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Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond
We compute the leading-color (planar) three-loop four-point amplitude of N = 4 supersymmetric Yang-Mills theory in 4 - 2{epsilon} dimensions, as a Laurent expansion about {epsilon} = 0 including theExpand
Feynman Integral Calculus
Feynman Integrals: Basic Definitions and Tools.- Evaluating by Alpha and Feynman Parameters.- Evaluating by MB Representation.- IBP and Reduction to Master Integrals.- Reduction to Master IntegralsExpand
The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
We present an expression for the leading-color (planar) four-loop four-point amplitude of N = 4 supersymmetric Yang-Mills theory in 4-2{epsilon} dimensions, in terms of eight separate integrals. TheExpand
Asymptotic expansion of Feynman integrals near threshold
Abstract We present general prescriptions for the asymptotic expansion of massive multi-loop Feynman integrals near threshold. As in the case of previously known prescriptions for various limits ofExpand
The homology of iterated loop spaces
The singular chain complex of the iterated loop space is expressed in terms of the cobar construction. After that we consider the spectral sequence of the cobar construction and calculate its firstExpand
Applied Asymptotic Expansions in Momenta and Masses
Feynman Integrals: a Brief Review.- Why, Where and How to Expand.- Off-Shell Large-Momentum Expansion.- Large-Mass Expansion.- Threshold Expansion. One Heavy Mass in the Threshold.- ThresholdExpand
Analytic Tools for Feynman Integrals
Introduction.- Feynman Integrals: Basic Definitions and Tools.-Evaluating by Alpha and Feynman Parameters.- Sector Decompositions.- Evaluating by Mellin-Barnes Representation.- Integration by PartsExpand
Magic identities for conformal four-point integrals
We propose an iterative procedure for constructing classes of off-shell four-point conformal integrals which are identical. The proof of the identity is based on the conformal properties of aExpand
Evaluating Feynman Integrals
Introduction.- Feynman Integrals: Basic Definitions and Tools.- Evaluating by Alpha and Feynman Parameters.- Evaluating by Mellin-Barnes Representation.- IBP and Reduction to Master Integrals.-Expand
Quark mass relations to four-loop order in perturbative QCD.
TLDR
Results are presented for the relation between a heavy quark mass defined in the on-shell and minimal subtraction (MS[over ¯]) scheme to four-loop order and the new results are used to establish relations between various short-distance masses and the MS[ over ¯] quarks mass to next-to-next- to-next to-leading order accuracy. Expand
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