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Three-leg form factor on Coulomb branch

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arxiv 2402.18475 v1 pith:EWHDQYG2 submitted 2024-02-28 hep-th hep-ph

A.V. Belitsky , L.V. Bork , J.M. Grumski-Flores , V.A. Smirnov This is my paper · ORCID
classification hep-thhep-ph
keywords formfactorcoulombinfraredmodulioriginpreviousspace
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the form factor of the lowest component of the stress-tensor multiplet away from the origin of the moduli space in the spontaneously broken, aka Coulomb, phase of the maximally supersymmetric Yang-Mills theory for decay into three massive W-bosons. The calculations are done at two-loop order by deriving and solving canonical differential equations in the asymptotical limit of nearly vanishing W-masses. We confirm our previous findings that infrared physics of `off-shell observables' is governed by the octagon anomalous dimension rather than the cusp. In addition, the form factor in question possesses a nontrivial remainder function, which was found to be identical to the massless case, upon a proper subtraction of infrared logarithms (and finite terms). However, the iterative structure of the object is more intricate and is not simply related to the previous orders in coupling as opposed to amplitudes/form factors at the origin of the moduli space.

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Cited by 4 Pith papers

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

  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.

  2. Bootstrapping form factor squared in ${\cal N}=4$ super-Yang-Mills

    hep-th 2025-06 conditional novelty 7.0 of 10

    A bootstrap using soft and collinear limits fixes the tree-level form factor squared in planar N=4 SYM up to N=6, unifying loop integrands from two-point master diagrams.

  3. Collinear anatomy

    hep-th 2024-12 conditional novelty 7.0 of 10

    Derives a collinear factorization formula for near-mass-shell amplitudes in N=4 SYM, including a new ultrasoft correction to the one-loop splitting amplitude.

  4. 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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