91 citations · 324 across the 10 of their papers we have counts for
10 papers
Asymptotic Pade Approximant Predictions: up to Five Loops in QCD and SQCD
J. Ellis, I. Jack, D. R. T. Jones +2
We use Asymptotic Pade Approximants (APAP's) to predict the four- and five-loop β-functions in QCD and N=1 supersymmetric QCD (SQCD), as well as the quark mass anomalous dimensions…
Pade Approximants, Optimal Renormalization Scales, and Momentum Flow in Feynman Diagrams
Stanley J. Brodsky, John Ellis, Einan Gardi +2
We show that the Pade Approximant (PA) approach for resummation of perturbative series in QCD provides a systematic method for approximating the flow of momentum in Feynman diagram…
Finding the Radiation Amplitude Zero in W\GAMMA Production- is it Unique to the Standard Model?
Mark A Samuel, TESFAYE Abraha
In the light of recent experimental observation of the radiation amplitude zero (RAZ) in Wγproduction by CDF at Fermilab, we consider its consequences. is the RAZ unique to the sta…
Asymptotic Padé Approximants and the SQCD -function
I. Jack, D. R. T. Jones, M. A. Samuel
We present a prediction for the four loop -function for SQCD based on the method of Asymptotic Padé Approximants.
A Prediction for the 4-Loop βFunction
John Ellis, Marek Karliner, Mark. A. Samuel
We predict that the four-loop contribution β_3 to the QCD βfunction in the MS-bar prescription is given by β_3\simeq 23,600(900) - 6,400(200) N_f + 350(70) N_f^2 + 1.5 N_f^3, where…
Application of Pade Approximants to Determination of alpha_s(M_Z^2) from Hadronic Event Shape Observables in e+e- Annihilation
P. N. Burrows, T. Abraha, M. Samuel +2
We have applied Pade approximants to perturbative QCD calculations of event shape observables in e+e- --> hadrons. We used the exact O(alpha_s^2) prediction and the [0/1] Pade appr…
Pade Approximants, Borel Transforms and Renormalons: the Bjorken Sum Rule as a Case Study
John Ellis, Einan Gardi, Marek Karliner +1
We prove that Pade approximants yield increasingly accurate predictions of higher-order coefficients in QCD perturbation series whose high-order behaviour is governed by a renormal…
Perturbative QCD Calculations of Total Cross Sections and Decay Widths in Hard Inclusive Processes
Levan R. Surguladze, Mark A. Samuel
A summary of the current understanding of methods of analytical higher order perturbative computations of total cross sections and decay widths in Quantum Chromodynamics is present…
The Anomalous Magnetic Moments of the Electron and the Muon - Improved QED Predictions Using Pade Approximants
John Ellis, Marek Karliner, Mark A. Samuel +1
We use Pade Approximants to obtain improved predictions for the anomalous magnetic moments of the electron and the muon. These are needed because of the very precise experimental v…
Zeroing in on more photons and gluons
R. W. Brown, M. E. Convery, M. A. Samuel
We discuss radiation zeros that are found in gauge tree amplitudes for processes involving multi-photon emission. Previous results are clarified by examples and by further elaborat…