Four-Loop Tadpoles: Applications in QCD

2006/07/12 by R. Boughezal, M. Czakon, T. Schutzmeier
Physics and Astronomy · #Current (fluid) #Differential equation #Function (biology) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Polarization (electrochemistry) #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #hep-ph

paper · pdf · doi:10.1016/j.nuclphysbps.2006.09.041

5 pages, 1 figure, to appear in the proceedings of the 8th DESY Workshop on Elementary Particle Theory, Loops and Legs in Quantum Field Theory, April 23-28, 2006, Eisenach, Germany

arxiv created 2006/07/12 · openalex publication_date 2006/10/01 · arxiv updated 2009/12/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05

Abstract

Recent applications of single-scale four-loop tadpoles are briefly reviewed. An algorithm for the evaluation of current correlators based on differential equations is described and applied to obtain high moments of the vacuum polarization function at O(alphas²) as a preparation of O(alphas³) calculations.

Citations

• Four-loop singlet contribution to the electroweak ρ parameter
• Precise prediction for theW-boson mass in the standard model
• High-precision ϵ-expansions of massive four-loop vacuum bubbles
• An automatized algorithm to compute infrared divergent multi-loop integrals
• High-precision epsilon expansions of single-mass-scale four-loop vacuum bubbles
• Pressure of hot QCD up tog6ln(1/g)
• The pseudothreshold expansion of the 2-loop sunrise selfmass master amplitudes