The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond
type: Item
instance of: scholarly article
title: The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond
author: Georgios Papathanasiou
published in: Journal of Physics A: Mathematical and Theoretical
publication date: 2023-02-20T00:00:00Z
full work available at URL: https://arxiv.org/abs/2203.13016
Mathematics Subject Classification ID: 81-XX
Mathematics Subject Classification ID: 17-XX
zbMATH DE Number: 7655505
zbMATH Keywords: scattering amplitudes
zbMATH Keywords: gauge theory
zbMATH Keywords: cluster algebras
cites work: IML - Integer Matrix Library
cites work: Bootstrapping the three-loop hexagon
cites work: Thermodynamic bubble ansatz
cites work: Y-system for scattering amplitudes
cites work: The large \(N\) limit of superconformal field theories and supergravity
cites work: Analytic result for the two-loop six-point NMHV amplitude in \(\mathcal{N} = {4}\) super Yang-Mills theory
cites work: Hexagon functions and the three-loop remainder function
cites work: Six-gluon amplitudes in planar \(\mathcal{N} = 4\) super-Yang-Mills theory at six and seven loops
cites work: Cluster adjacency and the four-loop NMHV heptagon
cites work: Lifting heptagon symbols to functions
cites work: The cosmic Galois group and extended Steinmann relations for planar \(\mathcal{N} = 4\) SYM amplitudes
cites work: Bootstrapping the QCD soft anomalous dimension
cites work: Hexagon bootstrap in the double scaling limit
cites work: Analytic two-loop form factors in \( \mathcal{N} = 4 \) SYM
cites work: Bootstrapping two-loop Feynman integrals for planar \( \mathcal{N}=4 \) sYM
cites work: Scattering amplitudes: the most perfect microscopic structures in the universe
cites work: Quantum Field Theory
cites work: Q3407088
cites work: Analytic Form of the Two-Loop Planar Five-Gluon All-Plus-Helicity Amplitude in QCD
cites work: Review of AdS/CFT integrability, chapter V.2: Dual superconformal symmetry
cites work: Conformal properties of four-gluon planar amplitudes and Wilson loops
cites work: Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
cites work: Constructing the correlation function of four stress-tensor multiplets and the four-particle amplitude in \(\mathcal{N}=4\) SYM
cites work: The tropical totally positive Grassmannians
cites work: Algebraic singularities of scattering amplitudes from tropical geometry
cites work: Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry
cites work: Grassmannian geometry of scattering amplitudes
cites work: Multi-loop amplitudes and resummation
cites work: Review of AdS/CFT integrability, chapter III.4: Twist states and the cusp anomalous dimension
cites work: A simple collinear limit of scattering amplitudes at strong coupling
cites work: Iterated path integrals
cites work: Geometry of configurations, polylogarithms, and motivic cohomology
cites work: Multiple polylogarithms, cyclotomy and modular complexes
cites work: Galois symmetries of fundamental groupoids and noncommutative geometry
cites work: Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes
cites work: HARMONIC POLYLOGARITHMS
cites work: Introduction to the GiNaC framework for symbolic computation within the \(\text{C}^{++}\) programming language
cites work: An analytic result for the two-loop hexagon Wilson loop in \( \mathcal{N} = 4 \) SYM
cites work: The two-loop hexagon Wilson loop in \(\mathcal{N}=4\) SYM
cites work: Cluster algebras. I: Foundations
cites work: Cluster algebras. II: Finite type classification
cites work: Cluster algebras. III: Upper bounds and double Bruhat cells.
cites work: Cluster algebras IV: Coefficients
cites work: Framed BPS states
cites work: BPS quivers and spectra of complete \(\mathcal N =2\) quantum field theories
cites work: \(\mathcal{N}=2\) quantum field theories and their BPS quivers
cites work: Scattering forms and the positive geometry of kinematics, color and the worldsheet
cites work: Superconformal symmetry and two-loop amplitudes in planar \(\mathcal{N} = {4}\) super Yang-Mills
cites work: Cluster polylogarithms for scattering amplitudes
cites work: Cluster algebras and the subalgebra constructibility of the seven-particle remainder function
cites work: Cluster functions and scattering amplitudes for six and seven points
cites work: Stringy canonical forms
cites work: Q5340766
cites work: Q5340767
cites work: Singularities and Discontinuities of Feynman Amplitudes
cites work: Yangian invariants and cluster adjacency in \(\mathcal{N} = 4\) Yang-Mills
cites work: Weak separation, positivity and extremal Yangian invariants
cites work: Cluster adjacency for \(m = 2\) Yangian invariants
cites work: A note on one-loop cluster adjacency in \(\mathcal{N} = 4\) SYM
cites work: Comments on all-loop constraints for scattering amplitudes and Feynman integrals
cites work: Pulling the straps of polygons
cites work: A BLAS based C library for exact linear algebra on integer matrices
cites work: SAGE
cites work: An operator product expansion for polygonal null Wilson loops
cites work: Nonsinglet pentagons and NMHV amplitudes
cites work: Fermionic pentagons and NMHV hexagon
cites work: OPE for all helicity amplitudes

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: OPE for all helicity amplitudes. II: Form factors and data analysis

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: Hexagonal Wilson loops in planar \(\mathcal{N}=4\) SYM theory at finite coupling

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: Matrix pentagons

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: Evaluating the six-point remainder function near the collinear limit

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: Hexagon POPE: effective particles and tree level resummation

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: Resummed tree heptagon

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: Multichannel conformal blocks for scattering amplitudes

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: Feynman integrals and iterated integrals on moduli spaces of curves of genus zero

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: Calculating massive 3-loop graphs for operator matrix elements by the method of hyperlogarithms

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: MPL -- a program for computations with iterated integrals on moduli spaces of curves of genus zero

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: Non-perturbative geometries for planar \(\mathcal{N} = 4\) SYM amplitudes

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: Algebraic branch points at all loop orders from positive kinematics and wall crossing

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: Tropical fans, scattering equations and amplitudes

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: Scattering equations: from projective spaces to tropical Grassmannians

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: Scattering of massless particles: scalars, gluons and gravitons

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: polymake: a framework for analyzing convex polytopes

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: Cluster algebras and continued fractions

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: Symbol alphabets from tensor diagrams

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: Feynman amplitudes, coaction principle, and cosmic Galois group

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: New differential equations for on-shell loop integrals

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: The Wilson-loop \(d\) log representation for Feynman integrals

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: \texttt{epsilon}: a tool to find a canonical basis of master integrals

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: Fuchsia: a tool for reducing differential equations for Feynman master integrals to epsilon form

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: Algorithmic transformation of multi-loop master integrals to a canonical basis with \textit{CANONICA}

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: \texttt{Libra}: a package for transformation of differential systems for multiloop integrals

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: Rationalizing roots: an algorithmic approach

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: RationalizeRoots: software package for the rationalization of square roots

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: From polygons and symbols to polylogarithmic functions

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: Two-loop QCD corrections to the helicity amplitudes for \(H \to 3\;\text{partons}\)

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (cites work)
cites work: An operator product expansion for form factors. II: Born level

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (describes a project that uses)
describes a project that uses: IML - Integer Matrix Library

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (describes a project that uses)
describes a project that uses: polymake

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (MaRDI profile type)
MaRDI profile type: Publication

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (OpenAlex ID)
OpenAlex ID: W4286247464

The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (DOI)
DOI: 10.1088/1751-8121/AC7E8E