214 citations · 1.9k across the 30 of their papers we have counts for
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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.…
Elliptic polylogarithms and two-loop Feynman integrals
Johannes Broedel, Claude Duhr, Falko Dulat +2
We review certain classes of iterated integrals that appear in the computation of Feynman integrals that involve elliptic functions. These functions generalise the well-known class…
From modular forms to differential equations for Feynman integrals
Johannes Broedel, Claude Duhr, Falko Dulat +2
In these proceedings we discuss a representation for modular forms that is more suitable for their application to the calculation of Feynman integrals in the context of iterated in…
Elliptic symbol calculus: from elliptic polylogarithms to iterated integrals of Eisenstein series
Johannes Broedel, Claude Duhr, Falko Dulat +2
We present a generalization of the symbol calculus from ordinary multiple polylogarithms to their elliptic counterparts. Our formalism is based on a special case of a coaction on l…
From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop
Johannes Broedel, Oliver Schlotterer, Federico Zerbini
We relate one-loop scattering amplitudes of massless open- and closed-string states at the level of their low-energy expansion. The modular graph functions resulting from integrati…