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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

Bootstrapping two-loop QCD amplitudes

classification hep-th
keywords amplitudesgaugemethodtheoryappliedbootstrapcertainfactors
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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