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102 papers
-Module Techniques for Solving Differential Equations in the Context of Feynman Integrals
Johannes Henn, Elizabeth Pratt, Anna-Laura Sattelberger +1
Feynman integrals are solutions to linear partial differential equations with polynomial coefficients. Using a triangle integral with general exponents as a case in point, we compa…
Integrated negative geometries in ABJM
Johannes M. Henn, Martín Lagares, Shun-Qing Zhang
We study, in the context of the three-dimensional Chern-Simons-matter (ABJM) theory, the infrared-finite functions that result from performing loop integrations…
First look at the evaluation of three-loop non-planar Feynman diagrams for Higgs plus jet production
Johannes M. Henn, Jungwon Lim, William J. Torres Bobadilla
We present new computations for Feynman integrals relevant to Higgs plus jet production at three loops, including first results for a non-planar class of integrals. The results are…
An algorithmic approach to finding canonical differential equations for elliptic Feynman integrals
Christoph Dlapa, Johannes M. Henn, Fabian J. Wagner
In recent years, differential equations have become the method of choice to compute multi-loop Feynman integrals. Whenever they can be cast into canonical form, their solution in t…
Four-dimensional differential equations for the leading divergences of dimensionally-regulated loop integrals
Johannes Henn, Rourou Ma, Kai Yan +1
We invent an automated method for computing the divergent part of Feynman integrals in dimensional regularization. Our method exploits simplifications from four-dimensional integra…
One-loop hexagon integral to higher orders in the dimensional regulator
Johannes M. Henn, Antonela Matijašić, Julian Miczajka
The state-of-the-art in current two-loop QCD amplitude calculations is at five-particle scattering. Computing two-loop six-particle processes requires knowledge of the correspondin…