Bound-state parameters from dispersive sum rules for vacuum-to-vacuum correlators

Abstract

We study the extraction of the ground-state parameters from vacuum-to-vacuum correlators. We work in quantum-mechanical potential model which provides the only possibility to probe the reliability and the actual accuracy of this method: one obtains the bound-state parameters from the correlators by the standard procedures adopted in the method of sum rules and compares these results with the exact values calculated from the Schroedinger equation. We focus on the crucial ingredient of the method of sum rules - the effective continuum threshold - and propose a new algorithm to fix this quantity. In a quantum-mechanical model, our procedure leads 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. The application of the proposed procedure in QCD promises a considerable increase of the accuracy of the extracted hadron parameters.

Introduction modified, comment on analytic properties of dual correlators added

References in corpus (5)

• The effective continuum threshold in dispersive sum rules
• Systematic uncertainties of hadron parameters obtained with QCD sum rules
• Can one control systematic errors of QCD sum rule predictions for bound states?
• Dispersion representations and anomalous singularities of the triangle diagram
• Heavy-to-light form factors: sum rules on the light cone and beyond

Cited by in corpus (26)

• OPE, charm-quark mass, and decay constants of D and D_s mesons from QCD sum rules
• Decay constants of the charmed vector mesons $D^{\ast }$ and $D_s^{\ast }$ from QCD sum rules
• Decay constants of heavy pseudoscalar mesons from QCD sum rules
• Extraction of ground-state decay constant from dispersive sum rules: QCD vs potential models
• Tetraquark-adequate formulation of 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
• Extraction of bound-state parameters from dispersive sum rules
• Accurate decay-constant ratios $f_{B^{\ast }}/f_B$ and $f_{B_s^{\ast }}/f_{B_s}$ from Borel QCD sum rules
• Tetraquark-adequate QCD sum rules for quark-exchange processes
• Accuracy of the pion elastic form factor extracted from a local-duality sum rule
• 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
• Multiquark-Adequate QCD Sum Rules: the Case of Flavour-Exotic Tetraquarks
• 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
• Advances in QCD sum rule calculations
• On the description of exotic hadron states within QCD sum rules
• Bound-state properties from field-theory correlators
• Multiquark-Oriented QCD Sum Rules
• QCD Sum Rules for Heavy-Meson Decay Constants: Impact of Renormalization Scale and Scheme