Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case
type: Item
instance of: scholarly article
title: Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case
zbMATH Open document ID: 1383.81321
DOI: 10.1007/JHEP12(2017)090
author: Samuel Abreu
author: Claude Duhr
author: Einan Gardi
author: Ruth Britto
published in: Journal of High Energy Physics
publication date: 2018-04-03T00:00:00Z
full work available at URL: https://arxiv.org/abs/1704.07931
Mathematics Subject Classification ID: 81U05
Mathematics Subject Classification ID: 81V05
Mathematics Subject Classification ID: 81Q30
zbMATH DE Number: 6855524
zbMATH Keywords: scattering amplitudes
zbMATH Keywords: perturbative QCD
Wikidata QID: Q56226577
MaRDI profile type: Publication
arXiv ID: 1704.07931
cites work: Volumes of hyperbolic manifolds and mixed Tate motives
cites work: Galois symmetries of fundamental groupoids and noncommutative geometry
cites work: The massless higher-loop two-point function
cites work: Calculating massive 3-loop graphs for operator matrix elements by the method of hyperlogarithms
cites work: Feynman integrals and iterated integrals on moduli spaces of curves of genus zero
cites work: Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
cites work: MPL -- a program for computations with iterated integrals on moduli spaces of curves of genus zero
cites work: The two-loop sunrise graph with arbitrary masses
cites work: The elliptic dilogarithm for the sunset graph
cites work: A Feynman integral via higher normal functions
cites work: The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms
cites work: The two-loop sunrise integral around four space-time dimensions and generalisations of the Clausen and Glaisher functions towards the elliptic case
cites work: The iterated structure of the all-order result for the two-loop sunrise integral
cites work: Local mirror symmetry and the sunset Feynman integral
cites work: The kite integral to all orders in terms of elliptic polylogarithms
cites work: Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral
cites work: On the maximal cut of Feynman integrals and the solution of their differential equations
cites work: Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph
cites work: On the decomposition of motivic multiple zeta values
cites work: Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes
cites work: Hopf algebras, renormalization and noncommutative geometry
cites work: Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
cites work: On the Hopf algebra strucutre of perturbative quantum field theories
cites work: Recursive relations in the core Hopf algebra
cites work: Q3001484
cites work: On motives associated to graph polynomials
cites work: Notes on motivic periods
cites work: The Galois coaction on \(\phi^4\) periods
cites work: Feynman amplitudes, coaction principle, and cosmic Galois group
cites work: From multiple unitarity cuts to the coproduct of Feynman integrals
cites work: Cuts and coproducts of massive triangle diagrams
cites work: On analytic properties of vertex parts in quantum field theory
cites work: Singularities and Discontinuities of Feynman Amplitudes
cites work: Q5515309
cites work: Q5515310
cites work: Cuts from residues: the one-loop case
cites work: High-precision calculation of multiloop Feynman integrals by difference equations
cites work: Connection between Feynman integrals having different values of the space-time dimension
cites work: Dimensionally-regulated pentagon integrals
cites work: Space-time dimensionality \(\mathcal D\) as complex variable: calculating loop integrals using dimensional recurrence relation and analytical properties with respect to \(\mathcal D\)
cites work: The one-loop six-dimensional hexagon integral and its relation to MHV amplitudes in \( \mathcal{N} = 4 \) SYM
cites work: The one-loop one-mass hexagon integral in \(D = 6\) dimensions
cites work: Symbols of one-loop integrals from mixed Tate motives
cites work: One-loop pentagon integral in \(d\) dimensions from differential equations in \(\epsilon\)-form
cites work: Singularities of the Second Type
cites work: Cuts of Feynman integrals in Baikov representation
cites work: Differential equations on unitarity cut surfaces
cites work: Maximal cuts in arbitrary dimension
cites work: A note on polytopes for scattering amplitudes
cites work: New method of massive \(N\)-point Feynman diagrams calculation
cites work: Differential equations for two-loop four-point functions.
cites work: Multiple polylogarithms, cyclotomy and modular complexes
cites work: Three-mass triangle integrals and single-valued polylogarithms
cites work: Pulling the straps of polygons
cites work: More loops and legs in Higgs-regulated \(\mathcal{N} = 4\) SYM amplitudes
cites work: Dual conformal symmetry at loop level: massive regularization
cites work: Iterative structure of finite loop integrals
cites work: Applications of an isotopy theorem
cites work: Leading singularities and off-shell conformal integrals

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case (cites work)
cites work: Generalised ladders and single-valued polylogs

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case (cites work)
cites work: Hexagon functions and the three-loop remainder function

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case (cites work)
cites work: The four-loop remainder function and multi-Regge behavior at NNLLA in planar \( \mathcal{N} = 4\) super-Yang-Mills theory

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case (cites work)
cites work: Landau singularities and symbology: one- and two-loop MHV amplitudes in SYM theory

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case (cites work)
cites work: Iterated path integrals

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case (cites work)
cites work: A simple construction of Grassmannian polylogarithms

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case (cites work)
cites work: Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case (cites work)
cites work: From polygons and symbols to polylogarithmic functions

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case (cites work)
cites work: Coalgebras and Bialgebras in Combinatorics

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case (cites work)
cites work: Incidence Hopf algebras

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case (cites work)
cites work: Antipodes and incidence coalgebras

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case (cites work)
cites work: Projectors, shadows, and conformal blocks

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case (OpenAlex ID)
OpenAlex ID: W2608389474

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case (Recommended article)
Recommended article: The Hopf algebra approach to Feynman diagram calculations
Similarity Score: 0.92249066
Recommender Run: Recommender Run 3

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case (Recommended article)
Recommended article: The Hopf algebra of Feynman graphs in quantum electrodynamics
Similarity Score: 0.90257484
Recommender Run: Recommender Run 3

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case (Recommended article)
Recommended article: Q5702566
Similarity Score: 0.88168705
Recommender Run: Recommender Run 3

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case (Recommended article)
Recommended article: Algebraic reduction of one-loop Feynman graph amplitudes
Similarity Score: 0.8811994
Recommender Run: Recommender Run 3

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case (Recommended article)
Recommended article: Feynman graph generation and calculations in the Hopf algebra of Feynman graphs
Similarity Score: 0.8805667
Recommender Run: Recommender Run 3

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case (Recommended article)
Recommended article: Q4534586
Similarity Score: 0.8786209
Recommender Run: Recommender Run 3

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case (Recommended article)
Recommended article: From local perturbation theory to Hopf and Lie algebras of Feynman graphs
Similarity Score: 0.8782742
Recommender Run: Recommender Run 3

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case (Recommended article)
Recommended article: Feynman diagrams and their algebraic lattices
Similarity Score: 0.8743378
Recommender Run: Recommender Run 3

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case (Recommended article)
Recommended article: The structure of renormalization Hopf algebras for gauge theories. I: Representing Feynman graphs on BV-algebras
Similarity Score: 0.8681887
Recommender Run: Recommender Run 3