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Solving Scattering in N=4 Super-Yang-Mills Theory

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arxiv 2207.10636 v1 pith:AWKZPI73 submitted 2022-07-21 hep-th hep-ph

classification hep-thhep-ph
keywords theoryscatteringsuper-yang-millsfieldnumberphysicsplanaramplitudes
verification ladder T0 review T1 audit T2 compute T3 formal
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As part of the Snowmass community planning exercise, we highlight an ongoing program of research into the structure of scattering amplitudes in N=4 super-Yang-Mills theory, particularly in the planar limit of a large number of colors. This theory sits at the nexus of a number of exciting topics in high-energy particle physics, including the AdS/CFT correspondence, conformal field theory, integrability, and string theory, and is believed to be exactly solvable in four dimensions. In many ways, planar N=4 super-Yang-Mills theory is the "hydrogen atom" of relativistic scattering: It has proven indispensable for learning about new geometrical formulations of quantum field theory, for exploring mathematical properties at high perturbative orders, and for developing powerful new computational methods that have found applicability in precision collider physics.

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Cited by 5 Pith papers

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    The maximally-transcendental part of planar two-loop six-gluon MHV QCD amplitudes is bootstrapped at symbol level and expressed in a 137-letter alphabet.

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    Boundary structure of negative geometries, combined with Landau analysis, determines physical singularities and yields symbol alphabets for six-point two-loop and five-point three-loop ladder integrals in planar N=4 s...

  3. Double spacelike collinear limits from multi-Regge kinematics

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    hep-th 2026-07 conditional novelty 6.0 of 10

    Certain Feynman-integral discontinuities are 'non-repeating' (a second cut at the same singularity always vanishes), and certain 'Lefschetz-unique' discontinuities are independent of the order of prior cuts.

  5. Five legs @ three loops: slightly off-shell dual conformal integrals

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    Three-loop five-point master integrals in N=4 SYM are evaluated via DCI-preserving regularization, cross-ratio factorization, and selective IBP/HyperInt reduction on 82 regions.

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