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Dual conformal invariance for form factors

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arxiv 1812.10468 v2 pith:GVXDWPUL submitted 2018-12-21 hep-th

Dual conformal invariance for form factors

classification hep-th
keywords conformaldualformamplitudescasefactorsnmhvanomaly
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Form factors of the stress-tensor multiplet operator in $\mathcal{N}=4$ supersymmetric Yang-Mills reveal surprisingly simple structures similar to those appearing in scattering amplitudes. In this paper we show that, as for the case of amplitudes, they also enjoy dual conformal symmetry. We compute the dual conformal anomaly at one loop for an arbitrary number of particles and generic helicities, which matches the expression of the dual conformal anomaly of amplitudes, and perform explicit checks for MHV and NMHV one-loop form factors. In the NMHV case the realisation of dual conformal symmetry requires a delicate cancellation of offending terms arising from three-mass triangles, which we explicitly check in the case of the four-point NMHV form factor.

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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.