PoS - Proceedings of Science
Volume 416 - Loops and Legs in Quantum Field Theory (LL2022) - Parallel 7
Recent progress in intersection theory for Feynman integrals decomposition.
V. Chestnov
Full text: pdf
Published on: October 20, 2022
High precision calculations in perturbative QFT often require evaluation of big collection of
Feynman integrals. Complexity of this task can be greatly reduced via the usage of linear identities
among Feynman integrals. Based on mathematical theory of intersection numbers, recently a new
method for derivation of such identities and decomposition of Feynman integrals was introduced
and applied to many non-trivial examples.
In this note we discuss the latest developments in algorithms for the evaluation of
intersection numbers, and their application to the reduction of Feynman integrals.
DOI: https://doi.org/10.22323/1.416.0058
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