The property of maximal transcendentality: calculation of master integrals

Abstract

We review the results having the property of maximal transcendentality.

12 pages, 3 figures, talk given at the IV International Conference "Models in Quantum Field Theory" (MQFT-2012), September 24-27, 2012, V.A. Fock Physical Research Institute, Petergof, Russia

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• The Three-Loop Splitting Functions $P_{qg}^{(2)}$ and $P_{gg}^{(2,N_F)}$
• The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements
• Light-like Wilson loops in ABJM and maximal transcendentality
• The Unpolarized and Polarized Single-Mass Three-Loop Heavy Flavor Operator Matrix Elements $A_{gg,Q}$ and $\Delta A_{gg,Q}$
• Triple-real contribution to the quark beam function in QCD at next-to-next-to-next-to-leading order
• The property of maximal transcendentality: calculation of Feynman integrals
• Four-point amplitudes in $\mathcal{N}=2$ SCQCD
• Three-loop effective potential of general scalar theory via differential equations