Cluster functions and scattering amplitudes for six and seven points

DOI10.1007/JHEP07(2017)016zbMath1380.81402arXiv1512.07910MaRDI QIDQ1696223

Marcus Spradlin, Thomas Harrington

Publication date: 14 February 2018

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

Full work available at URL: https://arxiv.org/abs/1512.07910

zbMATH Keywords

scattering amplitudessupersymmetric gauge theory

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) (2)-body potential quantum scattering theory (81U05)

Related Items (11)

Bootstrapping two-loop Feynman integrals for planar \( \mathcal{N}=4 \) sYM ⋮ Boundaries of amplituhedra and NMHV symbol alphabets at two loops ⋮ The Sklyanin bracket and cluster adjacency at all multiplicity ⋮ A study of Feynman integrals with uniform transcendental weights and their symbology ⋮ Cluster algebras and the subalgebra constructibility of the seven-particle remainder function ⋮ All two-loop MHV remainder functions in multi-Regge kinematics ⋮ Six-gluon amplitudes in planar \(\mathcal{N} = 4\) super-Yang-Mills theory at six and seven loops ⋮ A note on one-loop cluster adjacency in \(\mathcal{N} = 4\) SYM ⋮ Yangian invariants and cluster adjacency in \(\mathcal{N} = 4\) Yang-Mills ⋮ The cosmic Galois group and extended Steinmann relations for planar \(\mathcal{N} = 4\) SYM amplitudes ⋮ The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond

Cites Work

• The four-loop remainder function and multi-Regge behavior at NNLLA in planar \( \mathcal{N} = 4\) super-Yang-Mills theory
• Cluster algebras and the positive Grassmannian
• Eliminating spurious poles from gauge-theoretic amplitudes
• Counting BPS operators in gauge theories: quivers, syzygies and plethystics
• Hexagon functions and the three-loop remainder function
• Jumpstarting the all-loop S-matrix of planar \( \mathcal{N} = {4} \) super Yang-Mills
• Bootstrapping the three-loop hexagon
• Superconformal symmetry and two-loop amplitudes in planar \(\mathcal{N} = {4}\) super Yang-Mills
• Pulling the straps of polygons
• Analytic result for the two-loop six-point NMHV amplitude in \(\mathcal{N} = {4}\) super Yang-Mills theory
• Galois symmetries of fundamental groupoids and noncommutative geometry
• Hedgehog bases for \(A_{n}\) cluster polylogarithms and an application to six-point amplitudes
• Cluster polylogarithms for scattering amplitudes
• GRASSMANNIANS AND CLUSTER ALGEBRAS
• Cluster Ensembles, Quantization and the Dilogarithm II: The Intertwiner
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