Low-energy constants and condensates from the tau hadronic spectral functions

Abstract

We use results of fits to the OPAL spectral data, obtained from non-strange hadronic τdecays, to evaluate the difference between the vector and axial current correlators, Π_{V-A}(Q^2). The behavior of Π_{V-A}(Q^2) near euclidean momentum Q^2=0 is used to determine the effective low-energy constants L_10^eff and C_87^eff related to the renormalized low-energy constants L_10^r and C_87^r in the chiral lagrangian. We also investigate how well two-loop chiral perturbation theory describes Π_{V-A}(Q^2) as a function of Q^2. This is the first determination of L_10^eff and C_87^eff to employ a fully self-consistent model for the violations of quark-hadron duality in both the vector and axial channels. We also discuss the values of the coefficients C_{6,V-A} and C_{8,V-A} governing the dimension six and eight contributions to the operator product expansion representation of Π_{V-A}(Q^2).

20 pages, 3 figures; final version to appear in journal, new subsection on estimates for L_10^r and C_87^r added

References in corpus (12)

• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• alpha_s and the tau hadronic width: fixed-order, contour-improved and higher-order perturbation theory
• An updated determination of α_s from tau decays
• A Rational Approach to Resonance Saturation in large-Nc QCD
• Alpha_s(M_Z) from hadronic tau decays
• Unraveling duality violations in hadronic tau decays
• Perturbative expansion of tau hadronic spectral function moments and alpha_s extractions
• A new determination of α_s from hadronic τ decays
• Possible duality violations in tau decay and their impact on the determination of alpha_s
• On the Radiative Pion Decay
• Tests of the naturalness of the coupling constants in ChPT at order p^6
• Determination of QCD condensates from tau-decay data

Cited by in corpus (21)

• Mesonic low-energy constants
• Finite-volume effects in the muon anomalous magnetic moment on the lattice
• Nearly perturbative lattice-motivated QCD coupling with zero IR limit
• Updated determination of chiral couplings and vacuum condensates from hadronic tau decay data
• Precision physics with inclusive QCD processes
• Low-energy constants and condensates from ALEPH hadronic $\tau$ decay data
• Dispersive analysis of glueball masses
• Chiral sum rules and vacuum condensates from tau-lepton decay data
• QCD sum rules with spectral densities solved in inverse problems
• Chiral extrapolation of the leading hadronic contribution to the muon anomalous magnetic moment
• A Combined NNLO Lattice-Continuum Determination of $L_{10}^r$
• NNLO low-energy constants from flavor-breaking chiral sum rules based on hadronic tau-decay data
• Lattice-motivated QCD coupling and hadronic contribution to muon $g-2$
• The case for duality violations in the analysis of hadronic $\tau$ decays
• Perturbative QCD in acceptable schemes with holomorphic coupling
• Determination of the NNLO low-energy constant $C_{93}$
• Tests of quark-hadron duality in tau-decays
• Low-energy constants and condensates from the V-A spectrum
• Effective Field Theories and Lattice QCD
• ChPT parameters from tau-decay data
• TAU2014 Opening Talk