195 citations · 402 across the 17 of their papers we have counts for
5 papers · 1 filter
Modular graph forms from equivariant iterated Eisenstein integrals
Daniele Dorigoni, Mehregan Doroudiani, Joshua Drewitt +5
The low-energy expansion of closed-string scattering amplitudes at genus one introduces infinite families of non-holomorphic modular forms called modular graph forms. Their differe…
Meromorphic modular forms and the three-loop equal-mass banana integral
Johannes Broedel, Claude Duhr, Nils Matthes
We consider a class of differential equations for multi-loop Feynman integrals which can be solved to all orders in dimensional regularisation in terms of iterated integrals of mer…
Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes
Johannes Broedel, Nils Matthes, Gregor Richter +1
We consider a generalization of elliptic multiple zeta values, which we call twisted elliptic multiple zeta values. These arise as iterated integrals on an elliptic curve from whic…
Relations between elliptic multiple zeta values and a special derivation algebra
Johannes Broedel, Nils Matthes, Oliver Schlotterer
We investigate relations between elliptic multiple zeta values and describe a method to derive the number of indecomposable elements of given weight and length. Our method is based…
Elliptic multiple zeta values and one-loop superstring amplitudes
Johannes Broedel, Carlos R. Mafra, Nils Matthes +1
We investigate iterated integrals on an elliptic curve, which are a natural genus-one generalization of multiple polylogarithms. These iterated integrals coincide with the multiple…