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Effective Field Theories on the Jet Bundle

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arxiv 2307.15742 v2 pith:TMTKSR22 submitted 2023-07-28 hep-th hep-ph

classification hep-thhep-ph
keywords fieldgeometrybundlespacecovariantderivativesinvariancetheories
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We develop a generalized field space geometry for higher-derivative scalar field theories, expressing scattering amplitudes in terms of a covariant geometry on the all-order jet bundle. The incorporation of spacetime and field derivative coordinates solves complications due to higher-order derivatives faced by existing approaches to field space geometry. We identify a jet bundle analog to the field space metric that, besides field redefinitions, exhibits invariance under total derivatives. The invariance consequently extends to its amplitude contributions and the canonical covariant geometry.

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Cited by 3 Pith papers

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

  1. Geometry of soft scalars at one loop

    hep-th 2025-04 conditional novelty 8.0 of 10

    The geometric soft theorem for scalar effective field theories is unchanged at one loop in derivative-coupled theories, and receives a universal leading correction when potential interactions are present.

  2. Tame Complexity of Effective Field Theories in the Quantum Gravity Landscape

    hep-th 2026-01 conditional novelty 7.0 of 10

    Effective field theories consistent with quantum gravity are conjectured to have uniformly bounded 'tame complexity', a quantitative measure of the information needed to specify them.

  3. Renormalizing Two-Fermion Operators in the SMEFT via Supergeometry

    hep-ph 2025-04 conditional novelty 6.0 of 10

    A covariant one-loop divergence formula for mixed boson-fermion graphs is derived and applied to dimension-eight two-fermion RGEs in the SMEFT.

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