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.

arXiv comment30 pages, 9 figures. arXiv admin note: substantial text overlap with arXiv:2203.09307

References in corpus (73)

• New CTEQ global analysis of quantum chromodynamics with high-precision data from the LHC
• FLAG Review 2021
• Five-Loop Running of the QCD coupling constant
• Parton distributions from LHC, HERA, Tevatron and fixed target data: MSHT20 PDFs
• Analytic Model for the QCD Running Coupling with Universal ${\bar{\alpha }}_s(0)$ Value
• Parton Distribution Functions, ${\alpha }_s$ and Heavy-Quark Masses for LHC Run II
• Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang-Mills model
• Quark Mass Anomalous Dimension to alpha_s**4
• The five-loop beta function of Yang-Mills theory with fermions
• Observation of Higgs boson decay to bottom quarks
• NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories
• QCD Decoupling at Four Loops
• Observation of $H\to b\bar{b}$ decays and $VH$ production with the ATLAS detector
• Four-Loop Decoupling Relations for the Strong Coupling
• Scalar Correlator at O(alpha_s^4), Higgs Decay into b-quarks and Bounds on the Light Quark Masses
• Correlator of the quark scalar currents and Γ_{tot}(H --> hadrons) at O(α_s^3) in pQCD
• A Systematic All-Orders Method to Eliminate Renormalization-Scale and Scheme Ambiguities in PQCD
• Systematic Scale-Setting to All Orders: The Principle of Maximum Conformality and Commensurate Scale Relations
• The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge
• Delineating parton distributions and the strong coupling
• Eliminating the Renormalization Scale Ambiguity for Top-Pair Production Using the Principle of Maximum Conformality
• Scale Setting Using the Extended Renormalization Group and the Principle of Maximum Conformality: the QCD Coupling Constant at Four Loops
• Setting the Renormalization Scale in QCD: The Principle of Maximum Conformality
• Strong-Coupling Constant with Flavor Thresholds at Five Loops in the MS-bar Scheme
• Analytic Perturbation Theory in analyzing some QCD observables
• Five-loop renormalisation of QCD in covariant gauges
• Higher twists and ${\alpha }_s(M_Z)$ extractions from the NNLO QCD analysis of the CCFR data for $x{F}_3$ structure function
• Next-to-next-to-leading order QCD analysis of the revised CCFR data for xF_3 structure function and the higher twist contributions
• Analytic Invariant Charge in QCD
• Analytic Perturbation Theory and Inclusive Tau Decay
• QCD Analytic Perturbation Theory. From integer powers to any power of the running coupling
• Form Factors and QCD in Spacelike and Timelike Region
• The massive analytic invariant charge in QCD
• Fractional Analytic Perturbation Theory in Minkowski space and application to Higgs boson decay into a b\bar{b} pair
• Various versions of analytic QCD and skeleton-motivated evaluation of observables
• Higher-order QCD perturbation theory in different schemes: From FOPT to CIPT to FAPT
• Bjorken Sum Rule and pQCD frontier on the move
• Global Fractional Analytic Perturbation Theory in QCD with Selected Applications
• Nucleon spin structure and pQCD frontier on the move
• Four-loop QCD analysis of the Bjorken sum rule vs data
• An approach for evaluation of observables in analytic versions of QCD
• Taming Landau singularities in QCD perturbation theory: The analytic approach 2.0
• Analogs of noninteger powers in general analytic QCD
• Renormalons and multiloop estimates in scalar correlators, Higgs decay and quark-mass sum rules
• Analytic and "frozen" QCD coupling constants up to NNLO from DIS data
• Extended analytic QCD model with perturbative QCD behavior at high momenta
• Next-to-next-to-leading order QCD analysis of the CCFR data for xF_3 and F_2 structure functions of the deep-inelastic neutrino-nucleon scattering
• Analyticity and power corrections in hard-scattering hadronic functions
• FAPT: a Mathematica package for calculations in QCD Fractional Analytic Perturbation Theory
• Bjorken polarized sum rule and infrared-safe QCD couplings
• Next-to-Next-to-Leading Order QCD Analysis of DIS Structure Functions
• Nearly perturbative lattice-motivated QCD coupling with zero IR limit
• Reconciling the analytic QCD with the ITEP operator product expansion philosophy
• QCDMAPT: program package for Analytic approach to QCD
• anQCD: a Mathematica package for calculations in general analytic QCD models
• Sum Rules and Moments of the Nucleon Spin Structure Functions
• QCD coupling constant at NNLO from DIS data
• The Higgs boson inclusive decay channels $H\to b\bar{b}$ and $H\to gg$ up to four-loop level
• Electron-positron annihilation into hadrons at the higher-loop levels
• QCD analysis of the CCFR data for $x{F}_3$ and Higher--Twist Contribution
• Bjorken sum rule in QCD frameworks with analytic (holomorphic) coupling
• The QCD analysis of the combined set for the F_3 structure function data based on the analytic approach
• On DIS Wilson coefficients in N = 4 super Yang-Mills theory
• Lattice-motivated holomorphic nearly perturbative QCD
• Fractional Analytic QCD beyond Leading Order
• Improved nonsinglet QCD analysis of the fixed-target DIS data
• Extending the application of the LCSR method to low momenta using QCD renormalization-group summation. Theory and phenomenology
• Lattice-motivated QCD coupling and hadronic contribution to muon $g-2$
• Bjorken sum rule in QCD with analytic coupling
• Calculation of the pion-photon transition form factor using dispersion relations and renormalization-group summation
• Higgs Decay, Z Decay and the QCD Beta-Function
• On applications of Mathematica Package "FAPT" in QCD
• alpha_s in DIS scheme

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