91 citations · 531 across the 21 of their papers we have counts for
6 papers · 1 filter
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…
Quark beam function at next-to-next-to-next-to-leading order in perturbative QCD in the generalized large- approximation
Arnd Behring, Kirill Melnikov, Robbert Rietkerk +2
We present the matching coefficient for the quark beam function at next-to-next-to-next-to-leading order in perturbative QCD in the generalized large -approximation, $N_c \sim…
An analytic solution for the equal-mass banana graph
Johannes Broedel, Claude Duhr, Falko Dulat +3
We present fully analytic results for all master integrals for the three-loop banana graph with four equal and non-zero masses. The results are remarkably simple and all integrals…
Physical projectors for multi-leg helicity amplitudes
Tiziano Peraro, Lorenzo Tancredi
We present a method for building physical projector operators for multi-leg helicity amplitudes. For any helicity configuration of the external particles, we define a physical proj…
Triple-real contribution to the quark beam function in QCD at next-to-next-to-next-to-leading order
Kirill Melnikov, Robbert Rietkerk, Lorenzo Tancredi +1
We compute the three-loop master integrals required for the calculation of the triple-real contribution to the NLO quark beam function due to the splitting of a quark into a vi…
Elliptic polylogarithms and Feynman parameter integrals
Johannes Broedel, Claude Duhr, Falko Dulat +2
In this paper we study the calculation of multiloop Feynman integrals that cannot be expressed in terms of multiple polylogarithms. We show in detail how certain types of two- and…