Normalization Constants of Large Order Behavior

Abstract

A perturbation scheme is discussed for the computation of the normalization constant of the large order behavior arising from an ultraviolet renormalon. In this scheme the normalization constant is expressed in a convergent series that can be calculated using the ordinary perturbative expansion and the nature of the renormalon singularity.

8 pages. To appear in Phys. Lett. B

Cited by in corpus (31)

• QCD phenomenology of static sources and gluonic excitations at short distances
• Infrared Renormalization Group Flow for Heavy Quark Masses
• Inclusive spectra in charmless semileptonic B decays by Dressed Gluon Exponentiation
• The static potential: lattice versus perturbation theory in a renormalon-based approach
• The QCD static energy at NNNLL
• The bottom quark mass from the ${\rm Y}(1S)$ system at NNNLO
• Perturbative expansion of the energy of static sources at large orders in four-dimensional SU(3) gauge theory
• Bilocal expansion of the Borel amplitude and the hadronic tau decay width
• Surviving the renormalon in heavy quark potential
• Static QCD Potential at r < 1/Lambda_QCD: Perturbative expansion and operator-product expansion
• Calculation of binding energies and masses of quarkonia in analytic QCD models
• Reconciling the Contour-Improved and Fixed-Order Approaches for $\tau$ Hadronic Spectral Moments II: Renormalon Norm and Application in ${\alpha }_s$ Determinations
• Resummation of the hadronic tau decay width with the modified Borel transform method
• Taming the B --> X(s) gamma spectrum by Dressed Gluon Exponentiation
• Fit to the Bjorken, Ellis-Jaffe and Gross-Llewellyn-Smith sum rules in a renormalon based approach
• Review on the determination of alpha_s from the QCD static energy
• A discussion on leading renormalon in the pole mass
• Asymptotics of the perturbative series for f_{B^*}/f_B
• Calculations of binding energies and masses of heavy quarkonia using renormalon cancellation
• Extraction of alpha_s from the Gross--Llewellyn Smith sum rule using Borel resummation
• Estimate of the three-loop contribution to the QCD static potential from renormalon cancellation
• Nonperturbative Effects from the Resummation of Perturbation Theory
• Estimating higher order perturbative coefficients using Borel transform
• Renormalon subtraction in OPE using Fourier transform: Formulation and application to various observables
• Heavy quark mass determination from the quarkonium ground state energy: a pole mass approach
• Estimation of the large order behavior of the plaquette
• Direct resummation of the leading renormalons in inclusive semileptonic B decay
• Constraining renormalon effects in lattice determination of heavy quark mass
• Flavor dependence of normalization constant for an infrared renormalon
• Renormalon subtraction using Fourier transform: Analyses of simplified models
• Borel resummation with low order perturbations in QCD