An analytic method of describing $R$-related quantities in QCD

Abstract

A model based on the analytic approach to QCD, involving a summation of threshold singularities and taking into account the nonperturbative character of the light quark masses, is applied to find hadronic contributions to different physical quantities. It is shown that the suggested model allows us to describe well such objects as the hadronic contribution to the anomalous magnetic moment of the muon, the ratio of hadronic to leptonic $\tau$-decay widths in the vector channel, the Adler $D$-function, the smeared $R_{\Delta }$-function, and the hadronic contribution to the evolution of the fine structure constant.

16 pages, 6 eps figures, references added

References in corpus (26)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Measurement of the Negative Muon Anomalous Magnetic Moment to 0.7 ppm
• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• Analytic Model for the QCD Running Coupling with Universal ${\bar{\alpha }}_s(0)$ Value
• Updated Estimate of the Muon Magnetic Moment Using Revised Results from e+e- Annihilation
• Non-perturbative Propagators, Running Coupling and Dynamical Quark Mass of Landau gauge QCD
• Estimates of the higher-order QCD corrections to R(s), R_τ and deep-inelasstic scattering sum rules
• Infrared Exponents and Running Coupling of SU(N) Yang-Mills Theories
• Predictions for g-2 of the muon and alpha_QED(M_Z^2)
• Hadronic Contributions to the Muon $g-2$ and Low-Energy QCD
• Leptonic contribution to the effective electromagnetic coupling constant up to three loops
• Analytic Perturbation Theory in analyzing some QCD observables
• Analytic perturbation theory in QCD and Schwinger's connection between the beta-function and the spectral density
• A theory driven analysis of the effective QED coupling at $M_Z$
• Testing non-perturbative strong interaction effects via the Adler function
• Analytic Perturbation Theory and Inclusive Tau Decay
• Analytic Approach in Quantum Chromodynamics
• Vector and axial-vector correlators in a nonlocal chiral quark model
• The Adler Function for Light Quarks in Analytic Perturbation Theory
• Adler function and hadronic contribution to the muon g-2 in a nonlocal chiral quark model
• Analytic Perturbation Theory: A New Approach to the Analytic Continuation of the Strong Coupling Constant ${\alpha }_S$ into the Timelike Region
• Can the QCD Effective Charge Be Symmetrical in the Euclidean and the Minkowskian Regions?
• Relativistic Coulomb Resummation in QCD
• Measurement of Branching Fractions in Tau Decays
• V-A hadronic tau decays : a QCD laboratory
• Dynamical masses of quarks in quantum chromodynamics

Cited by in corpus (14)

• The QCD Running Coupling
• Ten years of the Analytic Perturbation Theory in QCD
• Precision measurements of sigma_hadronic for alpha_eff(E) at ILC energies and (g-2)_mu
• Various versions of analytic QCD and skeleton-motivated evaluation of observables
• Analogs of noninteger powers in general analytic QCD
• Dispersive approach to QCD and inclusive tau lepton hadronic decay
• Hadronic vacuum polarization function within dispersive approach to QCD
• On the low-energy behavior of the Adler function
• Threshold resummation $S$-factor in QCD: the case of unequal masses
• Hadronic effects in low-energy QCD: inclusive tau lepton decay
• Inclusive tau lepton hadronic decay in vector and axial-vector channels within dispersive approach to QCD
• Dispersive approach to QCD: tau lepton hadronic decay in vector and axial-vector channels
• Rational approximations in Analytic QCD
• $R_{e^{+}{e}^{-}}$ and an effective QCD charge