Speaker
Tobias Huber
(Siegen University)
Description
Using methods from algebraic geometry such as Gr\"obner bases, we derive operator solutions to IBP relations that retain the functional dependence on the propagator powers $a_i$. The reduction to master integrals is achieved by applying the operators to the integrals $I(a_i)$. The solution at hand makes a case-by-case bottom-up solution of the system of IBP equations obsolete. In the talk we present the algorithms, give examples and point out interesting future directions.
Primary author
Tobias Huber
(Siegen University)
Co-authors
Dr
Jan Piclum
(Siegen U)
Prof.
Mohamed Brakat
(Siegen U)
Dr
Robin Brüser
(Siegen U)
