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Integrand Analysis, Leading Singularities and Canonical Bases beyond Polylogarithms
Felix Forner, Cesare Carlo Mella, Christoph Nega +2
In this paper, we elaborate on the connection between leading singularities and canonical bases of Feynman integrals beyond polylogarithms. We start by discussing a notion of leadi…
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…
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…
On the photon self-energy to three loops in QED
Felix Forner, Christoph Nega, Lorenzo Tancredi
We compute the photon self-energy to three loops in Quantum Electrodynamics. The method of differential equations for Feynman integrals and a complete -factorization of the form…
On the electron self-energy to three loops in QED
Claude Duhr, Federico Gasparotto, Christoph Nega +2
We compute the electron self-energy in Quantum Electrodynamics to three loops in terms of iterated integrals over kernels of elliptic type. We make use of the differential equation…