The running fine structure constant alpha(E) via the Adler function

Abstract

We present an up-to-date analysis for a precise determination of the effective fine structure constant and discuss the prospects for future improvements. We advocate to use a determination monitored by the Adler function which allows us to exploit perturbative QCD in an optimal well controlled way. Together with a long term program of hadronic cross section measurements at energies up to a few GeV, a determination of alpha(M_Z) at a precision comparable to the one of the Z mass M_Z should be feasible. Presently alpha(E) at E>1 GeV is the least precisely known of the fundamental parameters of the SM. Since, in spite of substantial progress due to new BaBar exclusive data, the region 1.4 to 2.4 GeV remains the most problematic one a major step in the reduction of the uncertainties are expected from VEPP-2000 and from a possible ``high-energy'' option DAFNE-2 at Frascati. The up-to-date evaluation reads Delta alpha^{(5)}_{had}(M_Z^2) = 0.027515 +/- 0.000149 or alpha^{-1}(M_Z)=128.957 +/- 0.020.

7 pages, 6 figures

References in corpus (20)

• Hadronic Z- and tau-Decays in Order alpha_s^4
• Hadronic contributions to $(g-2)$ of the leptons and to the effective fine structure constant $\alpha (M_Z^2)$
• Three-Loop Polarization Function and $\mathcal{O}({\alpha }_s^2)$ Corrections to the Production of Heavy Quarks
• Measurements of e+e- -> K+K-eta, K+K-pi0 and KsK+pi- Cross Sections Using Initial State Radiation Events
• Heavy Quark Masses from Sum Rules in Four-Loop Approximation
• The $e^{+}{e}^{-}\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$, $K^{+}{K}^{-}{\pi }^0{\pi }^0$ and $K^{+}{K}^{-}{K}^{+}{K}^{-}$ Cross Sections Measured with Initial-State Radiation
• Charm and Bottom Quark Masses from Perturbative QCD
• Ten years of the Analytic Perturbation Theory in QCD
• Testing non-perturbative strong interaction effects via the Adler function
• Precision measurements of sigma_hadronic for alpha_eff(E) at ILC energies and (g-2)_mu
• Mass Corrections to the Vector Current Correlator
• A precise determination of the charm quark's mass in quenched QCD
• Heavy quark masses in the continuum limit of quenched Lattice QCD
• The Cross Section of e^+ e^- Annihilation into Hadrons of Order alpha_s^4 n_f^2 in Perturbative QCD
• Adler function and hadronic contribution to the muon g-2 in a nonlocal chiral quark model
• Heavy Quark Effective Theory computation of the mass of the bottom quark
• Exact mass dependent two--loop ${\bar{\alpha }}_s(Q^2)$ in the background MOM renormalization scheme
• The Effective Fine Structure Constant at TESLA Energies
• Hadronic Vacuum Polarization Contribution to g-2 of the Leptons and alpha(M_Z)
• Prospects for e+e- physics at Frascati between the phi and the psi

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