Lectures on differential equations for Feynman integrals
JM Henn - Journal of Physics A: Mathematical and Theoretical, 2015 - iopscience.iop.org
Over the last year significant progress was made in the understanding of the computation of
Feynman integrals using differential equations (DE). These lectures give a review of these …
Feynman integrals using differential equations (DE). These lectures give a review of these …
Reducing differential equations for multiloop master integrals
RN Lee - Journal of High Energy Physics, 2015 - Springer
A bstract We present an algorithm of the reduction of the differential equations for master
integrals the Fuchsian form with the right-hand side matrix linearly depending on …
integrals the Fuchsian form with the right-hand side matrix linearly depending on …
SusHi Bento: Beyond NNLO and the heavy-top limit
RV Harlander, S Liebler, H Mantler - Computer Physics Communications, 2017 - Elsevier
Abstract Version 1.6. 0 of the code SusHi is presented. Concerning inclusive CP-even Higgs
production in gluon fusion, the following new features with respect to previous versions have …
production in gluon fusion, the following new features with respect to previous versions have …
Constructing d-log integrands and computing master integrals for three-loop four-particle scattering
J Henn, B Mistlberger, VA Smirnov… - Journal of High Energy …, 2020 - Springer
A bstract We compute all master integrals for massless three-loop four-particle scattering
amplitudes required for processes like di-jet or di-photon production at the LHC. We present …
amplitudes required for processes like di-jet or di-photon production at the LHC. We present …
An algorithmic approach to finding canonical differential equations for elliptic Feynman integrals
C Dlapa, JM Henn, FJ Wagner - Journal of High Energy Physics, 2023 - Springer
A bstract 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 …
compute multi-loop Feynman integrals. Whenever they can be cast into canonical form, their …
Algorithmic transformation of multi-loop master integrals to a canonical basis with CANONICA
C Meyer - Computer Physics Communications, 2018 - Elsevier
The integration of differential equations of Feynman integrals can be greatly facilitated by
using a canonical basis. This paper presents the Mathematica package CANONICA, which …
using a canonical basis. This paper presents the Mathematica package CANONICA, which …
Soft-virtual corrections to Higgs production at
In this paper, we compute the soft-virtual corrections to Higgs boson production in gluon
fusion for infinite top-quark mass at next-to-next-to-next-to-leading order in QCD. In addition …
fusion for infinite top-quark mass at next-to-next-to-next-to-leading order in QCD. In addition …
Deriving canonical differential equations for Feynman integrals from a single uniform weight integral
C Dlapa, J Henn, K Yan - Journal of High Energy Physics, 2020 - Springer
A bstract Differential equations are a powerful tool for evaluating Feynman integrals. Their
solution is straightforward if a transformation to a canonical form is found. In this paper, we …
solution is straightforward if a transformation to a canonical form is found. In this paper, we …
Transforming differential equations of multi-loop Feynman integrals into canonical form
C Meyer - Journal of High Energy Physics, 2017 - Springer
A bstract The method of differential equations has been proven to be a powerful tool for the
computation of multi-loop Feynman integrals appearing in quantum field theory. It has been …
computation of multi-loop Feynman integrals appearing in quantum field theory. It has been …
From infinity to four dimensions: higher residue pairings and Feynman integrals
A bstract We study a surprising phenomenon in which Feynman integrals in D= 4− 2ε space-
time dimensions as ε→ 0 can be fully characterized by their behavior in the opposite limit …
time dimensions as ε→ 0 can be fully characterized by their behavior in the opposite limit …