9 papers
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…
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…
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…