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Two-loop MHV Form Factors from the Periodic Wilson Loop

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arxiv 2412.17974 v2 pith:RLWO5GCN submitted 2024-12-23 hep-th

Two-loop MHV Form Factors from the Periodic Wilson Loop

classification hep-th
keywords formcomputediagramsfactorsparticletwo-loopperiodicwilson
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We discuss how to compute maximal-helicity-violating (MHV) form factors for the chiral part of the stress-tensor supermultiplet from periodic light-like polygon Wilson loops in planar $\mathcal N=4$ super Yang-Mills theory beyond the one-loop level. We show that the periodicity imposes path ordering on points on different edges, which explains the appearance of square roots coming from non-planar Feynman diagrams. Taking such diagrams into account, we provide the integrand of the two-loop $n$-particle MHV form factor, compute all diagrams, prove the cancellation of divergences and finally compute the two-loop 5-particle and 6-particle form factors as examples.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Bootstrapping the Four-Point NMHV Stress-Tensor Form Factor

    hep-th 2026-05 unverdicted novelty 7.0

    Determines the unique two- and three-loop symbols for the four-point NMHV form factor from an 88-letter alphabet, providing first multi-loop non-MHV data and supporting alphabet universality.