28 citations · 81 across the 11 of their papers we have counts for
11 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…
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…
Hypergeometry from -Symmetry: Feynman Integrals in One and Two Dimensions
Gwenaël Ferrando, Florian Loebbert, Amelie Pitters +1
Feynman integrals with generic propagator powers in one and two spacetime dimensions are investigated from various perspectives. In particular, we argue that the class of track 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…
Non-Local Symmetries of Planar Feynman Integrals
Florian Loebbert, Lucas Rüenaufer, Sven F. Stawinski
We prove the invariance of scalar Feynman graphs of any planar topology under the Yangian level-one momentum symmetry given certain constraints on the propagator powers. The proof…
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…
Conformal Four-Point Integrals: Recursive Structure, Toda Equations and Double Copy
Florian Loebbert, Sven F. Stawinski
We consider conformal four-point Feynman integrals to investigate how much of their mathematical structure in two spacetime dimensions carries over to higher dimensions. In particu…
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…
An Elliptic One-Loop Amplitude in Anti-de-Sitter Space
Sven F. Stawinski
We present full analytic results for the four-point one-loop amplitude of a conformally coupled scalar in four-dimensional Anti-de-Sitter space dual to a primary operator with scal…