We review in a pedagogical way the method of differential equations for the evaluation of D-
dimensionally regulated Feynman integrals. After dealing with the general features of the …

Sector decomposition is a constructive method to isolate divergences from parameter
integrals occurring in perturbative quantum field theory. We explain the general algorithm in …

Feynman integrals are indispensable for precision calculations in quantum field theory. They
occur as soon as one goes beyond the leading order in perturbative quantum field theory …

A bstract We present the complete formula for the cusp anomalous dimension at four loops
in QCD and in maximally supersymmetric Yang-Mills. In the latter theory it is given …

arXiv:1310.1145v1 [hep-ph] 4 Oct 2013 Page 1 arXiv:1310.1145v1 [hep-ph] 4 Oct 2013
LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals Roman N. Lee …

A bstract We complete the analytic calculation of the full set of two-loop Feynman integrals
required for computation of massless five-particle scattering amplitudes. We employ the …

A bstract We present for the first time fully analytic results for multi-loop equal-mass ice cone
graphs in two dimensions. By analysing the leading singularities of these integrals, we find …

We present an identity satisfied by the kinematic factors of diagrams describing the tree
amplitudes of massless gauge theories. This identity is a kinematic analog of the Jacobi …

A bstract We provide a comprehensive summary of concepts from Calabi-Yau motives
relevant to the computation of multi-loop Feynman integrals. From this we derive several …

Mathematica package LiteRed is described. It performs the heuristic search of the symbolic
IBP reduction rules for loop integrals. It implements also several convenient tools for the …