^{-}\bar{\nu }$ and $B\to D^{(\ast )}{\ell }^{-}\bar{\nu }$ in the covariant quark model
• XYZ-like Spectra from Laplace Sum Rule at N2LO in the Chiral Limit
• Analysis of Two-body Charmed $B$ Meson Decays in Factorization-Assisted Topological-Amplitude Approach
• Strong decays of $T_{c\bar{s}0}(2900{)}^{++/0}$ as a fully open-flavor tetraquark state
• Heavy-Light Mesons on the Light Front
• Masses of J^PC =1^-+ exotic quarkonia in a Bethe-Salpeter-equation approach
• Decay constants of pseudoscalar and vector mesons with improved holographic wavefunction
• Mass spectra and decay properties of $D$ Meson in a relativistic Dirac formalism
• Exclusive decays $J/\psi \to D_{(s)}^{(\ast )-}{\ell }^{+}{\nu }_{\ell }$ in a covariant constituent quark model with infrared confinement
• Accurate decay-constant ratios $f_{B^{\ast }}/f_B$ and $f_{B_s^{\ast }}/f_{B_s}$ from Borel QCD sum rules
• XYZ-SU3 Breakings from Laplace Sum Rules at Higher Orders
• Semileptonic decays of $B_c$ mesons into charmonium states
• Masses and decay constants of the heavy tensor mesons with QCD sum rules
• Charmful two-body anti-triplet $b$-baryon decays
• Testing the doubly charged charm-strange tetraquarks
• Exclusive nonleptonic Bc-meson decays to S-wave charmonium states
• Annihilation type rare radiative $B_{(s)}\to V\gamma$ decays
• Purely leptonic decays of the ground charged vector mesons
• Isospin breaking in the decay constants of heavy mesons from QCD sum rules
• Strong three-meson couplings of $J/\psi$ and ${\eta }_c$
• Factorization and angular distribution asymmetries in charmful baryonic B decays
• Decay Constants of Beauty Mesons from QCD Sum Rules
• Study of nonleptonic $B_q^{\ast }$ $\to$ $D_{q}V$ and $P_q{D}^{\ast }$ weak decays
• Chiral-partner D mesons in a heat bath within QCD sum rules
• Semileptonic baryonic $B$ decays
• Local-duality QCD sum rules for strong isospin breaking in the decay constants of heavy-light mesons
• Precise Ratios of Decay Constants of Vector over Pseudoscalar $B_{(s)}$ Mesons
• Charmful two-body ${\Omega }_b$ decays in the light-front quark model
• Charmed Pseudoscalar and Vector Mesons: a Comprehensive QCD Sum-Rule View of Their Decay Constants
• Heavy-Meson Decay Constants: QCD Sum-Rule Glance at Isospin Breaking
• Strong Isospin Breaking in the Decay Constants of Heavy-Light Mesons from Local-Duality QCD Sum Rules
• Three-Body $B_{(s)}^0$ to $\varphi {\pi }^{+}{\pi }^{-}$ Decays
• Heavy-Meson Decay Constants: Isospin Breaking from QCD Sum Rules
• Advances in QCD sum rule calculations
• Beauty Vector Meson Decay Constants from QCD Sum Rules
• Strong Couplings of Three Mesons with Charm(ing) Involvement
• On the description of exotic hadron states within QCD sum rules
• QCD Sum Rules for Heavy-Meson Decay Constants: Impact of Renormalization Scale and Scheme