Multi-loop positivity of the planar \(\mathcal{N} = 4 \) SYM six-point amplitude

DOI10.1007/JHEP02(2017)112zbMath1377.81101arXiv1611.08325MaRDI QIDQ1692865

Andrew J. McLeod, Matt von Hippel, Jaroslav Trnka, Lance J. Dixon

Publication date: 10 January 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.08325

zbMATH Keywords

scattering amplitudessupersymmetric gauge theory\(1/N\) expansion

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13)

Related Items (24)

Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space ⋮ The Sklyanin bracket and cluster adjacency at all multiplicity ⋮ Poles at infinity in on-shell diagrams ⋮ The ABJM Amplituhedron ⋮ Rooting out letters: octagonal symbol alphabets and algebraic number theory ⋮ Conformally-regulated direct integration of the two-loop heptagon remainder ⋮ Feynman integrals from positivity constraints ⋮ Loop-by-loop differential equations for dual (elliptic) Feynman integrals ⋮ An infinite family of elliptic ladder integrals ⋮ Symbology for elliptic multiple polylogarithms and the symbol prime ⋮ Spherical contours, IR divergences and the geometry of Feynman parameter integrands at one loop ⋮ All-mass \(n\)-gon integrals in \(n\) dimensions ⋮ Cluster algebras and the subalgebra constructibility of the seven-particle remainder function ⋮ Unwinding the amplituhedron in binary ⋮ Six-gluon amplitudes in planar \(\mathcal{N} = 4\) super-Yang-Mills theory at six and seven loops ⋮ Positive geometry, local triangulations, and the dual of the amplituhedron ⋮ Sequential discontinuities of Feynman integrals and the monodromy group ⋮ Rationalizing loop integration ⋮ Yangian invariants and cluster adjacency in \(\mathcal{N} = 4\) Yang-Mills ⋮ \textit{locally}-finite quantities in sYM ⋮ The cosmic Galois group and extended Steinmann relations for planar \(\mathcal{N} = 4\) SYM amplitudes ⋮ Nonperturbative negative geometries: amplitudes at strong coupling and the amplituhedron ⋮ Pentagon Wilson loop with Lagrangian insertion at two loops in \(\mathcal{N} = 4\) super Yang-Mills theory ⋮ Bootstrapping a stress-tensor form factor through eight loops

Uses Software

• GiNaC
• HPL

Cites Work

• The four-loop remainder function and multi-Regge behavior at NNLLA in planar \( \mathcal{N} = 4\) super-Yang-Mills theory
• From the holomorphic Wilson loop to `d log' loop-integrands of super-Yang-Mills amplitudes.
• A simple construction of Grassmannian polylogarithms
• Thermodynamic bubble ansatz
• The multiple zeta value data mine
• Dual superconformal symmetry of scattering amplitudes in \({\mathcal N}=4\) super-Yang-Mills theory
• Numerical evaluation of multiple polylogarithms
• HPL, a Mathematica implementation of the harmonic polylogarithms
• An operator product expansion for polygonal null Wilson loops
• Hexagon functions and the three-loop remainder function
• Analytic treatment of the two loop equal mass sunrise graph
• Hexagon Wilson loop = six-gluon MHV amplitude
• Introduction to the GiNaC framework for symbolic computation within the \(\text{C}^{++}\) programming language
• The amplituhedron and the one-loop Grassmannian measure
• Towards the amplituhedron volume
• The \(m=1\) amplituhedron and cyclic hyperplane arrangements
• The amplituhedron from momentum twistor diagrams
• Anatomy of the amplituhedron
• Systematics of the cusp anomalous dimension
• The amplituhedron
• What is the simplest quantum field theory?
• Bootstrapping the three-loop hexagon
• Pulling the straps of polygons
• Analytic result for the two-loop six-point NMHV amplitude in \(\mathcal{N} = {4}\) super Yang-Mills theory
• A second-order differential equation for the two-loop sunrise graph with arbitrary masses
• Positive amplitudes in the amplituhedron
• Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$
• Iterated path integrals
• HARMONIC POLYLOGARITHMS
• Unnamed Item
• Unnamed Item

This page was built for publication: Multi-loop positivity of the planar \(\mathcal{N} = 4 \) SYM six-point amplitude