Testing non-perturbative strong interaction effects via the Adler function

Abstract

Based on the compilation of the available e^+e^- data, we present a non-perturbative estimation of the Adler function derived from the electromagnetic current correlator, and compare it with theoretical predictions from perturbative QCD (pQCD). The comparison is presented for the Euclidean region where pQCD is supposed to work best. We emphasize that such a comparison only makes sense if one takes into account the exact mass dependence of the perturbative predictions, which are available for the leading and next to leading (two-loop) order. In order to have the correct physical mass dependence in the evolution of the strong coupling as well, we utilize the MOM scheme beta-function to two-loops calculated recently. Three-loop effects, which are available as series expansions for low and high momentum transfer, are included by using Pade improvement. We discuss possible constraints on non-perturbative effects as suggested by the operator product expansion.

14 pages, 5 figures

Cited by in corpus (60)

• The anomalous magnetic moment of the muon in the Standard Model
• The Muon g-2
• Baryons as relativistic three-quark bound states
• Lattice calculation of the pion transition form factor with $N_f=2+1$ Wilson quarks
• Quest for precision in hadronic cross sections at low energy: Monte Carlo tools vs. experimental data
• Physics with the KLOE-2 experiment at the upgraded DA$\varphi$NE
• A new approach to evaluate the leading hadronic corrections to the muon g-2
• The anomalous magnetic moment of the muon in the Standard Model: an update
• Ten years of the Analytic Perturbation Theory in QCD
• Twenty-first Century Lattice Gauge Theory: Results from the QCD Lagrangian
• Analytic Approach in Quantum Chromodynamics
• Hadronic Contributions to the Photon Vacuum Polarization and their Role in Precision Physics
• Precision measurements of sigma_hadronic for alpha_eff(E) at ILC energies and (g-2)_mu
• The Adler Function for Light Quarks in Analytic Perturbation Theory
• Various versions of analytic QCD and skeleton-motivated evaluation of observables
• The running fine structure constant alpha(E) via the Adler function
• Weak Mixing Angle in the Thomson Limit
• Vacuum Polarisation and Hadronic Contribution to muon g-2 from Lattice QCD
• The hadronic running of the electromagnetic coupling and the electroweak mixing angle from lattice QCD
• An approach for evaluation of observables in analytic versions of QCD
• Infrared behavior of the running coupling constant and bound states in QCD
• The Path to $0.01\%$ Theoretical Luminosity Precision for the FCC-ee
• A novel integral representation for the Adler function
• Nearly perturbative lattice-motivated QCD coupling with zero IR limit
• Measurement of the running of the QED coupling in small-angle Bhabha scattering at LEP
• All-orders infrared freezing of observables in perturbative QCD
• A new determination of the QED coupling alpha(M_Z^2) lets the Higgs off the hook
• Modified Contour-Improved Perturbation Theory
• Leading-order calculation of hadronic contributions to the muon $g-2$ using the Dyson-Schwinger approach
• Theoretical precision in estimates of the hadronic contributions to (g-2)_mu and alpha_QED(M_Z)
• Hadronic vacuum polarization function within dispersive approach to QCD
• The role of sigma(e+e- -> hadrons) in precision tests of the Standard Model
• An analytic method of describing $R$-related quantities in QCD
• The Adler $D$-function for $\mathcal{N}=1$ SQCD regularized by higher covariant derivatives in the three-loop approximation
• Measurement of the Running of the Fine-Structure Constant
• Testing the Concept of Quark-Hadron Duality with the ALEPH $\tau$ Decay Data
• N^3LO fits to xF_3 data : ${\alpha }_s$ vs 1/Q^2 contributions
• Peculiar features of the relations between pole and running heavy quark masses and estimates of the O(α_s^4) contributions
• Renormalization scheme and gauge (in)dependence of the generalized Crewther relation: what are the real grounds of the $\beta$-factorization property?
• Lattice-motivated holomorphic nearly perturbative QCD
• Neutrino masses and magnetic moments of electron and muon in the Zee Model
• Determination of perturbative QCD coupling from ALEPH $\tau$ decay data using pinched Borel-Laplace and Finite Energy Sum Rules
• Infrared Freezing of Euclidean QCD observables
• Adler function and Bjorken polarized sum rule: Perturbation expansions in powers of $SU(N_c)$ conformal anomaly and studies of the conformal symmetry limit
• The three-loop Adler $D$-function for $\mathcal{N}=1$ SQCD regularized by dimensional reduction
• Borel-Laplace Sum Rules with $\tau$ decay data, using OPE with improved anomalous dimensions
• Resurgence of the QCD Adler function
• Lattice-motivated QCD coupling and hadronic contribution to muon $g-2$
• Dispersive approach to QCD: tau lepton hadronic decay in vector and axial-vector channels
• Inclusive tau lepton hadronic decay in vector and axial-vector channels within dispersive approach to QCD
• Using improved Operator Product Expansion in Borel-Laplace Sum Rules with ALEPH $\tau$ decay data, and determination of pQCD coupling
• The Vacuum Polarization: Power Corrections beyond OPE ?
• Structure functions of 2d integrable asymptotically free models
• Dispersive approach to QCD and hadronic contributions to electroweak observables
• Hadronic contributions to electroweak observables within DPT
• The R ratio in e+ e-, the determination of alpha(Mz^2) and a possible non-perturbative gluonic contribution
• Hadronic contribution to the muon g-2: a Dyson-Schwinger perspective
• The decomposed photon anomalous dimension in QCD and the $\{\beta \}$-expanded representations for the Adler function
• Running of the Electroweak Gauge Couplings from First Principles
• Precision lattice calculation of the hadronic contribution to the running of the electroweak gauge couplings