Seminars/Colloquia

IBP Reduction using Gröbner bases

by Tobias Huber (Universität Siegen)

→ Europe/Berlin
Main/0-174 - Auditorium (MPP)

Main/0-174 - Auditorium

MPP

https://mppmu.zoom.us/j/97096319599?pwd=ZDFoWk1LQ0t4NHRRNEJXZmhJek1jQT09
Description

In this talk I will discuss how Gröbner bases can be used to perform integration-by-parts (IBP) reductions of loop integrals. After an introduction to IBP reduction, Gröbner bases, and other notions from algebraic geometry, I will show several examples where the Gröbner bases approach can be successfully applied to the loop-integral reduction. I will also discuss current limitations of the approach and how they can be partially circumvented by an ansatz based on linear algebra.