Fractional Analytic QCD beyond Leading Order in timelike region

Abstract

In this paper we show that, as in the spacelike case, the inverse logarithmic expansion is applicable for all values of the argument of the analytic coupling constant. We present two different approaches, one of which is based primarily on trigonometric functions, and the latter is based on dispersion integrals. The results obtained up to the 5th order of perturbation theory, have a compact form and their acquiring is much easier than the methods that have been used before. As an example, we apply our results to study the Higgs boson decay into a bb pair.

30 pages, 9 figures. arXiv admin note: substantial text overlap with arXiv:2203.09307

References in corpus (16)

• The five-loop beta function of Yang-Mills theory with fermions
• The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge
• Eliminating the Renormalization Scale Ambiguity for Top-Pair Production Using the Principle of Maximum Conformality
• Strong-Coupling Constant with Flavor Thresholds at Five Loops in the MS-bar Scheme
• Five-loop renormalisation of QCD in covariant gauges
• Analytic Invariant Charge in QCD
• The massive analytic invariant charge in QCD
• Higher-order QCD perturbation theory in different schemes: From FOPT to CIPT to FAPT
• Bjorken Sum Rule and pQCD frontier on the move
• Extended analytic QCD model with perturbative QCD behavior at high momenta
• FAPT: a Mathematica package for calculations in QCD Fractional Analytic Perturbation Theory
• Reconciling the analytic QCD with the ITEP operator product expansion philosophy
• anQCD: a Mathematica package for calculations in general analytic QCD models
• Electron-positron annihilation into hadrons at the higher-loop levels
• The QCD analysis of the combined set for the F_3 structure function data based on the analytic approach
• alpha_s in DIS scheme