58 citations · 160 across the 5 of their papers we have counts for
5 papers
Feynman integrals, geometries and differential equations
Sebastian Pögel, Xing Wang, Stefan Weinzierl
In this talk we discuss the construction of a basis of master integrals for the family of the -loop equal-mass banana integrals, such that the differential equation is in an $\v…
-factorized differential equations for two-loop non-planar triangle Feynman integrals with elliptic curves
Xuhang Jiang, Xing Wang, Li Lin Yang +1
In this paper, we investigate two-loop non-planar triangle Feynman integrals involving elliptic curves. In contrast to the Sunrise and Banana integral families, the triangle famili…
Bananas of equal mass: any loop, any order in the dimensional regularisation parameter
Sebastian Pögel, Xing Wang, Stefan Weinzierl
We describe a systematic approach to cast the differential equation for the -loop equal mass banana integral into an -factorised form. With the known boundary value…
Taming Calabi-Yau Feynman integrals: The four-loop equal-mass banana integral
Sebastian Pögel, Xing Wang, Stefan Weinzierl
Certain Feynman integrals are associated to Calabi-Yau geometries. We demonstrate how these integrals can be computed with the method of differential equations. The four-loop equal…
The three-loop equal-mass banana integral in -factorised form with meromorphic modular forms
Sebastian Pögel, Xing Wang, Stefan Weinzierl
We show that the differential equation for the three-loop equal-mass banana integral can be cast into an -factorised form with entries constructed from (meromorphic) m…