Sep 9 – 13, 2019
Europe/Zurich timezone

Systematic integration of higher loop gauge theory amplitudes in position space

Sep 12, 2019, 12:00 PM
25m
Chambre du Trésorier

Chambre du Trésorier

Speaker

Michael Borinsky (Nikhef)

Description

Recently, there have been remarkable advances concerning the systematic integration of higher loop Feynman amplitudes. A synthesis of differential equation and number theoretical methods can be employed to calculate position space Feynman amplitudes in the massless case. The combination of these two methods makes this approach very efficient, as an IBP reduction step can be bypassed. We will review on how these techniques were used by one of the authors to calculate the 7-loop beta function in phi^4 theory in D=4. Moreover, we will show how these methods can be extended to general even dimensions and illustrate a further extension to gauge theories.

Primary author

Co-author

Oliver Schnetz (Friedrich-Alexander-Universität Erlangen-Nürnberg)

Presentation materials