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Hidden Amplitude Zeros From Double Copy

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arxiv 2403.10594 v1 pith:VGLBDE4G submitted 2024-03-15 hep-th

Christoph Bartsch , Taro V. Brown , Karol Kampf , Umut Oktem , Shruti Paranjape , Jaroslav Trnka This is my paper · ORCID
classification hep-th
keywords zerosamplitudeshiddenamplitudeexistencerelationsspecialtheory
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Recently, Arkani-Hamed et al. proposed the existence of zeros in scattering amplitudes in certain quantum field theories including the cubic adjoint scalar theory Tr($\phi^3$), the $SU(N)$ non-linear sigma model (NLSM) and Yang-Mills (YM) theory. These hidden zeros are special kinematic points where the amplitude vanishes and factorizes into a product of lower-point amplitudes, similar to factorization near poles. In this letter, we show a close connection between the existence of such zeros and color-kinematics duality. In fact, all zeros can be derived from the Bern-Carrasco-Johansson (BCJ) relations. We also show that these zeros extend via the Kawai-Lewellen-Tye (KLT) relations to special Galileon amplitudes and their corrections, evincing that these hidden zeros are also present in permutation-invariant amplitudes.

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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. NLSM amplitudes from a quartic two-derivative theory

    hep-th 2026-07 conditional novelty 7.0 of 10

    A two-field scalar theory with a single quartic two-derivative vertex reproduces all planar NLSM tree amplitudes and, up to scaleless terms, all loop integrands.

  2. Analytic Boundaries of Infinite-Spin-Tower Amplitudes from Hidden Zero

    hep-th 2026-07 conditional novelty 7.0 of 10

    The exact analytic boundary of unitary infinite-spin-tower amplitudes is derived and shown to be maximal unless energy poles accumulate.

  3. On differential operators for scalar-scaffolded gluons

    hep-th 2025-12 conditional novelty 6.0 of 10

    Differential operators on scalar-scaffolded variables extract individual phi^3 diagrams from gluon amplitudes, and the independent mixed amplitudes are counted by Catalan numbers.

  4. Soft Factor Structure of MHV Amplitudes for Massless Charged Particles

    hep-th 2025-05 conditional novelty 6.0 of 10

    MHV amplitudes in massless QED are derived in a factorized soft-factor form, with proof by BCFW recursion, extending to scalars, supersymmetry, and gravity up to eight points.

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