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Two-loop QED corrections to the scattering of four massive leptons
Maximilian Delto, Claude Duhr, Lorenzo Tancredi +1
We study two-loop corrections to the scattering amplitude of four massive leptons in quantum electrodynamics. These amplitudes involve previously unknown elliptic Feynman integrals…
Topology and geometry of elliptic Feynman amplitudes
Claude Duhr, Yu Jiao Zhu
We report on the analytic computation of the 2-loop amplitude for Bhabha scattering in QED. We study the analytic structure of the amplitude, and reveal its underlying connections…
Rational terms of UV origin to all loop orders
Claude Duhr, Paarth Thakkar
Numerical approaches to computations typically reconstruct the numerators of Feynman diagrams in four dimensions. In doing so, certain rational terms arising from the (D-4)-dimensi…
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…
UFO 2.0 -- The Universal Feynman Output format
Luc Darmé, Céline Degrande, Claude Duhr +16
We present an update of the Universal FeynRules Output model format, commonly known as the UFO format, that is used by several automated matrix-element generators and high-energy p…