{"paper":{"title":"Quantum graviton scattering with definite helicities in the null surface formulation, Part II: Third-order scattering and the exchange channels \\author{C.~N.~Kozameh \\and G.~O.~Depaola}","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Carlos Kozameh, Gerardo Depaola","submitted_at":"2026-05-19T12:38:12Z","abstract_excerpt":"We compute the third-order Bondi shear $\\sigma^+_3$ in the null\n  surface formulation (NSF) of general relativity with definite\n  graviton helicities. The quantum operator $\\daout{3,\\pm}$ is\n  derived explicitly in terms of the four helicity channels\n  (I)--(IV) of the scattering equation, and compared with the\n  helicity-summed result of Ref.~\\cite{PRL2026}.\n  Applied to two-graviton scattering, the contribution\n  $\\langle\\daout{3,+}\\,\\daout{3,-}\\rangle$ for the process\n  $h^+(K_1)+h^-(K_2)\\to h^+(K'_3)+h^-(K'_4)$ generates\n  simultaneously the $t$- and $u$-channel poles of the\n  tree-level g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.19764","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.19764/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}