426 citations · 4.5k across the 64 of their papers we have counts for
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Elliptic polylogarithms and iterated integrals on elliptic curves I: general formalism
Johannes Broedel, Claude Duhr, Falko Dulat +1
We introduce a class of iterated integrals, defined through a set of linearly independent integration kernels on elliptic curves. As a direct generalisation of multiple polylogarit…
Elliptic polylogarithms and iterated integrals on elliptic curves II: an application to the sunrise integral
Johannes Broedel, Claude Duhr, Falko Dulat +1
We introduce a class of iterated integrals that generalize multiple polylogarithms to elliptic curves. These elliptic multiple polylogarithms are closely related to similar functio…
Three-loop mixed QCD-electroweak corrections to Higgs boson gluon fusion
Marco Bonetti, Kirill Melnikov, Lorenzo Tancredi
We compute the contribution of three-loop mixed QCD-electroweak corrections () to the scattering amplitude. We employ the method of differential equations to c…
An Elliptic Generalization of Multiple Polylogarithms
Ettore Remiddi, Lorenzo Tancredi
We introduce a class of functions which constitutes an obvious elliptic generalization of multiple polylogarithms. A subset of these functions appears naturally in the ε-expansion…
Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph
Amedeo Primo, Lorenzo Tancredi
We consider the calculation of the master integrals of the three-loop massive banana graph. In the case of equal internal masses, the graph is reduced to three master integrals whi…
Top-bottom interference effects in Higgs plus jet production at the LHC
Jonas M. Lindert, Kirill Melnikov, Lorenzo Tancredi +1
We compute next-to-leading order QCD corrections to the top-bottom interference contribution to H+j production at the LHC. To achieve this, we combine the recent computation of the…
Two-loop amplitudes for and mediated by a nearly massless quark
Kirill Melnikov, Lorenzo Tancredi, Christopher Wever
We compute the two-loop QCD corrections to and amplitudes mediated by loops of nearly massless quarks. These amplitudes provide the last missing i…
A non-planar two-loop three-point function beyond multiple polylogarithms
Andreas von Manteuffel, Lorenzo Tancredi
We consider the analytic calculation of a two-loop non-planar three-point function which contributes to the two-loop amplitudes for production and production in gl…