Abstract
We investigate ϵ-factorised differential equations, uniform transcendental weight and purity for Feynman integrals. We are in particular interested in Feynman integrals beyond the ones which evaluate to multiple polylogarithms. We show that a ϵ-factorised differential equation does not necessarily lead to Feynman integrals of uniform transcendental weight. We also point out that a proposed definition of purity works locally, but not globally.
| Originalsprog | Engelsk |
|---|---|
| Artikelnummer | 150 |
| Tidsskrift | SciPost Physics |
| Vol/bind | 16 |
| Udgave nummer | 6 |
| Antal sider | 23 |
| ISSN | 2542-4653 |
| DOI | |
| Status | Udgivet - 2024 |
Bibliografisk note
Funding Information:H.F. is partially supported by a Carlsberg Foundation Reintegration Fellowship, and has received funding from the European Union\u2019s Horizon 2020 research and innovation program under the Marie Sklodowska-Curie grant agreement No. 847523 \u201CINTERACTIONS\u201D.
Funding Information:
Funding information H.F. is partially supported by a Carlsberg Foundation Reintegration Fellowship, and has received funding from the European Union\u2019s Horizon 2020 research and innovation program under the Marie Sklodowska-Curie grant agreement No. 847523 \u201CINTERACTIONS\u201D.
Publisher Copyright:
Copyright H. Frellesvig and S. Weinzierl.