Estimating higher order perturbative coefficients using Borel transform

Abstract

A new method of estimating higher order perturbative coefficients is discussed. It exploits the rapid, asymptotic growth of perturbative coefficients and the information on the singularities in the complex Borel plane. A comparison with other methods is made in several Quantum Chromodynamics (QCD) expansions.

9 pages, version to appear in PLB

References in corpus (4)

• Determination of the bottom quark mass from the ${\rm Y}(1S)$ system
• The Cross Section of e^+ e^- Annihilation into Hadrons of Order alpha_s^4 n_f^2 in Perturbative QCD
• Extraction of alpha_s from the Gross--Llewellyn Smith sum rule using Borel resummation
• Nonperturbative Effects from the Resummation of Perturbation Theory

Cited by in corpus (7)

• Rhad: A program for the evaluation of the hadronic R-ratio in the perturbative regime of QCD
• Conformal mapping of the Borel plane: going beyond perturbative QCD
• Estimate of the three-loop contribution to the QCD static potential from renormalon cancellation
• Heavy quark mass determination from the quarkonium ground state energy: a pole mass approach
• Direct resummation of the leading renormalons in inclusive semileptonic B decay
• Conformal mappings in perturbative QCD
• Determination of ${\alpha }_s$ from Gross-Llewellyn Smith sum rule by accounting for infrared renormalon