57 citations · 127 across the 10 of their papers we have counts for
10 papers
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…
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…
Canonical Differential Equations Beyond Genus One
Claude Duhr, Franziska Porkert, Sven F. Stawinski
We discuss for the first time canonical differential equations for hyperelliptic Feynman integrals. We study hyperelliptic Lauricella functions that include in particular the maxim…
Self-duality from twisted cohomology
Claude Duhr, Franziska Porkert, Cathrin Semper +1
Recently a notion of self-duality for differential equations of maximal cuts was introduced, which states that there should be a basis in which the matrix for an ε-factorised diffe…
Twisted Riemann bilinear relations and Feynman integrals
Claude Duhr, Franziska Porkert, Cathrin Semper +1
Using the framework of twisted cohomology, we study twisted Riemann bilinear relations (TRBRs) satisfied by multi-loop Feynman integrals and their cuts in dimensional regularisatio…
Geometry from Integrability: Multi-Leg Fishnet Integrals in Two Dimensions
Claude Duhr, Albrecht Klemm, Florian Loebbert +2
We generalise the geometric analysis of square fishnet integrals in two dimensions to the case of hexagonal fishnets with three-point vertices. Our results support the conjecture t…
The Basso-Dixon Formula and Calabi-Yau Geometry
Claude Duhr, Albrecht Klemm, Florian Loebbert +2
We analyse the family of Calabi-Yau varieties attached to four-point fishnet integrals in two dimensions. We find that the Picard-Fuchs operators for fishnet integrals are exterior…
Feynman integrals in two dimensions and single-valued hypergeometric functions
Claude Duhr, Franziska Porkert
We show that all Feynman integrals in two Euclidean dimensions with massless propagators and arbitrary non-integer propagator powers can be expressed in terms of single-valued anal…
Yangian-invariant fishnet integrals in 2 dimensions as volumes of Calabi-Yau varieties
Claude Duhr, Albrecht Klemm, Florian Loebbert +2
We argue that -loop Yangian-invariant fishnet integrals in 2 dimensions are connected to a family of Calabi-Yau -folds. The value of the integral can be computed from t…