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The next-to-leading (NLO) and next-to-next-to-leading order (NNLO) terms are computed in closed form, in terms of $\\Gamma$-functions and the hypergeometric functions ${}_{2}F_{1}$ and ${}_{3}F_{2}$. I compute the \\nnnlo\\ terms as Laurent expansions in the dimensional regularization parameter through order $(\\epsilon^{1})$. To obtain the \\nnnlo\\ terms, I perform an"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1312.1296","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-12-04T19:38:13Z","cross_cats_sorted":[],"title_canon_sha256":"86d38bc1d4007b0542c1c64f95ec2c351679a7ce9db6182bc54b099e6639aa72","abstract_canon_sha256":"4a47e539c28363eea0385a34039ace601d66f21b8c8a5704ca45e125828faae6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:53:40.619155Z","signature_b64":"csDkwUe4jmw9GCs6m3QhXicdTdFirhbcQsv+i90N4mHP4XtNNJbgwiotsDGRdF8qit8Q4/BJ/VLTbA1PXSwmCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f33c8dd6bd212bac9d4cb99941c0364af3ee118641c180d71bd6b42d6a810c8","last_reissued_at":"2026-05-18T02:53:40.618590Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:53:40.618590Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"One-Loop Single-Real-Emission Contributions to $pp\\to H + X$ at Next-to-Next-to-Next-to-Leading Order","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"William B. Kilgore","submitted_at":"2013-12-04T19:38:13Z","abstract_excerpt":"I compute the contributions of the one-loop single-real-emission amplitudes, $gg\\to H g$, $qg\\to H q$, etc., to inclusive Higgs boson production through next-to-next-to-next-to-leading order (N^3LO) in the strong coupling $\\alpha_s$. The next-to-leading (NLO) and next-to-next-to-leading order (NNLO) terms are computed in closed form, in terms of $\\Gamma$-functions and the hypergeometric functions ${}_{2}F_{1}$ and ${}_{3}F_{2}$. I compute the \\nnnlo\\ terms as Laurent expansions in the dimensional regularization parameter through order $(\\epsilon^{1})$. 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