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Diagrammatic Coaction of Two-Loop Feynman Integrals
Samuel Abreu, Ruth Britto, Claude Duhr +2
It is known that one-loop Feynman integrals possess an algebraic structure encoding some of their analytic properties called the coaction, which can be written in terms of Feynman…
Generalized hypergeometric functions and intersection theory for Feynman integrals
Samuel Abreu, Ruth Britto, Claude Duhr +2
Feynman integrals that have been evaluated in dimensional regularization can be written in terms of generalized hypergeometric functions. It is well known that properties of these…
Three-loop contributions to the parameter and iterated integrals of modular forms
Samuel Abreu, Matteo Becchetti, Claude Duhr +1
We compute fully analytic results for the three-loop diagrams involving two different massive quark flavours contributing to the parameter in the Standard Model. We find that t…
Tree-level splitting amplitudes for a quark into four collinear partons
Vittorio Del Duca, Claude Duhr, Rayan Haindl +2
We compute in conventional dimensional regularisation the tree-level splitting amplitudes for a quark parent in the limit where four partons become collinear to each other. This is…
All-order amplitudes at any multiplicity in the multi-Regge limit
V. Del Duca, S. Druc, J. M. Drummond +5
We propose an all-loop expression for scattering amplitudes in planar N=4 super Yang-Mills theory in multi-Regge kinematics valid for all multiplicities, all helicity configuration…
Algorithms and tools for iterated Eisenstein integrals
Claude Duhr, Lorenzo Tancredi
We present algorithms to work with iterated Eisenstein integrals that have recently appeared in the computation of multi-loop Feynman integrals. These algorithms allow one to analy…