The V-A sum rules and the Operator Product Expansion in complex q^2-plane from tau-decay data

Abstract

The operator product expansion (OPE) for the difference of vector and axial current correlators is analyzed for complex values of momentum q^2. The vector and axial spectral functions, taken from hadronic tau-decay data, are treated with the help of Borel, Gaussian and spectral moments sum rules. The range of applicability, advantages and disadvantages of each type are discussed. The general features of OPE are confirmed by the data. The vacuum expectation values of dimension 6 and 8 operators are found to be O_6=-(6.8\pm 2.1)*10^{-3} GeV^6, O_8=(7\pm 4)*10^{-3} GeV^8.

1 latex + 10 eps files, 14 pages

Cited by in corpus (47)

• The Physics of Hadronic Tau Decays
• Analysis of Y(2175) as a tetraquark state with QCD sum rules
• Duality violations and spectral sum rules
• Geometric approach to condensates in holographic QCD
• Hints on the power corrections from current correlators in x-space
• V-A hadronic tau decays : a laboratory for the QCD vacuum
• On the Behavior of the Effective QCD Coupling alpha_tau(s) at Low Scales
• Vector and axial-vector correlators in a nonlocal chiral quark model
• The check of QCD based on the tau-decay data analysis in the complex q^2-plane
• Improved Determination of the Electroweak Penguin Contribution to epsilon'/epsilon in the Chiral Limit
• QCD Condensates for the Light Quark V-A Correlator
• Neural network parametrization of spectral functions from hadronic tau decays and determination of QCD vacuum condensates
• Finite energy chiral sum rules in QCD
• Condensates in Quantum Chromodynamics
• Determination of <2pi_{I=2}|Q_{7,8}|K0> in the Chiral Limit
• Axial anomaly and the precise value of the ${\pi }^0\to 2\gamma$ decay width
• Chiral Condensates, Q_7 and Q_8 Matrix Elements and Large-N_c QCD
• Pinched weights and Duality Violation in QCD Sum Rules: a critical analysis
• Violation of Quark-Hadron Duality and Spectral Chiral Moments in QCD
• Updated determination of chiral couplings and vacuum condensates from hadronic tau decay data
• Chiral condensates from tau decay: a critical reappraisal
• Long-distance dimension-eight operators in B_K
• Parity projection of QCD sum rules for the nucleon
• Operator Product Expansion with analytic QCD in tau decay physics
• Determination of QCD condensates from tau-decay data
• Nucleon QCD sum rules with the radiative corrections
• Pentaquark decay is suppressed by chirality conservation
• V-A sum rules with D=10 operators
• Note on finite temperature sum rules for vector and axial-vector spectral functions
• Gluon condensate and c-quark mass in pseudoscalar sum rules at 3-loop order
• QCD condensates from tau-decay data: A functional approach
• QCD condensates of dimension D=6 and D=8 from hadronic tau-decays
• Strong decay ${\Delta }^{++}\to p\pi$ with light-cone QCD sum rules
• Relations between vacuum condensates and low energy parameters from a rational approach
• Analysis of the vertices $\rho NN$, $\rho \Sigma \Sigma$ and $\rho \Xi \Xi$ with light-cone QCD sum rules
• Weinberg like sum rules revisited
• Perturbative QCD in acceptable schemes with holomorphic coupling
• QCD sum rules on the complex Borel plane
• Single-particle spectral density of the unitary Fermi gas: Novel approach based on the operator product expansion, sum rules and the maximum entropy method
• Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules
• Second moment of quark structure function of the rho-meson in QCD sum rules
• Hadronic $\tau$ decay, the renormalization group, analiticity of the polarization operators and QCD parameters
• Valence quark distributions in nucleon at low $Q^2$ in QCD
• Isospin symmetry breaking and the neutron-proton mass difference
• Quark distributions in QCD sum rules: unexpected features and paradoxes
• Duality violation in QCD Sum Rules with the LR correlator
• Correlators of hadron currents: the model and the ALEPH data on tau-decay