1 citations · 2 across the 9 of their papers we have counts for
9 papers
Solution of Canonical Differential Equations for Integrals on Arbitrary Geometries
Michał 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…
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…
Analytic two-loop amplitudes for and mediated by a heavy-quark loop
Matteo Becchetti, Federico Coro, Christoph Nega +2
We address the analytic computation of the two-loop scattering amplitudes for the production of two photons in parton-parton scattering, mediated by loops of heavy quarks. Due to t…
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…
Finite Feynman Integrals
Giulio Gambuti, David A. Kosower, Pavel P. Novichkov +1
We describe an algorithm to organize Feynman integrals in terms of their infrared properties. Our approach builds upon the theory of Landau singularities, which we use to classify…