Automatic reduction of four-loop bubbles

DOI10.1016/S0920-5632(03)80208-6zbMath1030.81524arXivhep-ph/0211288MaRDI QIDQ1566295

York Schröder

Publication date: 1 June 2003

Published in: Nuclear Physics. B. Proceedings Supplements (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-ph/0211288

zbMATH Keywords

master integralsfour-loop QCD free energy

Mathematics Subject Classification ID

Nuclear physics (81V35) Yang-Mills and other gauge theories in quantum field theory (81T13) Strong interaction, including quantum chromodynamics (81V05)

Related Items

TWO-LOOP VACUUM DIAGRAMS IN BACKGROUND FIELD AND THE HEISENBERG–EULER EFFECTIVE ACTION ⋮ The four-loop QCD \(\beta\)-function and anomalous dimensions ⋮ Four-loop renormalization of QCD: full set of renormalization constants and anomalous dimensions ⋮ About higher order \(\varepsilon\)-expansion of some massive two- and three-loop master-integrals ⋮ The third-order QCD corrections to deep-inelastic scattering by photon exchange ⋮ Complete renormalization of QCD at five loops ⋮ Four loop massless propagators: an algebraic evaluation of all master integrals ⋮ FMFT: fully massive four-loop tadpoles ⋮ Four-loop renormalization of QCD with a reducible fermion representation of the gauge group: anomalous dimensions and renormalization constants ⋮ Laurent series expansion of sunrise-type diagrams using configuration space techniques

Cites Work

• Three-loop vacuum integrals in FORM and REDUCE
• HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS
• Connection between Feynman integrals having different values of the space-time dimension