\textit{locally}-finite quantities in sYM

DOI10.1007/JHEP04(2021)298zbMath1462.81189arXiv2102.02821OpenAlexW3157924677MaRDI QIDQ2032664

Cameron Langer, Kokkimidis Patatoukos, Jacob L. Bourjaily

Publication date: 11 June 2021

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

Full work available at URL: https://arxiv.org/abs/2102.02821

zbMATH Keywords

scattering amplitudes1/N expansionduality in gauge field theories

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)

Related Items (2)

Illustrations of integrand-basis building at two loops ⋮ Integrands of less-supersymmetric Yang-Mills at one loop

Uses Software

• BlackHat
• two loop amplitudes
• positroids

Cites Work

• Unnamed Item
• The four-loop remainder function and multi-Regge behavior at NNLLA in planar \( \mathcal{N} = 4\) super-Yang-Mills theory
• Scattering into the fifth dimension of \(\mathcal{N} = 4\) super Yang-Mills
• Dual conformal symmetry of 1-loop NMHV amplitudes in \( \mathcal{N} = 4 \) SYM theory
• The Grassmannian origin of dual superconformal invariance
• A duality for the S matrix
• Thermodynamic bubble ansatz
• Unification of residues and Grassmannian dualities
• The all-loop integrand for scattering amplitudes in planar \({\mathcal N} = 4\) SYM
• Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
• Dual superconformal symmetry of scattering amplitudes in \({\mathcal N}=4\) super-Yang-Mills theory
• Superconformal invariants for scattering amplitudes in \({\mathcal N}=4\) SYM theory
• Prescriptive unitarity
• Hexagon functions and the three-loop remainder function
• New recursion relations for tree amplitudes of gluons
• Generalized unitarity and one-loop amplitudes in \(\mathcal N=1\) super-Yang-Mills
• Multi-loop positivity of the planar \(\mathcal{N} = 4 \) SYM six-point amplitude
• Heptagons from the Steinmann cluster bootstrap
• Local integrals for planar scattering amplitudes
• Generalized unitarity for \(N=4\) super-amplitudes
• One-loop \(n\)-point gauge theory amplitudes, unitarity and collinear limits.
• Dimensionally-regulated pentagon integrals
• Analytic result for the two-loop six-point NMHV amplitude in \(\mathcal{N} = {4}\) super Yang-Mills theory
• Six-gluon amplitudes in planar \(\mathcal{N} = 4\) super-Yang-Mills theory at six and seven loops
• Prescriptive unitarity for non-planar six-particle amplitudes at two loops
• The cosmic Galois group and extended Steinmann relations for planar \(\mathcal{N} = 4\) SYM amplitudes
• Manifestly dual-conformal loop integration
• The two-loop hexagon Wilson loop in \(\mathcal{N}=4\) SYM
• Positive amplitudes in the amplituhedron
• Local integrand representations of all two-loop amplitudes in planar SYM
• Building bases of loop integrands
• Grassmannian Geometry of Scattering Amplitudes

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