16-20 November 2020
IHES
Europe/Paris timezone

Geometrical Splitting and Reduction of N-point Feynman Diagrams

16 Nov 2020, 14:00
45m
Marilyn and James Simons Conference Center (IHES)

Marilyn and James Simons Conference Center

IHES

35 route de Chartres, F-91440 Bures-sur-Yvette, France

Speaker

Prof. Andrei Davydychev (Moscow State University)

Description

A geometrical approach to the calculation of N-point Feynman diagrams is reviewed. It is shown how the geometrical splitting of N-point diagrams can be used to simplify the parametric integrals and reduce the number of variables in the occurring functions. Moreover, such a splitting yields useful connections between Feynman integrals with different momenta and masses. Calculation of the one-loop two-, three-and four-point functions in general kinematics is presented. The work on this approach was started in the 1990s in Tasmania, within a project where Bob Delbourgo and Dirk Kreimer were involved.

Presentation Materials