Algebraic Structure of Cut Feynman Integrals and the Diagrammatic Coaction

On the maximal cut of Feynman integrals and the solution of their differential equations

(2017) Amedeo Primo et al.   NUCLEAR PHYSICS B

Cuts from residues: the one-loop case

(2017) Samuel Abreu et al.   JOURNAL OF HIGH ENERGY PHYSICS

A non-planar two-loop three-point function beyond multiple polylogarithms

(2017) Andreas von Manteuffel et al.   JOURNAL OF HIGH ENERGY PHYSICS

Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$

(2017) Francis C. S. Brown   ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE

MPL—A program for computations with iterated integrals on moduli spaces of curves of genus zero

(2016) Christian Bogner   COMPUTER PHYSICS COMMUNICATIONS

The iterated structure of the all-order result for the two-loop sunrise integral

(2016) Luise Adams et al.   JOURNAL OF MATHEMATICAL PHYSICS

The kite integral to all orders in terms of elliptic polylogarithms

(2016) Luise Adams et al.   JOURNAL OF MATHEMATICAL PHYSICS

Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral

(2016) Ettore Remiddi et al.   NUCLEAR PHYSICS B

Bootstrapping a Five-Loop Amplitude Using Steinmann Relations

(2016) Simon Caron-Huot et al.   PHYSICAL REVIEW LETTERS

Hopf algebras and Dyson–Schwinger equations

(2016) Stefan Weinzierl   Frontiers of Physics

A Feynman integral via higher normal functions

(2015) Spencer Bloch et al.   COMPOSITIO MATHEMATICA

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

(2015) Erik Panzer   COMPUTER PHYSICS COMMUNICATIONS

The two-loop sunrise integral around four space-time dimensions and generalisations of the Clausen and Glaisher functions towards the elliptic case

(2015) Luise Adams et al.   JOURNAL OF MATHEMATICAL PHYSICS

The elliptic dilogarithm for the sunset graph

(2015) Spencer Bloch et al.   JOURNAL OF NUMBER THEORY

Feynman integrals and iterated integrals on moduli spaces of curves of genus zero

(2015) Christian Bogner et al.   Communications in Number Theory and Physics

Cuts and coproducts of massive triangle diagrams

(2015) Samuel Abreu et al.   JOURNAL OF HIGH ENERGY PHYSICS

The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms

(2014) Luise Adams et al.   JOURNAL OF MATHEMATICAL PHYSICS

Calculating massive 3-loop graphs for operator matrix elements by the method of hyperlogarithms

(2014) Jakob Ablinger et al.   NUCLEAR PHYSICS B

From multiple unitarity cuts to the coproduct of Feynman integrals

(2014) Samuel Abreu et al.   JOURNAL OF HIGH ENERGY PHYSICS

The two-loop sunrise graph with arbitrary masses

(2013) Luise Adams et al.   JOURNAL OF MATHEMATICAL PHYSICS

Multiloop Integrals in Dimensional Regularization Made Simple

(2013) Johannes M. Henn   PHYSICAL REVIEW LETTERS

From polygons and symbols to polylogarithmic functions

(2012) Claude Duhr et al.   JOURNAL OF HIGH ENERGY PHYSICS

Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes

(2012) Claude Duhr   JOURNAL OF HIGH ENERGY PHYSICS

Uniqueness of two-loop master contours

(2012) Simon Caron-Huot et al.   JOURNAL OF HIGH ENERGY PHYSICS

Pulling the straps of polygons

(2011) Davide Gaiotto et al.   JOURNAL OF HIGH ENERGY PHYSICS

Space–time dimensionality as complex variable: Calculating loop integrals using dimensional recurrence relation and analytical properties with respect to

(2010) R.N. Lee   NUCLEAR PHYSICS B

Classical Polylogarithms for Amplitudes and Wilson Loops

(2010) A. B. Goncharov et al.   PHYSICAL REVIEW LETTERS

The Massless Higher-Loop Two-Point Function

(2009) Francis Brown   COMMUNICATIONS IN MATHEMATICAL PHYSICS

HypExp 2, Expanding hypergeometric functions about half-integer parameters

(2008) Tobias Huber et al.   COMPUTER PHYSICS COMMUNICATIONS