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From Feynman diagrams to the amplituhedron: a gentle review

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arxiv 2410.11757 v2 pith:KN6KM4NN submitted 2024-10-15 hep-th

classification hep-th
keywords amplitudesamplituhedrondiagramsfeynmanreviewarticleaudiencebridge
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In this article we review, for a mathematical audience, the computation of (tree-level) scattering amplitudes in Yang-Mills theory in detail, in order to bridge the gap in understanding of the subject between mathematicians and physicists. In particular we demonstrate explicitly how the same formulas for six-particle NMHV helicity amplitudes are obtained from summing Feynman diagrams and from computing the canonical form of the $n=6, k=1, m=4$ amplituhedron.

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  1. Two-loop four-point amplitudes on the Coulomb branch of ${\mathcal{N}}=4$ super Yang-Mills

    hep-th 2025-01 conditional novelty 8.0 of 10

    The subleading Regge-limit exponent of a Coulomb branch four-point amplitude in N=4 SYM matches the anomalous dimension of a cusped Wilson loop with a scalar insertion, known from integrability.

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