Feynman integrals, geometries and differential equations

Autor:	Pögel, Sebastian, Wang, Xing, Weinzierl, Stefan
Rok vydání:	2023
Předmět:	High Energy Physics - Theory High Energy Physics - Phenomenology Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	In this talk we discuss the construction of a basis of master integrals for the family of the $l$-loop equal-mass banana integrals, such that the differential equation is in an $\varepsilon$-factorised form. As the $l$-loop banana integral is related to a Calabi-Yau $(l-1)$-fold, this extends the examples where an $\varepsilon$-factorised form has been found from Feynman integrals related to curves (of genus zero and one) to Feynman integrals related to higher-dimensional varieties. Comment: 10 pages, talk given at RADCOR 2023
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.07531 Zobrazit plný text záznamu View this record from Arxiv