New Results in Four and Five Loop QED calculations

2008/07/10 by P.A. Baikov, P. A. Baikov, K.G. Chetyrkin +3 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/j.nuclphysbps.2008.09.074

published as Nucl.Phys.Proc.Suppl.183:8-13,2008 · Talk presented at 9th DESY Workshop on Elementary Particle Theory: Loops and Legs in Quantum Field Theory, Sondershausen, Germany, 20-25 April 2008

arxiv created 2008/07/10 · openalex publication_date 2008/10/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We report on two recent multiloop results in QED: (i) the four-loop corrections to the conversion relations between the QED charge renormalized in the on-shell and MS-bar schemes; (ii) analytical evaluation of a class of asymptotic contributions to the muon anomaly at five-loops.

Citations

• Extension of the functionality of the symbolic program FORM by external software
• New features of FORM
• Heavy-quark QCD vacuum polarisation function: analytical results at four loops
• Explicit solutions of the 3-loop vacuum integral recurrence relations

Cited by

• Analytical five-loop expressions for the renormalization group QED β-function in different renormalization schemes