PoS - Proceedings of Science
Volume 303 - Loops and Legs in Quantum Field Theory (LL2018) - Parallel 8
The number of master integrals as Euler characteristic
E. Panzer,* T. Bitoun, C. Bogner, R.P. Klausen
*corresponding author
Full text: pdf
Published on: October 02, 2018
Abstract
We give a brief introduction to a parametric approach for the derivation of shift relations between
Feynman integrals and a result on the number of master integrals. The shift relations are obtained
from parametric annihilators of the Lee-Pomeransky polynomial G . By identification of Feynman
integrals as multi-dimensional Mellin transforms, we show that this approach generates every
shift relation. Feynman integrals of a given family form a vector space, whose finite dimension is
naturally interpreted as the number of master integrals. This number is an Euler characteristic of
the polynomial G .
DOI: https://doi.org/10.22323/1.303.0065
How to cite

Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.

Open Access
Creative Commons LicenseCopyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.