Reconciling the analytic QCD with the ITEP operator product expansion philosophy

Abstract

Analytic QCD models are those versions of QCD in which the running coupling parameter a(Q^2) has the same analytic properties as the spacelike physical quantities, i.e., no singularities in the complex Q^2 plane except on the timelike semiaxis. In such models, a(Q^2) usually differs from its perturbative analog by power terms ~(Lambda^2/Q^2)^k for large momenta, introducing thus nonperturbative terms in spacelike physical quantities whose origin is the UV regime. Consequently, it contradicts the ITEP-OPE philosophy which states that such terms can come only from the IR regimes. We investigate whether it is possible to construct analytic QCD models which respect the ITEP-OPE philosophy and, at the same time, reproduce not just the high-energy QCD observables, but also the low-energy ones, among them the well-measured semihadronic tau decay ratio.

33 pages, 13 figures, 7 tables; grammatical corrections in the text; to appear in PRD

References in corpus (66)

• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Hadronic Z- and tau-Decays in Order alpha_s^4
• Analytic Model for the QCD Running Coupling with Universal ${\bar{\alpha }}_s(0)$ Value
• Dispersive Approach to Power-Behaved Contributions in QCD Hard Processes
• QCD at Low Energies
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• Strong Coupling Constant with Flavour Thresholds at Four Loops in the MS-bar Scheme
• Branching ratios and spectral functions of tau decays: final ALEPH measurements and physics implications
• The Physics of Hadronic Tau Decays
• Resummation of $({\beta }_0{\alpha }_s{)}^n$ Corrections in QCD: Techniques and Applications to the $\tau$ Hadronic Width and the Heavy Quark Pole Mass
• Estimates of the higher-order QCD corrections to R(s), R_τ and deep-inelasstic scattering sum rules
• Non-perturbative comparison of QCD effective charges
• Vertex functions and infrared fixed point in Landau gauge SU(N) Yang-Mills theory
• alpha_s and the tau hadronic width: fixed-order, contour-improved and higher-order perturbation theory
• Renormalization group analysis of the tau-lepton decay within QCD
• The Determination of alpha_s from Tau Decays Revisited
• Optimization of R(e+e-) and "Freezing" of the QCD Couplant at Low Energies
• Scale Setting in QCD and the Momentum Flow in Feynman Diagrams
• On the running coupling constant in QCD
• Connections between Deep-Inelastic and Annihilation Processes at Next-to-Next-to-Leading Order and Beyond
• The Large Quark Mass Expansion of Gamma (Z^0 -> hadrons) and Gamma(tau^- -> nu_tau + hadrons) in the Order alpha_s^3
• Can the QCD running coupling have a causal analyticity structure?
• Analytic Perturbation Theory in analyzing some QCD observables
• 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
• Alpha_s(M_Z) from hadronic tau decays
• Bound state approach to the QCD coupling at low energy scales
• ${\alpha }_s$ from $\tau$ decays: contour-improved versus fixed-order summation in a new QCD perturbation expansion
• QCD Analytic Perturbation Theory. From integer powers to any power of the running coupling
• The Adler Function for Light Quarks in Analytic Perturbation Theory
• QCD Matching Conditions at Thresholds
• Experimental study of isovector spin sum rules
• The massive analytic invariant charge in QCD
• The check of QCD based on the tau-decay data analysis in the complex q^2-plane
• Perturbative Quark Mass Corrections to the Tau Hadronic Width
• Fractional Analytic Perturbation Theory in Minkowski space and application to Higgs boson decay into a b\bar{b} pair
• Various versions of analytic QCD and skeleton-motivated evaluation of observables
• QCD coupling below 1 GeV from quarkonium spectrum
• Bjorken Sum Rule and pQCD frontier on the move
• New analytic running coupling in spacelike and timelike regions
• Nucleon spin structure and pQCD frontier on the move
• An approach for evaluation of observables in analytic versions of QCD
• Infrared behavior of the running coupling constant and bound states in QCD
• Infrared enhanced analytic coupling and chiral symmetry breaking in QCD
• QCD Power Corrections from a Simple Model for the Running Coupling
• Renormalization Scheme and Higher Loop Stability in Hadronic $\tau$ Decay within Analytic Perturbation Theory
• A novel integral representation for the Adler function
• Perturbative expansions in QCD and analytic properties of alpha_s
• The Ellis-Jaffe Sum Rule: The Estimates of the Next-to-Next-to- Leading-Order QCD Corrections
• Renormalons at the boundaries between perturbative and non-perturbative QCD
• Renorm-group, Causality and Non-power Perturbation Expansion in QFT
• Modified Contour-Improved Perturbation Theory
• Simple analytic QCD model with perturbative QCD behavior at high momenta
• Analyticity properties of three-point functions in QCD beyond leading order
• Synthetic Running Coupling of QCD
• Running coupling constant and masses in QCD, the meson spectrum
• Analytic QCD coupling with no power terms in UV regime
• Infrared renormalons and the relations between the Gross-Llewellyn Smith and the Bjorken polarized and unpolarized sum rules
• Scale- and scheme-independent extension of Pade approximants; Bjorken polarized sum rule as an example
• Novel solutions of RG equations for alpha(s) and beta(alpha) in the large N_c limit
• Rational approximations in Analytic QCD
• Exponentially Modified QCD Coupling
• RG solutions for α_s at large N_c in d=3+1 QCD

Cited by in corpus (26)

• Analogs of noninteger powers in general analytic QCD
• Analytic and "frozen" QCD coupling constants up to NNLO from DIS data
• Extended analytic QCD model with perturbative QCD behavior at high momenta
• Nearly perturbative lattice-motivated QCD coupling with zero IR limit
• anQCD: a Mathematica package for calculations in general analytic QCD models
• Simple analytic QCD model with perturbative QCD behavior at high momenta
• QCD effective charge and the structure function $F_2$ at small-$x$
• Operator Product Expansion with analytic QCD in tau decay physics
• Calculation of binding energies and masses of quarkonia in analytic QCD models
• Hadronic vacuum polarization function within dispersive approach to QCD
• Electron-positron annihilation into hadrons at the higher-loop levels
• Techniques of evaluation of QCD low-energy physical quantities with running coupling with infrared fixed point
• How to perform QCD analysis of DIS in Analytic Perturbation Theory
• Applying generalized Padé approximants in analytic QCD models
• Lattice-motivated holomorphic nearly perturbative QCD
• Non-perturbative QCD effects in forward scattering at LHC
• Fractional Analytic QCD beyond Leading Order
• Fractional Analytic QCD beyond Leading Order in timelike region
• Explicit form of the R-ratio of electron-positron annihilation into hadrons
• Perturbative QCD in acceptable schemes with holomorphic coupling
• Inclusive tau lepton hadronic decay in vector and axial-vector channels within dispersive approach to QCD
• QCD effective charges and the structure function $F_2$ at small-$x$: Higher twist effects
• Dispersive approach to QCD and hadronic contributions to electroweak observables
• Evaluations of low-energy physical quantities in QCD with IR freezing of the coupling
• Nonperturbative gluon exchange in $pp$ elastic scattering at TeV energies
• pQCD running couplings finite and monotonic in the infrared: when do they reflect the holomorphic properties of spacelike observables?