Related references
Note: Only part of the references are listed.Towards Massively Parallel Computations in Algebraic Geometry
Janko Boehm et al.
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS (2021)
Reconstructing rational functions with FireFly
Jonas Klappert et al.
COMPUTER PHYSICS COMMUNICATIONS (2020)
Integration-by-parts reductions of Feynman integrals using Singular and GPI-Space
Dominik Bendle et al.
JOURNAL OF HIGH ENERGY PHYSICS (2020)
Constructing d-log integrands and computing master integrals for three-loop four-particle scattering
Johannes Henn et al.
JOURNAL OF HIGH ENERGY PHYSICS (2020)
Deriving canonical differential equations for Feynman integrals from a single uniform weight integral
Christoph Dlapa et al.
JOURNAL OF HIGH ENERGY PHYSICS (2020)
Cusp and Collinear Anomalous Dimensions in Four-Loop QCD from Form Factors
Andreas von Manteuffel et al.
PHYSICAL REVIEW LETTERS (2020)
Complete reduction of integrals in two-loop five-light-parton scattering amplitudes*
Xin Guan et al.
CHINESE PHYSICS C (2020)
How to choose master integrals
A. V. Smirnov et al.
NUCLEAR PHYSICS B (2020)
Direct reduction of multiloop multiscale scattering amplitudes
Yefan Wang et al.
PHYSICAL REVIEW D (2020)
Two-Loop Five-Point Amplitude in N=4 Super-Yang-Mills Theory
Samuel Abreu et al.
PHYSICAL REVIEW LETTERS (2019)
Feynman integrals and intersection theory
Pierpaolo Mastrolia et al.
JOURNAL OF HIGH ENERGY PHYSICS (2019)
All Master Integrals for Three-Jet Production at Next-to-Next-to-Leading Order
D. Chicherin et al.
PHYSICAL REVIEW LETTERS (2019)
Semi-analytical calculation of gluon fragmentation into 1S0[1,8] quarkonia at next-to-leading order
Peng Zhang et al.
JOURNAL OF HIGH ENERGY PHYSICS (2019)
Analytic form of the planar two-loop five-parton scattering amplitudes in QCD
S. Abreu et al.
JOURNAL OF HIGH ENERGY PHYSICS (2019)
Decomposition of Feynman integrals on the maximal cut by intersection numbers
Hjalte Frellesvig et al.
JOURNAL OF HIGH ENERGY PHYSICS (2019)
FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs
Tiziano Peraro
JOURNAL OF HIGH ENERGY PHYSICS (2019)
Vector Space of Feynman Integrals and Multivariate Intersection Numbers
Hjalte Frellesvig et al.
PHYSICAL REVIEW LETTERS (2019)
Determining arbitrary Feynman integrals by vacuum integrals
Xiao Liu et al.
PHYSICAL REVIEW D (2019)
Kira-A Feynman integral reduction program
P. Maierhoefer et al.
COMPUTER PHYSICS COMMUNICATIONS (2018)
Algorithmic transformation of multi-loop master integrals to a canonical basis with CANONICA
Christoph Meyer
COMPUTER PHYSICS COMMUNICATIONS (2018)
A systematic and efficient method to compute multi-loop master integrals
Xiao Liu et al.
PHYSICS LETTERS B (2018)
Bootstrapping pentagon functions
Dmitry Chicherin et al.
JOURNAL OF HIGH ENERGY PHYSICS (2018)
Complete integration-by-parts reductions of the non-planar hexagon-box via module intersections
Janko Boehm et al.
JOURNAL OF HIGH ENERGY PHYSICS (2018)
Direct solution of integration-by-parts systems
David A. Kosower
PHYSICAL REVIEW D (2018)
Complete sets of logarithmic vector fields for integration-by-parts identities of Feynman integrals
Janko Boehm et al.
PHYSICAL REVIEW D (2018)
Scattering amplitudes over finite fields and multivariate functional reconstruction
Tiziano Peraro
JOURNAL OF HIGH ENERGY PHYSICS (2016)
Integration-by-parts reductions from unitarity cuts and algebraic geometry
Kasper J. Larsen et al.
PHYSICAL REVIEW D (2016)
Two-loop integrand decomposition into master integrals and surface terms
Harald Ita
PHYSICAL REVIEW D (2016)
FIRE5: A C++ implementation of Feynman Integral REduction
A. V. Smirnov
COMPUTER PHYSICS COMMUNICATIONS (2015)
Lectures on differential equations for Feynman integrals
Johannes M. Henn
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2015)
THE USE OF BAD PRIMES IN RATIONAL RECONSTRUCTION
Janko Boehm et al.
MATHEMATICS OF COMPUTATION (2015)
A novel approach to integration by parts reduction
Andreas von Manteuffel et al.
PHYSICS LETTERS B (2015)
Reducing differential equations for multiloop master integrals
Roman N. Lee
JOURNAL OF HIGH ENERGY PHYSICS (2015)
FIRE4, Lite Red and accompanying tools to solve integration by parts relations
A. V. Smirnov et al.
COMPUTER PHYSICS COMMUNICATIONS (2013)
Multiloop Integrals in Dimensional Regularization Made Simple
Johannes M. Henn
PHYSICAL REVIEW LETTERS (2013)
A new algorithm for the generation of unitarity-compatible integration by parts relations
Robert M. Schabinger
JOURNAL OF HIGH ENERGY PHYSICS (2012)
From polygons and symbols to polylogarithmic functions
Claude Duhr et al.
JOURNAL OF HIGH ENERGY PHYSICS (2012)
The Number of Master Integrals is Finite
Alexander V. Smirnov et al.
LETTERS IN MATHEMATICAL PHYSICS (2011)
Towards a basis for planar two-loop integrals
Janusz Gluza et al.
PHYSICAL REVIEW D (2011)
Reduze-Feynman integral reduction in C++
C. Studerus
COMPUTER PHYSICS COMMUNICATIONS (2010)
Classical Polylogarithms for Amplitudes and Wilson Loops
A. B. Goncharov et al.
PHYSICAL REVIEW LETTERS (2010)
Group structure of the integration-by-part identities and its application to the reduction of multiloop integrals
R. N. Lee
JOURNAL OF HIGH ENERGY PHYSICS (2008)
Algorithm FIRE - Feynman Integral REduction
A. V. Smirnov
JOURNAL OF HIGH ENERGY PHYSICS (2008)
Two-loop master integrals for γ* → 3 jets:: the non-planar topologies
T Gehrmann et al.
NUCLEAR PHYSICS B (2001)