R-ratio of electron-positron annihilation into hadrons: higher-order pi2-terms
arXiv:1608.04205 · doi:10.1016/j.nuclphysbps.2016.12.030
Abstract
High-energy behavior of R-ratio of electron-positron annihilation into hadrons is studied. In particular, it is argued that at any given order of perturbation theory the re-expansion of the R-ratio in the ultraviolet asymptotic can be reduced to the form of power series in the naive continuation of the strong running coupling into the timelike domain. The convergence range of the re-expanded R-ratio and the corresponding higher-order pi2-terms are discussed.
arXiv commentBased on talks given at the 14th Workshop on Nonperturbative QCD (13 - 16 June 2016, Paris, France) and the 19th International QCD Conference (QCD 16) (4 - 8 July 2016, Montpellier, France); 5 pages, 3 figures
References in corpus (60)
- QCD forces and heavy quark bound states
- Light-Front Holographic QCD and Emerging Confinement
- Hadronic Z- and tau-Decays in Order alpha_s^4
- Analytic Model for the QCD Running Coupling with Universal Value
- The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
- Precise determination of the f0(600) and f0(980) pole parameters from a dispersive data analysis
- Estimates of the higher-order QCD corrections to R(s), R_τ and deep-inelasstic scattering sum rules
- Effective Field Theory Description of the Pion Form Factor
- Hadron structure from lattice quantum chromodynamics
- Adler Function, Sum Rules and Crewther Relation of Order O(alpha_s^4): the Singlet Case
- Analytic perturbation theory in QCD and Schwinger's connection between the beta-function and the spectral density
- Transport Coefficients in Yang--Mills Theory and QCD
- Ten years of the Analytic Perturbation Theory in QCD
- Analytic Invariant Charge in QCD
- Analytic Perturbation Theory and Inclusive Tau Decay
- Quark-antiquark potential in the analytic approach to QCD
- The vector form factor of the pion from unitarity and analyticity: a model-independent approach
- Vector and axial-vector correlators in a nonlocal chiral quark model
- Bound state approach to the QCD coupling at low energy scales
- Small-x behavior of the structure function F_2 and its slope partial ln(F_2)/partial ln(1/x) for "frozen" and analytic strong-coupling constants
- The massive analytic invariant charge in QCD
- QCD coupling below 1 GeV from quarkonium spectrum
- Global Fractional Analytic Perturbation Theory in QCD with Selected Applications
- Holographic QCD: Past, Present, and Future
- The pseudoscalar hadronic channel contribution of the light-by-light process to the muon (g-2) within the nonlocal chiral quark model
- Taming Landau singularities in QCD perturbation theory: The analytic approach 2.0
- Analogs of noninteger powers in general analytic QCD
- The Bjorken Sum Rule in the Analytic Approach to Perturbative QCD
- Infrared behavior of the running coupling constant and bound states in QCD
- Infrared enhanced analytic coupling and chiral symmetry breaking in QCD
- Renormalization Scheme and Higher Loop Stability in Hadronic Decay within Analytic Perturbation Theory
- Extended analytic QCD model with perturbative QCD behavior at high momenta
- Matching Chiral Perturbation Theory and the Dispersive Representation of the Scalar Kpi Form Factor
- A novel integral representation for the Adler function
- Adler function and hadronic contribution to the muon g-2 in a nonlocal chiral quark model
- FAPT: a Mathematica package for calculations in QCD Fractional Analytic Perturbation Theory
- Analyticity and higher twists
- QCDMAPT: program package for Analytic approach to QCD
- QCD sum rules with nonlocal condensates and the spacelike pion form factor
- anQCD: a Mathematica package for calculations in general analytic QCD models
- Lattice study of vacuum polarization function and determination of strong coupling constant
- Gauge Invariant Summation of All QCD Virtual Gluon Exchanges
- Dispersive approach to QCD and inclusive tau lepton hadronic decay
- Operator Product Expansion with analytic QCD in tau decay physics
- Q2-evolution of parton densities at small x values. Combined H1 and ZEUS F2 data
- Calculation of binding energies and masses of quarkonia in analytic QCD models
- Running coupling constant and masses in QCD, the meson spectrum
- Status of the lepton g-2 and effects of hadronic corrections
- Glueballs and Mesons: the Ground States
- Gluon Propagator in Fractional Analytic Perturbation Theory
- On the low-energy behavior of the Adler function
- An Exact, Finite, Gauge-Invariant, Non-Perturbative Model of QCD Renormalization
- Non-perturbative QCD amplitudes in quenched and eikonal approximations
- Analytic, Non-Perturbative, Gauge-invariant QCD: Nucleon Scattering and Binding Potentials
- Chiral symmetry in the low-energy limit of QCD at finite temperature
- A theorem on the Higgs sector of the Standard Model
- Improved nonsinglet QCD analysis of the fixed-target DIS data
- Pion form factor analysis using NLO analytic perturbation theory
- The QCD analytic effective charge and its dependence on the pion mass
- Quark gap equation within the analytic approach to QCD