90 citations · 508 across the 16 of their papers we have counts for
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Canonical differential equations beyond polylogs
Claude Duhr, Sara Maggio, Christoph Nega +3
Feynman integrals whose associated geometries extend beyond the Riemann sphere, such as elliptic curves and Calabi-Yau varieties, are increasingly relevant in modern precision calc…
Conservative Black Hole Scattering at Fifth Post-Minkowskian and Second Self-Force Order
Mathias Driesse, Gustav Uhre Jakobsen, Gustav Mogull +4
Using the worldline quantum field theory formalism, we compute conservative contributions to the scattering angle and impulse for classical black hole scattering at fifth post-Mink…
Aspects of canonical differential equations for Calabi-Yau geometries and beyond
Claude Duhr, Sara Maggio, Christoph Nega +3
We show how a method to construct canonical differential equations for multi-loop Feynman integrals recently introduced by some of the authors can be extended to cases where the as…
Emergence of Calabi-Yau manifolds in high-precision black hole scattering
Mathias Driesse, Gustav Uhre Jakobsen, Albrecht Klemm +5
Using the worldline quantum field theory formalism, we compute the radiation-reacted impulse, scattering angle, radiated energy and recoil of a classical black hole (or neutron sta…
On the electron self-energy to three loops in QED
Claude Duhr, Federico Gasparotto, Christoph Nega +2
We compute the electron self-energy in Quantum Electrodynamics to three loops in terms of iterated integrals over kernels of elliptic type. We make use of the differential equation…
Geometry from Integrability: Multi-Leg Fishnet Integrals in Two Dimensions
Claude Duhr, Albrecht Klemm, Florian Loebbert +2
We generalise the geometric analysis of square fishnet integrals in two dimensions to the case of hexagonal fishnets with three-point vertices. Our results support the conjecture t…
Calabi-Yau periods for black hole scattering in classical general relativity
Albrecht Klemm, Christoph Nega, Benjamin Sauer +1
The high-precision description of black hole scattering in classical general relativity using the post-Minkowskian (PM) expansion requires the evaluation of single-scale Feynman in…
The Basso-Dixon Formula and Calabi-Yau Geometry
Claude Duhr, Albrecht Klemm, Florian Loebbert +2
We analyse the family of Calabi-Yau varieties attached to four-point fishnet integrals in two dimensions. We find that the Picard-Fuchs operators for fishnet integrals are exterior…
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…
Yangian-invariant fishnet integrals in 2 dimensions as volumes of Calabi-Yau varieties
Claude Duhr, Albrecht Klemm, Florian Loebbert +2
We argue that -loop Yangian-invariant fishnet integrals in 2 dimensions are connected to a family of Calabi-Yau -folds. The value of the integral can be computed from t…
Feynman Integrals in Dimensional Regularization and Extensions of Calabi-Yau Motives
Kilian Bönisch, Claude Duhr, Fabian Fischbach +2
We provide a comprehensive summary of concepts from Calabi-Yau motives relevant to the computation of multi-loop Feynman integrals. From this we derive several consequences for mul…
Analytic Structure of all Loop Banana Amplitudes
Kilian Bönisch, Fabian Fischbach, Albrecht Klemm +2
Using the Gelfand-Kapranov-Zelevinsk\uı system for the primitive cohomology of an infinite series of complete intersection Calabi-Yau manifolds, whose dimension is the loop order m…
Lost Chapters in CHL Black Holes: Untwisted Quarter-BPS Dyons in the Model
Fabian Fischbach, Albrecht Klemm, Christoph Nega
Motivated by recent advances in Donaldson-Thomas theory, four-dimensional string-string duality is examined in a reduced rank theory on a less studied BPS sector. I…
The -loop Banana Amplitude from GKZ Systems and relative Calabi-Yau Periods
Albrecht Klemm, Christoph Nega, Reza Safari
We use the GKZ description of periods and certain classes of relative periods on families of Barth-Nieto Calabi-Yau -folds in order to solve the -loop banana amplitudes w…
WKB Method and Quantum Periods beyond Genus One
Fabian Fischbach, Albrecht Klemm, Christoph Nega
We extend topological string methods in order to perform WKB approximations for quantum mechanical problems with higher order potentials efficiently. This requires techniques for t…