Bananas of equal mass: any loop, any order in the dimensional regularisation parameter.

Autor: Pögel, Sebastian, Wang, Xing, Weinzierl, Stefan
Zdroj: Journal of High Energy Physics; Apr2023, Vol. 2023 Issue 4, p1-34, 34p
Abstrakt: We describe a systematic approach to cast the differential equation for the l-loop equal mass banana integral into an ε-factorised form. With the known boundary value at a specific point we obtain systematically the term of order j in the expansion in the dimensional regularisation parameter ε for any loop l. The approach is based on properties of Calabi-Yau operators, and in particular on self-duality. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index