Dispersive approach to QCD and inclusive tau lepton hadronic decay

Abstract

The dispersive approach to QCD is applied to the study of the inclusive tau lepton hadronic decay. This approach provides the unified integral representations for the hadronic vacuum polarization function, related R function, and Adler function. These representations account for the intrinsically nonperturbative constraints, which originate in the kinematic restrictions on the functions on hand, and retain the effects due to hadronization, which play a valuable role in the analysis of the strong interaction processes at low energies. The dispersive approach proves to be capable of describing recently updated ALEPH and OPAL experimental data on inclusive tau lepton hadronic decay in vector and axial-vector channels. The vicinity of values of the QCD scale parameter obtained in both channels testifies to the potential ability of the developed approach to describe the aforementioned data in a self-consistent way.

18 pages, 6 figures, 2 tables

References in corpus (26)

• Hadronic Z- and tau-Decays in Order alpha_s^4
• Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory
• The Determination of alpha_s from Tau Decays Revisited
• On the running coupling constant in QCD
• Ten years of the Analytic Perturbation Theory in QCD
• Analytic Invariant Charge in QCD
• Calculating the hadronic vacuum polarization and leading hadronic contribution to the muon anomalous magnetic moment with improved staggered quarks
• 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
• Bjorken Sum Rule and pQCD frontier on the move
• Infrared enhanced analytic coupling and chiral symmetry breaking in QCD
• Extended analytic QCD model with perturbative QCD behavior at high momenta
• Pion pole light-by-light contribution to g-2 of the muon in a nonlocal chiral quark model
• FAPT: a Mathematica package for calculations in QCD Fractional Analytic Perturbation Theory
• QCD sum rules with nonlocal condensates and the spacelike pion form factor
• QCDMAPT_F: Fortran version of QCDMAPT package
• SVZ sum rules : 30 + 1 years later
• On the low-energy behavior of the Adler function
• Nonperturbative aspects of the QCD analytic invariant charge
• Pion form factor analysis using NLO analytic perturbation theory
• Hadronic effects in low-energy QCD: inclusive tau lepton decay
• The QCD analytic running coupling and chiral symmetry breaking
• The QCD analytic effective charge and its dependence on the pion mass
• Extracting infrared QCD coupling from meson spectrum

Cited by in corpus (25)

• Nearly perturbative lattice-motivated QCD coupling with zero IR limit
• Bjorken polarized sum rule and infrared-safe QCD couplings
• anQCD: a Mathematica package for calculations in general analytic QCD models
• Hadronic vacuum polarization function within dispersive approach to QCD
• Precision physics with inclusive QCD processes
• Renormalon-motivated evaluation of QCD observables
• Electron-positron annihilation into hadrons at the higher-loop levels
• Gluon Propagator in Fractional Analytic Perturbation Theory
• Techniques of evaluation of QCD low-energy physical quantities with running coupling with infrared fixed point
• Lattice-motivated holomorphic nearly perturbative QCD
• Lattice-motivated QCD coupling and hadronic contribution to muon $g-2$
• 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
• Dispersive approach to QCD: tau lepton hadronic decay in vector and axial-vector channels
• Infrared-suppressed QCD coupling and the hadronic contribution to muon g-2
• Evaluation of neutrinoless double beta decay: QCD running to sub-GeV scales
• UV contribution and power dependence on ${\Lambda }_{\mathrm{QCD}}$ of Adler function
• Dispersive approach to QCD and hadronic contributions to electroweak observables
• Evaluations of low-energy physical quantities in QCD with IR freezing of the coupling
• Hadronic contributions to electroweak observables within DPT
• pQCD running couplings finite and monotonic in the infrared: when do they reflect the holomorphic properties of spacelike observables?
• Effects of the quark flavour thresholds in the hadronic vacuum polarization contributions to the muon anomalous magnetic moment
• R-ratio of electron-positron annihilation into hadrons: higher-order pi2-terms
• Window quantities for the hadronic vacuum polarization contributions to the muon anomalous magnetic moment in spacelike and timelike domains