On $\varepsilon$-factorised bases and pure Feynman integrals

Autor:	Frellesvig, Hjalte, Weinzierl, Stefan
Rok vydání:	2023
Předmět:	High Energy Physics - Theory Mathematical Physics
Zdroj:	SciPost Phys. 16, 150 (2024)
Druh dokumentu:	Working Paper
DOI:	10.21468/SciPostPhys.16.6.150
Popis:	We investigate $\varepsilon$-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 $\varepsilon$-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. Comment: 25 pages, v2: text improvements
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2301.02264 Zobrazit plný text záznamu View this record from Arxiv