Combinations of In (y), In (I—y) and In (1+ Ï/) and negative powers of 1+ y. ln {l-\-y) and
negative powers of (1—y). Combinations and powers of Ы (у), ln (l—y) and 1п (1+ г/) and …

In the recent years a remarkable progress has been achieved In calculating higher-order
corrections to varloue quantities. Different and very involved methods of multiloop …

In this paper, we present an implementation of the harmonic polylogarithm of Remiddi and
Vermaseren [E. Remiddi, JAM Vermaseren, Int. J. Modern Phys. A 15 (2000) 725, hep …

A survey is given on mathematical structures which emerge in multi-loop Feynman
diagrams. These are multiply nested sums, and, associated to them by an inverse Mellin …

The Mathematica toolkit AMBRE derives Mellin–Barnes (MB) representations for Feynman
integrals in d= 4− 2ε dimensions. It may be applied for tadpoles as well as for multi-leg multi …

This paper describes algorithms to deal with nested symbolic sums over combinations of
harmonic series, binomial coefficients and denominators. In addition it treats Mellin …

We discuss the program EXP used to automate the successive application of asymptotic
expansions to Feynman diagrams. We focus on the generation of the relevant subgraphs …

The functional techniques of field theory are adapted to the problem of evaluating sums of
combinatoric and group-theoretic weights of Feynman diagrams in φ N, quantum …

Contributions of Feynman diagrams consisting of a single loop with an arbitrary number of
vertices are explicitly evaluated in two-dimensional space-time. The result can be written as …

Differential equation method. The calculation of N-point Feynman diagrams Page 1 Physics
Letters B 267 ( 1991 ) 123-127 North-Holland PHYSICS LETTERS B Differential equation …