Transforming multi-loop Feynman integrals to a canonical basis with CANONICA
- Event time: 2:00pm
- Event date: 11th October 2017
- Speaker: Christoph Meyer (Humboldt-Universität zu Berlin)
- Location: Higgs Centre Seminar Room, 4305 James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB
In the past years the method of differential equations has proven itself to be a powerful tool for the computation of multi-loop Feynman integrals. This method relies on the choice of a basis of master integrals in which the dependence on the dimensional regulator factorizes. I will present an algorithm that automatizes the transformation to such a basis, starting from a given basis that is obtained for instance by one of the publicly available Laporta implementations. The algorithm is applicable to differential equations with multiple scales and rational dependence on the dimensional regulator. An implementation of the algorithm in mathematica will be shown and its application to multi-scale problems will be illustrated.
The Particle Physics Theory seminar is a weekly series of talks reflecting the diverse interests of the group. Topics include analytic and numerical calculations based on the Standard Model of elementary particle physics, theories exploring new physics, as well as more formal developments in gauge theories and gravity..