{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:UXEXXMB27RIEGEQSVPEL6ARHTG","short_pith_number":"pith:UXEXXMB2","schema_version":"1.0","canonical_sha256":"a5c97bb03afc50431212abc8bf022799ba74a524107c2c4295cd268c04d35e82","source":{"kind":"arxiv","id":"2412.14155","version":1},"attestation_state":"computed","paper":{"title":"Towards the HEFT-hedron: the complete set of positivity constraints at NLO","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ex","hep-th"],"primary_cat":"hep-ph","authors_text":"Debsubhra Chakraborty, Rick S. Gupta, Susobhan Chattopadhyay","submitted_at":"2024-12-18T18:50:36Z","abstract_excerpt":"We present the complete set of positivity bounds on the Higgs Effective Field Theory (HEFT) at next-to-leading order (NLO). We identify the 15 operators that can be constrained by positivity, as they contribute to $s^2$-growth in the amplitude for longitudinal gauge-Higgs scattering, that is to all possible 2-to-2 scattering processes involving longitudinal gauge bosons, $V_L = W_L^\\pm, Z_L$, and the Higgs boson, $h$. We find two sets of constraints: (i) specific linear combinations of CP-even Wilson coefficients (WCs) must be positive, and (ii) the magnitudes of some WCs -- including all CP-o"},"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":"2412.14155","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-12-18T18:50:36Z","cross_cats_sorted":["hep-ex","hep-th"],"title_canon_sha256":"81ea3454e2342201a4396a6b8e06a89fd806b66201da73b8972ed15f7b8c0225","abstract_canon_sha256":"5b35ac22f7f83e748da02a81e5c81dfb38921bdc6cc9ddfb40122895cdeb7ccc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:51:14.476656Z","signature_b64":"6cXOG/h0VhwRU2JGkiQD7BvwnuX4TRw1EP5pgmZSm+VJaq1RO1OTOVfgjvjg4eywCZMkAjvnoQNNQpbrFfPCAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5c97bb03afc50431212abc8bf022799ba74a524107c2c4295cd268c04d35e82","last_reissued_at":"2026-07-05T09:51:14.476145Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:51:14.476145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Towards the HEFT-hedron: the complete set of positivity constraints at NLO","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ex","hep-th"],"primary_cat":"hep-ph","authors_text":"Debsubhra Chakraborty, Rick S. Gupta, Susobhan Chattopadhyay","submitted_at":"2024-12-18T18:50:36Z","abstract_excerpt":"We present the complete set of positivity bounds on the Higgs Effective Field Theory (HEFT) at next-to-leading order (NLO). We identify the 15 operators that can be constrained by positivity, as they contribute to $s^2$-growth in the amplitude for longitudinal gauge-Higgs scattering, that is to all possible 2-to-2 scattering processes involving longitudinal gauge bosons, $V_L = W_L^\\pm, Z_L$, and the Higgs boson, $h$. We find two sets of constraints: (i) specific linear combinations of CP-even Wilson coefficients (WCs) must be positive, and (ii) the magnitudes of some WCs -- including all CP-o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.14155","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/2412.14155/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2412.14155","created_at":"2026-07-05T09:51:14.476206+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.14155v1","created_at":"2026-07-05T09:51:14.476206+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.14155","created_at":"2026-07-05T09:51:14.476206+00:00"},{"alias_kind":"pith_short_12","alias_value":"UXEXXMB27RIE","created_at":"2026-07-05T09:51:14.476206+00:00"},{"alias_kind":"pith_short_16","alias_value":"UXEXXMB27RIEGEQS","created_at":"2026-07-05T09:51:14.476206+00:00"},{"alias_kind":"pith_short_8","alias_value":"UXEXXMB2","created_at":"2026-07-05T09:51:14.476206+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.11072","citing_title":"Positivity in Massive Spin-3/2 EFTs and the Planck-Suppressed Neighbourhood of Supergravity","ref_index":42,"is_internal_anchor":false},{"citing_arxiv_id":"2605.11072","citing_title":"Positivity in Massive Spin-3/2 EFTs and the Planck-Suppressed Neighbourhood of Supergravity","ref_index":42,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UXEXXMB27RIEGEQSVPEL6ARHTG","json":"https://pith.science/pith/UXEXXMB27RIEGEQSVPEL6ARHTG.json","graph_json":"https://pith.science/api/pith-number/UXEXXMB27RIEGEQSVPEL6ARHTG/graph.json","events_json":"https://pith.science/api/pith-number/UXEXXMB27RIEGEQSVPEL6ARHTG/events.json","paper":"https://pith.science/paper/UXEXXMB2"},"agent_actions":{"view_html":"https://pith.science/pith/UXEXXMB27RIEGEQSVPEL6ARHTG","download_json":"https://pith.science/pith/UXEXXMB27RIEGEQSVPEL6ARHTG.json","view_paper":"https://pith.science/paper/UXEXXMB2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.14155&json=true","fetch_graph":"https://pith.science/api/pith-number/UXEXXMB27RIEGEQSVPEL6ARHTG/graph.json","fetch_events":"https://pith.science/api/pith-number/UXEXXMB27RIEGEQSVPEL6ARHTG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UXEXXMB27RIEGEQSVPEL6ARHTG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UXEXXMB27RIEGEQSVPEL6ARHTG/action/storage_attestation","attest_author":"https://pith.science/pith/UXEXXMB27RIEGEQSVPEL6ARHTG/action/author_attestation","sign_citation":"https://pith.science/pith/UXEXXMB27RIEGEQSVPEL6ARHTG/action/citation_signature","submit_replication":"https://pith.science/pith/UXEXXMB27RIEGEQSVPEL6ARHTG/action/replication_record"}},"created_at":"2026-07-05T09:51:14.476206+00:00","updated_at":"2026-07-05T09:51:14.476206+00:00"}