12 citations · 29 across the 10 of their papers we have counts for
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Discrete symmetries of Feynman integrals
Claude Duhr, Sara Maggio, Cathrin Semper +1
We perform a comprehensive study of a certain class of discrete symmetries of families of Feynman integrals, defined as affine changes of variables that map different sectors of th…
Canonical differential equations beyond polylogs
Claude Duhr, Sara Maggio, Christoph Nega +3
Feynman integrals whose associated geometries extend beyond the Riemann sphere, such as elliptic curves and Calabi-Yau varieties, are increasingly relevant in modern precision calc…
Intersection theory and canonical differential equations
Claude Duhr, Sara Maggio, Franziska Porkert +3
In these proceedings we will review recent progress in applying ideas from the mathematical framework of twisted cohomology to the study of canonical differential equations for Fey…
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…