Estimations of Order alpha_s^3 and alpha_s^4 Corrections to Mass-Dependent Observables

Abstract

A simple procedure to estimate O(alpha_s^3) and O(alpha_s^4) corrections to mass-dependent observables is conjectured. The method is tested in a number of cases where the O(alpha_s^3) contribution is exactly known, and reasonable agreement is found.

10 pages (Latex)

Cited by in corpus (38)

• Decoupling Relations to O(alpha_s^3) and their Connection to Low-Energy Theorems
• Strong Coupling Constant with Flavour Thresholds at Four Loops in the MS-bar Scheme
• The relation between the $\overline{\mathrm{MS}}$ and the on-shell quark mass at order ${\alpha }_s^3$
• Quark mass relations to four-loop order
• Scalar Correlator at O(alpha_s^4), Higgs Decay into b-quarks and Bounds on the Light Quark Masses
• Short Distance Mass of a Heavy Quark at Order α_s^3
• Strong-Coupling Constant with Flavor Thresholds at Five Loops in the MS-bar Scheme
• Results and Techniques of Multi-Loop Calculations
• Effective QCD Interactions of CP-odd Higgs Bosons at Three Loops
• Fractional Analytic Perturbation Theory in Minkowski space and application to Higgs boson decay into a b\bar{b} pair
• Higher-order QCD perturbation theory in different schemes: From FOPT to CIPT to FAPT
• Global Fractional Analytic Perturbation Theory in QCD with Selected Applications
• Taming Landau singularities in QCD perturbation theory: The analytic approach 2.0
• Analogs of noninteger powers in general analytic QCD
• Generalization of the BLM procedure and its scales in any order of pQCD
• Renormalons and multiloop estimates in scalar correlators, Higgs decay and quark-mass sum rules
• Bilocal expansion of the Borel amplitude and the hadronic tau decay width
• The Cross Section of e^+ e^- Annihilation into Hadrons of Order alpha_s^4 n_f^2 in Perturbative QCD
• The MSR Mass and the $\mathcal{O}({\Lambda }_{\mathrm{QCD}})$ Renormalon Sum Rule
• Towards Order alpha_s^4 Accuracy in tau-decays
• Problems With Extracting $m_s$ from Flavor Breaking in Hadronic $\tau$ Decays
• Calculation of binding energies and masses of quarkonia in analytic QCD models
• Top-quark pole mass in the tadpole-free MS-bar scheme
• Peculiar features of the relations between pole and running heavy quark masses and estimates of the O(α_s^4) contributions
• Towards a physical expansion in perturbative gauge theories by using improved Baker-Gammel approximants
• Scale- and scheme-independent extension of Pade approximants; Bjorken polarized sum rule as an example
• Isospin Breaking and the Extraction of $m_s$ from the $\tau$-Decay-Like Vector Current Sum Rule
• Bjorken unpolarized and polarized sum rules: comparative analysis of large-N_F expansions
• Scale-Independent Calculation of ${\sin }^2{\theta }_{eff}^{lept}$
• Optimal renormalization and the extraction of the strange quark mass from moments of the $\tau$-decay spectral function
• Dependence of five and six-loop estimated QCD corrections to the relation between pole and running masses of heavy quarks on the number of light flavours
• Five-loop vacuum polarization in pQCD: O(m_q^2α_s^4 n_f^2) contribution
• Global approximants with renormalization scale invariance in pQCD
• Estimating higher order perturbative coefficients using Borel transform
• Multiloop Calculations: towards R at Order alpha_s^4
• Resummation Approach in QCD Analytic Perturbation Theory
• On the relation between pole and running heavy quark masses beyond the four-loop approximation
• Higgs boson decay into heavy quarks and heavy leptons: higher order corrections