Deriving canonical differential equations for Feynman integrals from a single uniform weight integral

From infinity to four dimensions: higher residue pairings and Feynman integrals

(2020) Sebastian Mizera et al.   JOURNAL OF HIGH ENERGY PHYSICS

Logarithmic forms and differential equations for Feynman integrals

(2020) Enrico Herrmann et al.   JOURNAL OF HIGH ENERGY PHYSICS

Elliptic Feynman integrals and pure functions

(2019) Johannes Broedel et al.   JOURNAL OF HIGH ENERGY PHYSICS

Analytic result for the nonplanar hexa-box integrals

(2019) D. Chicherin et al.   JOURNAL OF HIGH ENERGY PHYSICS

Two-Loop Five-Point Amplitude in N=4 Super-Yang-Mills Theory

(2019) Samuel Abreu et al.   PHYSICAL REVIEW LETTERS

All Master Integrals for Three-Jet Production at Next-to-Next-to-Leading Order

(2019) D. Chicherin et al.   PHYSICAL REVIEW LETTERS

FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs

(2019) Tiziano Peraro   JOURNAL OF HIGH ENERGY PHYSICS

Reconstructing rational functions with FireFly

(2019) Jonas Klappert et al.   COMPUTER PHYSICS COMMUNICATIONS

Differential equations, recurrence relations, and quadratic constraints for L-loop two-point massive tadpoles and propagators.

(2019) Roman N. Lee et al.   JOURNAL OF HIGH ENERGY PHYSICS

The ε -form of the differential equations for Feynman integrals in the elliptic case

(2018) Luise Adams et al.   PHYSICS LETTERS B

Bootstrapping pentagon functions

(2018) Dmitry Chicherin et al.   JOURNAL OF HIGH ENERGY PHYSICS

Pentagon functions for massless planar scattering amplitudes

(2018) T. Gehrmann et al.   JOURNAL OF HIGH ENERGY PHYSICS

Transforming differential equations of multi-loop Feynman integrals into canonical form

(2017) Christoph Meyer   JOURNAL OF HIGH ENERGY PHYSICS

The three-loop cusp anomalous dimension in QCD and its supersymmetric extensions

(2016) Andrey G. Grozin et al.   JOURNAL OF HIGH ENERGY PHYSICS

Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals

(2015) Erik Panzer   COMPUTER PHYSICS COMMUNICATIONS

Reducing differential equations for multiloop master integrals

(2015) Roman N. Lee   JOURNAL OF HIGH ENERGY PHYSICS

Schouten identities for Feynman graph amplitudes; The Master Integrals for the two-loop massive sunrise graph

(2014) Ettore Remiddi et al.   NUCLEAR PHYSICS B

Singularity Structure of Maximally Supersymmetric Scattering Amplitudes

(2014) Nima Arkani-Hamed et al.   PHYSICAL REVIEW LETTERS

Evaluating single-scale and/or non-planar diagrams by differential equations

(2014) Johannes M. Henn et al.   JOURNAL OF HIGH ENERGY PHYSICS

Adequate bases of phase space master integrals for gg → h at NNLO and beyond

(2014) Maik Höschele et al.   JOURNAL OF HIGH ENERGY PHYSICS

Iterative structure of finite loop integrals

(2014) Simon Caron-Huot et al.   JOURNAL OF HIGH ENERGY PHYSICS

Multiloop Integrals in Dimensional Regularization Made Simple

(2013) Johannes M. Henn   PHYSICAL REVIEW LETTERS

Analytic results for planar three-loop four-point integrals from a Knizhnik-Zamolodchikov equation

(2013) Johannes M. Henn et al.   JOURNAL OF HIGH ENERGY PHYSICS

Local integrals for planar scattering amplitudes

(2012) N. Arkani-Hamed et al.   JOURNAL OF HIGH ENERGY PHYSICS

Periods and Feynman integrals

(2009) Christian Bogner et al.   JOURNAL OF MATHEMATICAL PHYSICS