Extraction of bound-state parameters from dispersive sum rules

Abstract

The procedure of extracting the ground-state parameters from vacuum-to-vacuum and vacuum-to-hadron correlators within the method of sum rules is considered. The emphasis is laid on the crucial ingredient of this method - the effective continuum threshold. A new algorithm to fix this quantity is proposed and tested. First, a quantum-mechanical potential model which provides the only possibility to probe the reliability and the actual accuracy of the sum-rule method is used as a study case. In this model, our algorithm is shown to lead to a remarkable improvement of the accuracy of the extracted ground-state parameters compared to the standard procedures adopted in the method and used in all previous applications of dispersive sum rules in QCD. As a next step, it is demonstrated that the procedures of extracting the ground-state decay constant in the potential model and in QCD are quantitatively very close to each other. Therefore, the application of the proposed algorithm in QCD promises a considerable increase of the accuracy of the extracted hadron parameters.

11 pages

References in corpus (7)

• The effective continuum threshold in dispersive sum rules
• Systematic uncertainties of hadron parameters obtained with QCD sum rules
• Extraction of ground-state decay constant from dispersive sum rules: QCD vs potential models
• Pion form factor at spacelike momentum transfers from local-duality QCD sum rule
• QCD sum rules with nonlocal condensates and the spacelike pion form factor
• Effective continuum threshold for vacuum-to-bound-state correlators
• Bound-state parameters from dispersive sum rules for vacuum-to-vacuum correlators

Cited by in corpus (21)

• Recent Progress in QCD Condensate Evaluations and 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
• Decay constants of the charmed vector mesons $D^{\ast }$ and $D_s^{\ast }$ from QCD sum rules
• Accurate bottom-quark mass from Borel QCD sum rules for $f_B$ and $f_{B_s}$
• Pion elastic and $({\pi }^0,\eta ,{\eta }^{\prime })\to \gamma {\gamma }^{\ast }$ transition form factors in a broad range of momentum transfers
• The puzzle of the π-> γγ* transition form factor
• Accurate decay-constant ratios $f_{B^{\ast }}/f_B$ and $f_{B_s^{\ast }}/f_{B_s}$ from Borel QCD sum rules
• Accuracy of the pion elastic form factor extracted from a local-duality sum rule
• New results on Pionic Twist-3 Distribution Amplitudes within the QCD Sum Rules
• The ${\gamma }^{\ast }{\gamma }^{\ast }\to {\eta }_c$ transition form factor
• Isospin breaking in the decay constants of heavy mesons from QCD sum rules
• Decay Constants of Beauty Mesons from QCD Sum Rules
• Local-duality QCD sum rules for strong isospin breaking in the decay constants of heavy-light mesons
• Charmed Pseudoscalar and Vector Mesons: a Comprehensive QCD Sum-Rule View of Their Decay Constants
• Strong Isospin Breaking in Heavy-Meson Decay Constants: Employing Borelized QCD Sum Rules in Local-Duality Limit
• Beauty Vector Meson Decay Constants from QCD Sum Rules
• Heavy-Meson Decay Constants: Isospin Breaking from QCD Sum Rules
• On the description of exotic hadron states within QCD sum rules
• Bound-state properties from field-theory correlators
• QCD Sum Rules for Heavy-Meson Decay Constants: Impact of Renormalization Scale and Scheme