Software packages alphaQED and pQCDAdler by F. Jegerlehner


The alphaQED package: new update June 17, 2026

ammbook  Fortran package alphaQED instruction: "alphaQED26.pdf"    see also: Update on the Lepton Moments aμ and ae end 2024 and:
QED, eff (s) for precision physics at the FCC-ee/ILC" Invited Talk, 11th FCC-ee workshop: Theory and Experiments, 8-11 January 2019, CERN Geneva.
Proceeding   published in   CERN Yellow Reports: Monographs Vol. 3 2020 [ arXiv:1905.05078]

  hadr5x26.f  [Standalone version of Δ αQEDhad(s): updated June 2026] see also the test routine testhadr5x.f 
New hadr5x26_complex.f  [Complex version of Δ αQEDhad(s): setup October 2025, updated June 2026] see also the test routine testchadr5x.f 
adlerhadr5x26.f  [Standalone version for Adler function: updated June 2026] see also the test routine testadlerhadr5x.f 
hadr5x19.f  [Previous version of Δ αQEDhad(s): updated December 2019] (for calculation of the hadronic contribution to αQED, eff (s) and α2, eff (s) )
alphaQEDc26.tar.gz  (for the effective fine structure constant α, the weak coupling α2 and sin2Θeff (s) );  
(provides also covariance matrix and intRdatx.f routine for integrating data with various kernels)
alphaSMsimple.tar.gz  (easy to use program to calculate the complex versions of the effective fine structure constant α, the weak coupling α2);  


pQCDAdler: last update July 4, 2024; new june 2026: now part of alphaQEDc26 (subdir adler).
After applying the ρ-γ mixing correction to the I=1 part of the e+e- data, we obtain an agreement between the experimental Adler function and pQCD that we had never had before.

ammbook  "Fortran package pQCDAdler instructions: "pQCDAdler.pdf      qQCDAdlerplot2026 
  pQCDAdler.tar.gz  providing experimental data and routines for pQCD predictions. ammbook 


F. Jegerlehner fjeger@physik.hu-berlin.de

Last modified: Mon Jul 20 16:11:03 CEST 2026