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Bootstrapping two-loop QCD amplitudes

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arxiv 2302.00770 v5 pith:4RMSGCGF submitted 2023-02-01 hep-th

Kevin J. Costello This is my paper · ORCID
classification hep-th
keywords amplitudesgaugemethodtheoryappliedbootstrapcertainfactors
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Form factors of self-dual gauge theory are equal to correlators of an (extended) celestial chiral algebra. This suggests that these form factors can be computed using the "bootstrap" method familiar from 2d CFTs. The method can also be applied to certain QCD amplitudes, which are built from form-factors of self-dual gauge theory. In this paper this bootstrap method is applied to compute two-loop all-plus QCD amplitudes, for $SU(N)$ gauge theory with certain special matter content. A closed formula is presented for all single-trace 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. Schwarzschild black holes from twistor space

    hep-th 2026-07 conditional novelty 8.0 of 10

    The Schwarzschild metric is derived as a Kähler metric on a holomorphic 'coincidence locus' within the twistor space of self-dual Taub-NUT, solving the googly problem for this specific spacetime.

  2. S-algebra in Gauge Theory: Twistor, Spacetime and Holographic Perspectives

    hep-th 2025-06 conditional novelty 7.0 of 10

    The celestial S-algebra is shown to unify the twistor, null-infinity, and twisted-holography descriptions of self-dual Yang-Mills, with new two-helicity charges and a nonlinear extrapolate dictionary.

  3. Serendipitous Syzygies of Scattering Amplitudes

    hep-th 2025-05 accept novelty 7.0 of 10

    For rational gluon amplitudes (one-loop all-plus and tree-level MHV), all (n-1)!/2 color-ordered partial amplitudes are determined by just two independent functions via polynomial syzygies.

  4. Celestial Chiral Algebras and Self-Dual Gravity

    hep-th 2025-07 conditional novelty 4.0 of 10

    This thesis derives deformations of celestial chiral algebras in self-dual gravity on curved backgrounds, obtaining W(infinity) on Eguchi-Hanson space, Ldiff_q(C) under Moyal deformation, and a two-parameter deformati...

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