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Generalized Cuts of Feynman Integrals in Parameter Space

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arxiv 2305.15369 v2 pith:KEJ4E5SS submitted 2023-05-24 hep-th

Ruth Britto This is my paper · ORCID
classification hep-th
keywords cutsfeynmanboundarydomaingeneralizedintegralsintegrationapplications
verification ladder T0 review T1 audit T2 compute T3 formal
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We propose a construction of generalized cuts of Feynman integrals as an operation on the domain of the Feynman parametric integral. A set of on-shell conditions removes the corresponding boundary components of the integration domain, in favor of including a boundary component from the second Symanzik polynomial. Hence integration domains are full-dimensional spaces with finite volumes, rather than being localized around poles. As initial applications, we give new formulations of maximal cuts, and we provide a simple derivation of a certain linear relation among cuts from the inclusion-exclusion principle.

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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. Positive Integrands from Feynman Integrals in the Minkowski Regime

    hep-ph 2025-06 conditional novelty 7.0 of 10

    A method for converting Minkowski-regime Feynman parameter integrals into sums of real, positive integrands with complex prefactors, eliminating contour deformation and speeding up numerical evaluation.

  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. New Tools in the Landau Bootstrap

    hep-th 2026-07 conditional novelty 6.0 of 10

    Certain Feynman-integral discontinuities are 'non-repeating' (a second cut at the same singularity always vanishes), and certain 'Lefschetz-unique' discontinuities are independent of the order of prior cuts.

  4. Extracting light-cone wave functions from covariant amplitudes: a detailed study in scalar field theory

    hep-th 2025-12 conditional novelty 6.0 of 10

    A conjectured mapping from covariant amplitudes to light-cone wave functions in scalar φ^3 theory is verified at one loop against light-cone perturbation theory.

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