Bananas: multi-edge graphs and their Feynman integrals

We consider multi-edge or banana graphs b n on n internal edges e i with different masses m i . We focus on the cut banana graphs ℑ ( Φ R ( b n ) ) from which the full result Φ R ( b n ) can be derived through dispersion. We give a recursive definition of ℑ ( Φ R ( b n ) ) through iterated integrals...

Full description

Saved in:
Bibliographic Details
Published in:Letters in mathematical physics 2023-04, Vol.113 (2), Article 38
Main Author: Kreimer, Dirk
Format: Article
Language:English
Subjects:
Complex Systems
Geometry
Group Theory and Generalizations
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider multi-edge or banana graphs b n on n internal edges e i with different masses m i . We focus on the cut banana graphs ℑ ( Φ R ( b n ) ) from which the full result Φ R ( b n ) can be derived through dispersion. We give a recursive definition of ℑ ( Φ R ( b n ) ) through iterated integrals. We discuss the structure of this iterated integral in detail. A discussion of accompanying differential equations, of monodromy and of a basis of master integrals is included.
ISSN:1573-0530
1573-0530
DOI:10.1007/s11005-023-01660-4