12 citations · 29 across the 10 of their papers we have counts for
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Three-loop banana integrals with three equal masses
Claude Duhr, Sara Maggio
We obtain and solve the canonical differential equations for the three-loop banana integrals in dimensional regularisation when three of the four masses are equal. The K3 surface a…
Canonical differential equations and intersection matrices
Claude Duhr, Sara Maggio, Franziska Porkert +3
Differential equations are one of the main approaches to evaluate multi-loop Feynman integrals. The construction of a canonical or -factorised basis for multi-loop int…
Three-loop banana integrals with four unequal masses
Claude Duhr, Sara Maggio, Franziska Porkert +2
We present a system of canonical differential equations satisfied by the three-loop banana integrals with four distinct non-zero masses in $D = 2-2\eps$ dimensions. Together with t…
On canonical differential equations for Calabi-Yau multi-scale Feynman integrals
Sara Maggio, Yoann Sohnle
We generalise a method recently introduced in the literature, that derives canonical differential equations, to multi-scale Feynman integrals with an underlying Calabi-Yau geometry…
Aspects of canonical differential equations for Calabi-Yau geometries and beyond
Claude Duhr, Sara Maggio, Christoph Nega +3
We show how a method to construct canonical differential equations for multi-loop Feynman integrals recently introduced by some of the authors can be extended to cases where the as…
Feynman integrals, elliptic integrals and two-parameter K3 surfaces
Claude Duhr, Sara Maggio
The three-loop banana integral with three equal masses and the conformal two-loop five-point traintrack integral in two dimensions are related to a two-parameter family of K3 surfa…