From multiple unitarity cuts to the coproduct of Feynman integrals

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

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

(2014) Ettore Remiddi et al.   NUCLEAR PHYSICS B

Magnus and Dyson series for Master Integrals

(2014) Mario Argeri et al.   JOURNAL OF HIGH ENERGY PHYSICS

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

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

The four-loop remainder function and multi-Regge behavior at NNLLA in planar $ \mathcal{N} $ = 4 super-Yang-Mills theory

(2014) Lance J. Dixon et al.   JOURNAL OF HIGH ENERGY PHYSICS

Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms

(2013) Jakob Ablinger et al.   JOURNAL OF MATHEMATICAL PHYSICS

Multiloop Integrals in Dimensional Regularization Made Simple

(2013) Johannes M. Henn   PHYSICAL REVIEW LETTERS

A second-order differential equation for the two-loop sunrise graph with arbitrary masses

(2013) Stefan Müller-Stach et al.   Communications in Number Theory and Physics

Analytic results for two-loop master integrals for Bhabha scattering I

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

Hexagon functions and the three-loop remainder function

(2013) Lance J. Dixon et al.   JOURNAL OF HIGH ENERGY PHYSICS

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

Three-mass triangle integrals and single-valued polylogarithms

(2012) Federico Chavez et al.   JOURNAL OF HIGH ENERGY PHYSICS

Single-valued harmonic polylogarithms and the multi-Regge limit

(2012) Lance J. Dixon et al.   JOURNAL OF HIGH ENERGY PHYSICS

Analytic result for the two-loop six-point NMHV amplitude in $ \mathcal{N} = {4} $ super Yang-Mills theory

(2012) Lance J. Dixon et al.   JOURNAL OF HIGH ENERGY PHYSICS

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

Local integrals for planar scattering amplitudes

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

Uniqueness of two-loop master contours

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

On the generalized harmonic polylogarithms of one complex variable

(2011) R. Bonciani et al.   COMPUTER PHYSICS COMMUNICATIONS

Harmonic sums and polylogarithms generated by cyclotomic polynomials

(2011) Jakob Ablinger et al.   JOURNAL OF MATHEMATICAL PHYSICS

Pulling the straps of polygons

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

Bootstrapping the three-loop hexagon

(2011) Lance J. Dixon et al.   JOURNAL OF HIGH ENERGY PHYSICS

Classical Polylogarithms for Amplitudes and Wilson Loops

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

Periods and Feynman integrals

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

Double-cut of scattering amplitudes and Stokes' Theorem

(2009) Pierpaolo Mastrolia   PHYSICS LETTERS B

HypExp 2, Expanding hypergeometric functions about half-integer parameters

(2008) Tobias Huber et al.   COMPUTER PHYSICS COMMUNICATIONS

Integral coefficients for one-loop amplitudes

(2008) Ruth Britto et al.   JOURNAL OF HIGH ENERGY PHYSICS