91 citations · 531 across the 21 of their papers we have counts for
9 papers · 1 filter
Graded transcendental functions: an application to four-point amplitudes with one off-shell leg
Thomas Gehrmann, Johannes Henn, Petr Jakubčík +5
Several recent works have demonstrated the powerful algebraic simplifications that can be achieved for scattering amplitudes through a systematic grading of transcendental quantiti…
On a procedure to derive -factorised differential equations beyond polylogarithms
Lennard Görges, Christoph Nega, Lorenzo Tancredi +1
In this manuscript, we elaborate on a procedure to derive -factorised differential equations for multi-scale, multi-loop classes of Feynman integrals that evaluate to special fu…
The ice cone family and iterated integrals for Calabi-Yau varieties
Claude Duhr, Albrecht Klemm, Christoph Nega +1
We present for the first time fully analytic results for multi-loop equal-mass ice cone graphs in two dimensions. By analysing the leading singularities of these integrals, we find…
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…
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…
Elliptic Feynman integrals and pure functions
Johannes Broedel, Claude Duhr, Falko Dulat +2
We propose a variant of elliptic multiple polylogarithms that have at most logarithmic singularities in all variables and satisfy a differential equation without homogeneous term.…