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Leading Singularities of the Two-Loop Six-Particle MHV Amplitude

1 Pith paper cite this work. Polarity classification is still indexing.

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abstract

We use the leading singularity technique to determine the planar six-particle two-loop MHV amplitude in N=4 super Yang-Mills in terms of a simple basis of integrals. Our result for the parity even part of the amplitude agrees with the one recently presented in arXiv:0803.1465. The parity-odd part of the amplitude is a new result. The leading singularity technique reduces the determination of the amplitude to finding the solution to a system of linear equations. The system of equations is easily found by computing residues. We present the complete system of equations which determines the whole amplitude, and solve the two-by-two blocks analytically. Larger blocks are solved numerically in order to test the ABDK/BDS iterative structure.

fields

hep-th 1

years

2026 1

verdicts

ACCEPT 1

representative citing papers

From Cosmological Cuts to Yang--Mills Wavefunctions in de Sitter Space

hep-th · 2026-06-24 · accept · novelty 6.5

Tree-level Yang-Mills de Sitter wavefunctions through six points are reconstructed from cosmological cuts into cut-detectable gluings plus a current-conservation completion, matching Feynman rules and suggesting an all-n scalar-tubing structure.

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  • From Cosmological Cuts to Yang--Mills Wavefunctions in de Sitter Space hep-th · 2026-06-24 · accept · none · ref 25 · internal anchor

    Tree-level Yang-Mills de Sitter wavefunctions through six points are reconstructed from cosmological cuts into cut-detectable gluings plus a current-conservation completion, matching Feynman rules and suggesting an all-n scalar-tubing structure.