The Cross Section of e^+ e^- Annihilation into Hadrons of Order alpha_s^4 n_f^2 in Perturbative QCD

Abstract

We present the first genuine QCD five-loop calculation of the vacuum polarization functions: analytical terms of order alpha_s^4 n_f^2 to the absorptive parts of vector and scalar correlators. These corrections form an important gauge-invariant subset of the full O(alpha_s^4) correction to $e^+ e^- annihilation into hadrons and the Higgs decay rate into hadrons respectively. They discriminate between different widely used estimates of the full result.

4 pages, revtex4 style

References in corpus (1)

• Application and explicit solution of recurrence relations with respect to space-time dimension

Cited by in corpus (32)

• The Muon g-2
• Hadronic Z- and tau-Decays in Order alpha_s^4
• Higgs production and decay: Analytic results at next-to-leading order QCD
• The Physics of Hadronic Tau Decays
• Scalar Correlator at O(alpha_s^4), Higgs Decay into b-quarks and Bounds on the Light Quark Masses
• Algebraic Relations Between Harmonic Sums and Associated Quantities
• Four Loop Massless Propagators: an Algebraic Evaluation of All Master Integrals
• Physics at the e+ e- Linear Collider
• Vector Correlator in Massless QCD at Order O(alpha_s^4) and the QED beta-function at five loop
• Rhad: A program for the evaluation of the hadronic R-ratio in the perturbative regime of QCD
• The running fine structure constant alpha(E) via the Adler function
• Large N flavor beta-functions: a recap
• Two-loop amplitudes with nested sums: Fermionic contributions to e+ e- --> q qbar g
• Generalization of the BLM procedure and its scales in any order of pQCD
• Study of Possible Ultraviolet Zero of the Beta Function in Gauge Theories with Many Fermions
• Solving Recurrence Relations for Multi-Loop Feynman Integrals
• The FORM project
• Towards Order alpha_s^4 Accuracy in tau-decays
• QCD sum rules and radial excitaions of light pseudoscalar and scalar mesons
• Analytical five-loop expressions for the renormalization group QED $\beta$-function in different renormalization schemes
• Calculation of Massless Feynman Integrals using Harmonic Sums
• Adler Function, DIS sum rules and Crewther Relations
• Bjorken unpolarized and polarized sum rules: comparative analysis of large-N_F expansions
• Determination of the strong coupling constant from the CLEO measurement of the total hadronic cross section in $e^{+}{e}^{-}$ annihilation below 10.56 GeV
• ALEPH Tau Spectral Functions and QCD
• ParFORM: recent development
• Five-loop vacuum polarization in pQCD: O(m_q^2α_s^4 n_f^2) contribution
• Estimating higher order perturbative coefficients using Borel transform
• Multiloop Calculations: towards R at Order alpha_s^4
• Disentangling perturbative and power corrections in precision tau decay analysis
• Transmutation of Scale Dependence into Truncation Uncertainty via RG-Improvement of the $R(s)$ Series
• Multi-Loop Results, Charm- and Bottom-Quark Masses and the Strong Coupling Constant