All-Multiplicity Non-Planar MHV Amplitudes in sYM at Two Loops

Abstract

We give a closed-form, prescriptive representation of all-multiplicity two-loop MHV amplitude integrands in fully-color-dressed (non-planar) maximally supersymmetric Yang-Mills theory.

arXiv commentCorrected a sign mistake for the pentabox numerators (table IV). Minor improvements and references added in v2. 4+3 pages, 22 figures, 4 tables, infinity of new amplitudes. Ancillary files contain a Mathematica implementation of our result

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Cited by in corpus (24)

• Collider Physics at the Precision Frontier
• Structure of two-loop SMEFT anomalous dimensions via on-shell methods
• Implications of the Landau Equations for Iterated Integrals
• Two-loop leading-color helicity amplitudes for three-photon production at the LHC
• MHV scattering of gluons and gravitons in chiral strong fields
• Locally finite two-loop amplitudes for off-shell multi-photon production in electron-positron annihilation
• All-Mass $n$-gon Integrals in $n$ Dimensions
• Building Bases of Loop Integrands
• Perfecting one-loop BCJ numerators in SYM and supergravity
• Prescriptive Unitarity with Elliptic Leading Singularities
• The Full Color Two-Loop Six-Gluon All-Plus Helicity Amplitude
• The Two-Loop Remainder Function for Eight and Nine Particles
• An Elliptic Yangian-Invariant, `Leading Singularity'
• Towards the Gravituhedron: New Expressions for NMHV Gravity Amplitudes
• An Infinite Family of Elliptic Ladder Integrals
• Non-planar BCFW Grassmannian Geometries
• Poles At Infinity in On-shell Diagrams
• A nice two-loop next-to-next-to-MHV amplitude in $\mathcal{N}=4$ super-Yang-Mills
• A Novel Algorithm for Nested Summation and Hypergeometric Expansions
• Illustrations of Integrand-Basis Building at Two Loops
• All Two-Loop, Color-Dressed, Six-Point Amplitude Integrands in sYM
• Locally Finite Observables in sYM
• Integrands of Less-Supersymmetric Yang-Mills at One Loop
• The Stratification of Rigidity