{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:K6QVHCB4CGVCBOQHT3T3HFBG4V","short_pith_number":"pith:K6QVHCB4","schema_version":"1.0","canonical_sha256":"57a153883c11aa20ba079ee7b39426e54c4282def0388ea8b3a99721224e029e","source":{"kind":"arxiv","id":"2311.06385","version":1},"attestation_state":"computed","paper":{"title":"Two-loop QED corrections to the scattering of four massive leptons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Claude Duhr, Lorenzo Tancredi, Maximilian Delto, Yu Jiao Zhu","submitted_at":"2023-11-10T20:26:49Z","abstract_excerpt":"We study two-loop corrections to the scattering amplitude of four massive leptons in quantum electrodynamics. These amplitudes involve previously unknown elliptic Feynman integrals, which we compute analytically using the differential equation method. In doing so, we uncover the details of the elliptic geometry underlying this scattering amplitude and show how to exploit its properties to obtain compact, easy-to-evaluate series expansions that describe the scattering of four massive leptons in QED in the kinematical regions relevant for Bhabha and M{\\o}ller scattering processes."},"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":"2311.06385","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2023-11-10T20:26:49Z","cross_cats_sorted":[],"title_canon_sha256":"793af49d247d3400b8d119651a0c5cfbd3a921c932040c88b5a8fd8565e56f17","abstract_canon_sha256":"23ab6eabd3922e3e2bb0542873b22decdf58e0774e863e8368e233e2157f922d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:11:39.274017Z","signature_b64":"Q7voqyyIms+pTbDImQfZC9EnWiPAI5pj4rmzrP/PLZuKyeFCVuV9HJdAUoajFJb97BH6RDx617nFyqMLE6acCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"57a153883c11aa20ba079ee7b39426e54c4282def0388ea8b3a99721224e029e","last_reissued_at":"2026-07-05T07:11:39.273550Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:11:39.273550Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Two-loop QED corrections to the scattering of four massive leptons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Claude Duhr, Lorenzo Tancredi, Maximilian Delto, Yu Jiao Zhu","submitted_at":"2023-11-10T20:26:49Z","abstract_excerpt":"We study two-loop corrections to the scattering amplitude of four massive leptons in quantum electrodynamics. These amplitudes involve previously unknown elliptic Feynman integrals, which we compute analytically using the differential equation method. In doing so, we uncover the details of the elliptic geometry underlying this scattering amplitude and show how to exploit its properties to obtain compact, easy-to-evaluate series expansions that describe the scattering of four massive leptons in QED in the kinematical regions relevant for Bhabha and M{\\o}ller scattering processes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.06385","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/2311.06385/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":"2311.06385","created_at":"2026-07-05T07:11:39.273605+00:00"},{"alias_kind":"arxiv_version","alias_value":"2311.06385v1","created_at":"2026-07-05T07:11:39.273605+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.06385","created_at":"2026-07-05T07:11:39.273605+00:00"},{"alias_kind":"pith_short_12","alias_value":"K6QVHCB4CGVC","created_at":"2026-07-05T07:11:39.273605+00:00"},{"alias_kind":"pith_short_16","alias_value":"K6QVHCB4CGVCBOQH","created_at":"2026-07-05T07:11:39.273605+00:00"},{"alias_kind":"pith_short_8","alias_value":"K6QVHCB4","created_at":"2026-07-05T07:11:39.273605+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2607.00187","citing_title":"From geometry to phenomenology","ref_index":51,"is_internal_anchor":false},{"citing_arxiv_id":"2511.15381","citing_title":"New algorithms for Feynman integral reduction and $\\varepsilon$-factorised differential equations","ref_index":45,"is_internal_anchor":false},{"citing_arxiv_id":"2512.04959","citing_title":"Towards a Fully Automated Differential $\\text{NNLO}_\\text{EW}$ Generator for Lepton Colliders","ref_index":105,"is_internal_anchor":false},{"citing_arxiv_id":"2605.07729","citing_title":"Genus drop involving non-hyperelliptic curves in Feynman integrals","ref_index":35,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/K6QVHCB4CGVCBOQHT3T3HFBG4V","json":"https://pith.science/pith/K6QVHCB4CGVCBOQHT3T3HFBG4V.json","graph_json":"https://pith.science/api/pith-number/K6QVHCB4CGVCBOQHT3T3HFBG4V/graph.json","events_json":"https://pith.science/api/pith-number/K6QVHCB4CGVCBOQHT3T3HFBG4V/events.json","paper":"https://pith.science/paper/K6QVHCB4"},"agent_actions":{"view_html":"https://pith.science/pith/K6QVHCB4CGVCBOQHT3T3HFBG4V","download_json":"https://pith.science/pith/K6QVHCB4CGVCBOQHT3T3HFBG4V.json","view_paper":"https://pith.science/paper/K6QVHCB4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2311.06385&json=true","fetch_graph":"https://pith.science/api/pith-number/K6QVHCB4CGVCBOQHT3T3HFBG4V/graph.json","fetch_events":"https://pith.science/api/pith-number/K6QVHCB4CGVCBOQHT3T3HFBG4V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K6QVHCB4CGVCBOQHT3T3HFBG4V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K6QVHCB4CGVCBOQHT3T3HFBG4V/action/storage_attestation","attest_author":"https://pith.science/pith/K6QVHCB4CGVCBOQHT3T3HFBG4V/action/author_attestation","sign_citation":"https://pith.science/pith/K6QVHCB4CGVCBOQHT3T3HFBG4V/action/citation_signature","submit_replication":"https://pith.science/pith/K6QVHCB4CGVCBOQHT3T3HFBG4V/action/replication_record"}},"created_at":"2026-07-05T07:11:39.273605+00:00","updated_at":"2026-07-05T07:11:39.273605+00:00"}