The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond (Q5878297)

scientific article; zbMATH DE number 7655505

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English	The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond	scientific article; zbMATH DE number 7655505

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instance of

scholarly article

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title

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

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author

Georgios Papathanasiou

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published in

Journal of Physics A: Mathematical and Theoretical

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publication date

20 February 2023

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full work available at URL

https://arxiv.org/abs/2203.13016

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zbMATH Keywords

scattering amplitudes

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gauge theory

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cluster algebras

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cites work

IML - Integer Matrix Library

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Bootstrapping the three-loop hexagon

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Thermodynamic bubble ansatz

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Y-system for scattering amplitudes

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The large $N$ limit of superconformal field theories and supergravity

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

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Hexagon functions and the three-loop remainder function

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Six-gluon amplitudes in planar $\mathcal{N} = 4$ super-Yang-Mills theory at six and seven loops

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Cluster adjacency and the four-loop NMHV heptagon

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Lifting heptagon symbols to functions

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The cosmic Galois group and extended Steinmann relations for planar $\mathcal{N} = 4$ SYM amplitudes

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Bootstrapping the QCD soft anomalous dimension

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Hexagon bootstrap in the double scaling limit

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Analytic two-loop form factors in $ \mathcal{N} = 4 $ SYM

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Bootstrapping two-loop Feynman integrals for planar $ \mathcal{N}=4 $ sYM

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Scattering amplitudes: the most perfect microscopic structures in the universe

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Quantum Field Theory

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Q3407088

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Analytic Form of the Two-Loop Planar Five-Gluon All-Plus-Helicity Amplitude in QCD

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Review of AdS/CFT integrability, chapter V.2: Dual superconformal symmetry

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Conformal properties of four-gluon planar amplitudes and Wilson loops

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Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes

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Constructing the correlation function of four stress-tensor multiplets and the four-particle amplitude in $\mathcal{N}=4$ SYM

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The tropical totally positive Grassmannians

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Algebraic singularities of scattering amplitudes from tropical geometry

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Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry

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Grassmannian Geometry of Scattering Amplitudes

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Multi-loop amplitudes and resummation

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Review of AdS/CFT integrability, chapter III.4: Twist states and the cusp anomalous dimension

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A simple collinear limit of scattering amplitudes at strong coupling

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Iterated path integrals

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Geometry of configurations, polylogarithms, and motivic cohomology

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Multiple polylogarithms, cyclotomy and modular complexes

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Galois symmetries of fundamental groupoids and noncommutative geometry

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

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HARMONIC POLYLOGARITHMS

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Introduction to the GiNaC framework for symbolic computation within the $\text{C}^{++}$ programming language

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An analytic result for the two-loop hexagon Wilson loop in $ \mathcal{N} = 4 $ SYM

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The two-loop hexagon Wilson loop in $\mathcal{N}=4$ SYM

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Cluster algebras I: Foundations

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Cluster algebras. II: Finite type classification

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Cluster algebras. III: Upper bounds and double Bruhat cells.

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Cluster algebras IV: Coefficients

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Framed BPS states

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BPS quivers and spectra of complete $\mathcal N =2$ quantum field theories

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$\mathcal{N}=2$ quantum field theories and their BPS quivers

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Scattering forms and the positive geometry of kinematics, color and the worldsheet

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Superconformal symmetry and two-loop amplitudes in planar $\mathcal{N} = {4}$ super Yang-Mills

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Cluster polylogarithms for scattering amplitudes

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Cluster algebras and the subalgebra constructibility of the seven-particle remainder function

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Cluster functions and scattering amplitudes for six and seven points

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Stringy canonical forms

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Q5340766

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Q5340767

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Singularities and Discontinuities of Feynman Amplitudes

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Yangian invariants and cluster adjacency in $\mathcal{N} = 4$ Yang-Mills

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Weak separation, positivity and extremal Yangian invariants

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Cluster adjacency for $m = 2$ Yangian invariants

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A note on one-loop cluster adjacency in $\mathcal{N} = 4$ SYM

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Comments on all-loop constraints for scattering amplitudes and Feynman integrals

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Pulling the straps of polygons

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A BLAS based C library for exact linear algebra on integer matrices

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SAGE

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An operator product expansion for polygonal null Wilson loops

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Nonsinglet pentagons and NMHV amplitudes

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Fermionic pentagons and NMHV hexagon

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OPE for all helicity amplitudes

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OPE for all helicity amplitudes. II: Form factors and data analysis

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Hexagonal Wilson loops in planar ${ \mathcal N }=4$ SYM theory at finite coupling

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Matrix pentagons

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Evaluating the six-point remainder function near the collinear limit

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Hexagon POPE: effective particles and tree level resummation

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Resummed tree heptagon

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Multichannel conformal blocks for scattering amplitudes

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

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

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

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

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MPL -- a program for computations with iterated integrals on moduli spaces of curves of genus zero

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Non-perturbative geometries for planar $\mathcal{N} = 4$ SYM amplitudes

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Algebraic branch points at all loop orders from positive kinematics and wall crossing

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Tropical fans, scattering equations and amplitudes

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Scattering equations: from projective spaces to tropical Grassmannians

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Scattering of massless particles: scalars, gluons and gravitons

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Q4518980

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Cluster algebras and continued fractions

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Symbol alphabets from tensor diagrams

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Feynman amplitudes, coaction principle, and cosmic Galois group

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New differential equations for on-shell loop integrals

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The Wilson-loop $d$ log representation for Feynman integrals

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\texttt{epsilon}: a tool to find a canonical basis of master integrals

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Fuchsia: a tool for reducing differential equations for Feynman master integrals to epsilon form

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Algorithmic transformation of multi-loop master integrals to a canonical basis with \textit{CANONICA}

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\texttt{Libra}: a package for transformation of differential systems for multiloop integrals

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Rationalizing roots: an algorithmic approach

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RationalizeRoots: software package for the rationalization of square roots

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From polygons and symbols to polylogarithmic functions

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Two-loop QCD corrections to the helicity amplitudes for $H \to 3\;\text{partons}$

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An operator product expansion for form factors. II: Born level

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describes a project that uses

IML - Integer Matrix Library

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polymake

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MaRDI profile type

MaRDI publication profile

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Identifiers

DOI

10.1088/1751-8121/ac7e8e

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5878297