{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:P5ZC5A6OYAQMWRJ65RIZ5ZTHMY","short_pith_number":"pith:P5ZC5A6O","schema_version":"1.0","canonical_sha256":"7f722e83cec020cb453eec519ee667660bb4916ce002c7d2d6bd946fe1c1bc23","source":{"kind":"arxiv","id":"2404.05492","version":2},"attestation_state":"computed","paper":{"title":"Vacuum amplitudes and time-like causal unitary in the loop-tree duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex","hep-th"],"primary_cat":"hep-ph","authors_text":"Andr\\'es E. Renter\\'ia-Olivo, David F. Renter\\'ia-Estrada, German F. R. Sborlini, Germ\\'an Rodrigo, Jorge J. Mart\\'inez de Lejarza, Leandro Cieri, Prasanna K. Dhani, Roger J. Hern\\'andez-Pinto, Selomit Ram\\'irez-Uribe, The LTD Collaboration, William J. Torres Bobadilla","submitted_at":"2024-04-08T13:12:38Z","abstract_excerpt":"We present the first proof-of-concept application to decay processes at higher perturbative orders of LTD causal unitary, a novel methodology that exploits the causal properties of vacuum amplitudes in the loop-tree duality (LTD) and is directly well-defined in the four physical dimensions of the space-time. The generation of loop- and tree-level contributions to the differential decay rates from a kernel multiloop vacuum amplitude is shown in detail, and explicit expressions are presented for selected processes that are suitable for a lightweight understanding of the method. Specifically, we "},"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":"2404.05492","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-04-08T13:12:38Z","cross_cats_sorted":["hep-ex","hep-th"],"title_canon_sha256":"4556d4293f0472ace3cb24a5f0cd2ea588c19516d77b6f8584bac6fe9ec2d4f9","abstract_canon_sha256":"653e44f4200a4c80fd8d58b7293457671f8a85b82d539c480000d7f2c614d21d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:53:00.574424Z","signature_b64":"OUJOo9eK4HrcCoD4qniWXZTArpCI/JdxNYn5Jab2C2+vEWrIiVch2Ixqi4ZlSfEA1XP8c81JgT9/1c08oT2KDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f722e83cec020cb453eec519ee667660bb4916ce002c7d2d6bd946fe1c1bc23","last_reissued_at":"2026-07-05T09:53:00.573867Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:53:00.573867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Vacuum amplitudes and time-like causal unitary in the loop-tree duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex","hep-th"],"primary_cat":"hep-ph","authors_text":"Andr\\'es E. Renter\\'ia-Olivo, David F. Renter\\'ia-Estrada, German F. R. Sborlini, Germ\\'an Rodrigo, Jorge J. Mart\\'inez de Lejarza, Leandro Cieri, Prasanna K. Dhani, Roger J. Hern\\'andez-Pinto, Selomit Ram\\'irez-Uribe, The LTD Collaboration, William J. Torres Bobadilla","submitted_at":"2024-04-08T13:12:38Z","abstract_excerpt":"We present the first proof-of-concept application to decay processes at higher perturbative orders of LTD causal unitary, a novel methodology that exploits the causal properties of vacuum amplitudes in the loop-tree duality (LTD) and is directly well-defined in the four physical dimensions of the space-time. The generation of loop- and tree-level contributions to the differential decay rates from a kernel multiloop vacuum amplitude is shown in detail, and explicit expressions are presented for selected processes that are suitable for a lightweight understanding of the method. Specifically, we "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.05492","kind":"arxiv","version":2},"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/2404.05492/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":"2404.05492","created_at":"2026-07-05T09:53:00.573925+00:00"},{"alias_kind":"arxiv_version","alias_value":"2404.05492v2","created_at":"2026-07-05T09:53:00.573925+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.05492","created_at":"2026-07-05T09:53:00.573925+00:00"},{"alias_kind":"pith_short_12","alias_value":"P5ZC5A6OYAQM","created_at":"2026-07-05T09:53:00.573925+00:00"},{"alias_kind":"pith_short_16","alias_value":"P5ZC5A6OYAQMWRJ6","created_at":"2026-07-05T09:53:00.573925+00:00"},{"alias_kind":"pith_short_8","alias_value":"P5ZC5A6O","created_at":"2026-07-05T09:53:00.573925+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.02702","citing_title":"Perturbative construction of amplitudes from on-shell trees with vacuum pairs: the all-plus four-gluon amplitude through order $\\boldsymbol{g}^{\\boldsymbol{6}}$","ref_index":33,"is_internal_anchor":false},{"citing_arxiv_id":"2504.06689","citing_title":"Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist","ref_index":129,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/P5ZC5A6OYAQMWRJ65RIZ5ZTHMY","json":"https://pith.science/pith/P5ZC5A6OYAQMWRJ65RIZ5ZTHMY.json","graph_json":"https://pith.science/api/pith-number/P5ZC5A6OYAQMWRJ65RIZ5ZTHMY/graph.json","events_json":"https://pith.science/api/pith-number/P5ZC5A6OYAQMWRJ65RIZ5ZTHMY/events.json","paper":"https://pith.science/paper/P5ZC5A6O"},"agent_actions":{"view_html":"https://pith.science/pith/P5ZC5A6OYAQMWRJ65RIZ5ZTHMY","download_json":"https://pith.science/pith/P5ZC5A6OYAQMWRJ65RIZ5ZTHMY.json","view_paper":"https://pith.science/paper/P5ZC5A6O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2404.05492&json=true","fetch_graph":"https://pith.science/api/pith-number/P5ZC5A6OYAQMWRJ65RIZ5ZTHMY/graph.json","fetch_events":"https://pith.science/api/pith-number/P5ZC5A6OYAQMWRJ65RIZ5ZTHMY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P5ZC5A6OYAQMWRJ65RIZ5ZTHMY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P5ZC5A6OYAQMWRJ65RIZ5ZTHMY/action/storage_attestation","attest_author":"https://pith.science/pith/P5ZC5A6OYAQMWRJ65RIZ5ZTHMY/action/author_attestation","sign_citation":"https://pith.science/pith/P5ZC5A6OYAQMWRJ65RIZ5ZTHMY/action/citation_signature","submit_replication":"https://pith.science/pith/P5ZC5A6OYAQMWRJ65RIZ5ZTHMY/action/replication_record"}},"created_at":"2026-07-05T09:53:00.573925+00:00","updated_at":"2026-07-05T09:53:00.573925+00:00"}