Special functions, their periods in Higher Loop Diagrams and their Numerical Evaluation

by Mark Round (RISC JKU Linz and DESY)

Tuesday 13 Jun 2017, 15:00 → 16:00 Europe/Berlin

Seminar room 2, building 2A (DESY Hamburg)

A review of the basic special functions occurring in perturbative field theory diagrams is given. New results concerning generalised and cyclotomic polylogarithms originating from Feynman diagrams that contribute to the massive Wilson coefficients in DIS at 3-loops are also outlined. Some emphasis on numerical evaluation is given and how numerical issues relate to special functions and number theoretic considerations.

Slides talk.pdf