The property of maximal transcendentality: calculation of Feynman integrals

Abstract

We review some results of calculations, having the property of maximal transcendentality.

15 pages, 3 figures, talk given at the V International Conference "Models in Quantum Field Theory" (MQFT-2015), September 21-25, 2015, V.A. Fock Physical Research Institute, Petergof, Russia. arXiv admin note: substantial text overlap with arXiv:1212.3732

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• The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements
• ABJM quantum spectral curve and Mellin transform
• Four-point amplitudes in $\mathcal{N}=2$ SCQCD
• ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
• Three-loop effective potential of general scalar theory via differential equations