{"paper":{"title":"Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Two-loop amplitudes for self-dual Higgs with positive helicity gluons are computed via unitarity cut constraints.","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Christian Biello, Colomba Brancaccio, Federico Ripani, Simon Badger","submitted_at":"2025-11-14T18:17:33Z","abstract_excerpt":"We present the two-loop amplitudes for a self-dual Higgs boson with up to four positive helicity gluons in the heavy top-quark limit. Because the tree amplitudes in the all-plus sector vanish, we can construct simple representations of the polylogarithmic parts of the two-loop amplitudes using four-dimensional unitarity cuts into rational one-loop and tree amplitudes. The remaining rational function ambiguity is extracted from a tensor integral reduction over finite fields. The final expressions are presented using polylogarithms up to weight two and compact rational functions of spinor-helici"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We present the two-loop amplitudes for a self-dual Higgs boson with up to four positive helicity gluons in the heavy top-quark limit... The final expressions are presented using polylogarithms up to weight two and compact rational functions of spinor-helicity products.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"Because the tree amplitudes in the all-plus sector vanish, we can construct simple representations of the polylogarithmic parts of the two-loop amplitudes using four-dimensional unitarity cuts into rational one-loop and tree amplitudes.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Two-loop all-plus helicity amplitudes for self-dual Higgs plus gluons are obtained via four-dimensional unitarity cuts into one-loop and tree amplitudes plus finite-field tensor reduction.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Two-loop amplitudes for self-dual Higgs with positive helicity gluons are computed via unitarity cut constraints.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"f8266e3696dbf350a7592e885604e6c06dac0a4a5f837f02deea473f3fd8dea1"},"source":{"id":"2511.11537","kind":"arxiv","version":2},"verdict":{"id":"37bc04d7-3385-4034-8f42-5700fefe23ba","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-17T21:56:58.501115Z","strongest_claim":"We present the two-loop amplitudes for a self-dual Higgs boson with up to four positive helicity gluons in the heavy top-quark limit... The final expressions are presented using polylogarithms up to weight two and compact rational functions of spinor-helicity products.","one_line_summary":"Two-loop all-plus helicity amplitudes for self-dual Higgs plus gluons are obtained via four-dimensional unitarity cuts into one-loop and tree amplitudes plus finite-field tensor reduction.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"Because the tree amplitudes in the all-plus sector vanish, we can construct simple representations of the polylogarithmic parts of the two-loop amplitudes using four-dimensional unitarity cuts into rational one-loop and tree amplitudes.","pith_extraction_headline":"Two-loop amplitudes for self-dual Higgs with positive helicity gluons are computed via unitarity cut constraints."},"references":{"count":121,"sample":[{"doi":"","year":2004,"title":"MHV Rules for Higgs Plus Multi-Gluon Amplitudes","work_id":"f6f30c82-9ad7-4780-ae18-1986af46cca4","ref_index":1,"cited_arxiv_id":"hep-th/0411092","is_internal_anchor":true},{"doi":"","year":2006,"title":"One-loop helicity amplitudes for H -> gluons: the all-minus configuration","work_id":"4112c204-1b53-460b-bd5e-fe8a89170ecd","ref_index":2,"cited_arxiv_id":"hep-ph/0607139","is_internal_anchor":true},{"doi":"","year":2006,"title":"Recursive Construction of Higgs-Plus-Multiparton Loop Amplitudes: The Last of the Phi-nite Loop Amplitudes","work_id":"3492ed77-c5cd-46b9-aa48-17471ba5cee9","ref_index":3,"cited_arxiv_id":"hep-ph/0608180","is_internal_anchor":true},{"doi":"","year":2007,"title":"One-loop phi-MHV amplitudes using the unitarity bootstrap","work_id":"a581019b-89de-4439-b689-fc848437f9cc","ref_index":4,"cited_arxiv_id":"0704.3914","is_internal_anchor":true},{"doi":"","year":2010,"title":"One-loop Higgs plus four gluon amplitudes: Full analytic results","work_id":"aa0125e0-046a-4671-b1fd-542f106ac2e3","ref_index":5,"cited_arxiv_id":"0909.4475","is_internal_anchor":true}],"resolved_work":121,"snapshot_sha256":"06e3b5767982c5e18812a353668075b8f118ed9f7e068023f544288cf88764b4","internal_anchors":40},"formal_canon":{"evidence_count":1,"snapshot_sha256":"e705e782a8372164020fe81a5cd73a91cf3e2dca636754b46d0078dd37cd78ab"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}