8 papers
Solution of Canonical Differential Equations for Integrals on Arbitrary Geometries
MichaÅ Czakon, Lorenzo Tancredi
A highly successful approach to computing multi-loop scattering amplitudes is to reduce the Feynman integrals that arise to a smaller set of master integrals using integration-by-p…
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…
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 for…
Analytic two-loop amplitudes for di-jet and jet production mediated by a heavy-quark loop
Federico Coro, Christoph Nega, Lorenzo Tancredi +1
In this paper, we present analytical results for the two-loop QCD corrections to the production of two partons or a photon and a parton in hadronic collisions, mediated by loops of…
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…