Fractional analytic perturbation theory in Minkowski space and applicationto Higgs boson decay into abb¯pair

2006/07/31 by A. P. Bakulev, С. В. Михайлов, S. V. Mikhailov +1 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Boson #Higgs boson #Massless particle #Mathematical physics #Minkowski space #Particle physics #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #hep-ph

paper · pdf · doi:10.1103/physrevd.75.056005

published as Phys.Rev.D75:056005,2007; Erratum-ibid.D77:079901,2008 · v2:29 pages, 1 Table, 8 figures embedded as eps files, corrected minor typos. v3: 34 pages, 1 Table added, Figure 7 changed; considerably expanded and revised. Matches version accepted for publication in Phys. Rev. D; v4 some typos in the text and in Eq. (4.22) corrected, as in the publication; DOI supplied. v5: incorporates Erratum

openalex publication_date 2007/03/23 · arxiv created 2008/03/07 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We work out and discuss the Minkowski version of fractional analytic perturbationtheory for QCD observables, recently developed and presented by us for theEuclidean region. The original analytic approach to QCD, initiated by Shirkovand Solovtsov, is summarized and relations to other proposals to achieve ananalytic strong coupling are pointed out. The developed framework is appliedto the Higgs boson decay into a bb pair, usingrecent results for the massless correlator of two quark scalar currents inthe MS scheme.We present calculations for the decay width within the Minkowski version offractional analytic perturbation theory including those non-power-series contributionsthat correspond to the O(\ensuremathα_s³)-terms, alsotaking into account evolution effects of the running coupling and the b-quark-massrenormalization. Comparisons with previous results within standard QCD perturbationtheory are performed and the differences are pointed out. The interplay betweeneffects originating from the analyticity requirement and the analytic continuationfrom the spacelike to the timelike region and those due to the evolution ofthe heavy-quark mass is addressed, highlighting the differences from the conventionalQCD perturbation theory.

Citations

• Analytic Model for the QCD Running Coupling with Universalα¯s(0)Value
• Analytic perturbation theory in QCD and Schwinger’s connection between theβfunction and the spectral density
• Resummation of (ß0αs)n corrections in QCD: techniques and applications to the τ hadronic width and the heavy quark pole mass
• Spectral moments of two-point correlators in perturbation theory and beyond
• The analytic approach in quantum chromodynamics
• ANALYTIC INVARIANT CHARGE IN QCD
• Analytic perturbation theory and inclusive τ decay
• Massive analytic invariant charge in QCD
• On the LambertW function
• Complete next-to-leading order perturbative QCD prediction for the pion electromagnetic form factor
• Dynamical mass generation in continuum quantum chromodynamics
• Analytic perturbation theory: A new approach to the analytic continuation of the strong coupling constantαSinto the timelike region

Cited by

• Perturbative QCD in acceptable schemes with holomorphic coupling
• Techniques of evaluation of QCD low-energy physical quantities with running coupling with infrared fixed point