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Surfaceology for Colored Yukawa Theory

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arxiv 2406.04411 v2 pith:THYQMJ5G submitted 2024-06-06 hep-th

Shounak De , Andrzej Pokraka , Marcos Skowronek , Marcus Spradlin , Anastasia Volovich This is my paper · ORCID
classification hep-th
keywords coloredamplitudescombinatorialcurveformalismformulaintegraltheories
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

Arkani-Hamed and collaborators have recently shown that scattering amplitudes for colored theories can be expressed as integrals over combinatorial objects simply constructed from surfaces decorated by kinematic data. In this paper we extend the curve integral formalism to theories with colored fermionic matter and present a compact formula for the all-loop, all-genus, all-multiplicity amplitude integrand of a colored Yukawa theory. The curve integral formalism makes certain properties of the amplitudes manifest and repackages non-trivial numerators into a single combinatorial object. We also present an efficient formula for $L$-loop integrated amplitudes in terms of a sum over $2^L$ combinatorial determinants.

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Cited by 4 Pith papers

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  1. Form factors from string amplitudes

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    A bosonic string disk amplitude with one closed and many open strings is proposed as a UV completion of tree-level form factors in scalar and Yang-Mills theories.

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    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.

  3. All zeros of (super)String Theory

    hep-th 2025-06 conditional novelty 6.0 of 10

    Scaffolding from the tachyon to higher-level string states preserves and extends the hidden zeros of string amplitudes, with extra supersymmetric zeros from the superstring.

  4. On the New Factorizations of Yang-Mills Amplitudes

    hep-th 2024-12 conditional novelty 6.0 of 10

    Tree-level Yang-Mills amplitudes factorize into gluings of lower-point amplitudes when a rectangular set of Mandelstam variables vanishes, and this paper gives a rigorous CHY-based proof.

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