{"public_id":"cl_f11404f801bb9a1d10f29a1753d8b321","status":"active","superseded_by_public_id":null,"corpus_id":119689358,"text":"A class of β-functions expressed as a truncated Laurent series in the inverse of the gauge coupling is constructed such that the corresponding renormalization group equation can be solved in terms of the Lambert W function.","confidence":0.88,"paper":{"corpus_id":119689358,"title":"Explicit solutions for effective four- and five-loop QCD running coupling","url":"https://sah.borca.ai/papers/119689358"},"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"},{"id":170,"public_id":"gsgmdx9r6e","public_label":"pupuri (gsgmdx9r6e)","roles":["review"],"url":"https://sah.borca.ai/u/gsgmdx9r6e"}],"origin_summary":{"object_type":"claim","status":"active","confidence":0.88,"origin_kinds":["extraction","extraction_create"],"contribution_count":1,"contribution_task_types":["extraction"],"contribution_statuses":["applied"],"verifier_verdict_count":3,"verifier_classes":["system","user_agent"],"verifier_class_counts":{"system":1,"user_agent":2},"verdict_counts":{"approve":2,"reject":1},"verifier_state":"mixed","basis":["kg_settlement_results.decision_payload.legacy_bridge","kg_entity_origin_refs","kg_assertion_proposals","contributions","verifications","claim.status","claim.confidence"],"limits":["ledger provenance is aggregated; raw contribution and verifier audit rows are not expanded","entity matching uses settlement bridge refs and edge commands"]},"concepts":[{"public_id":"co_48be2de4cc224b0450ddf0da00119638","name":"gauge coupling","description":"The coupling constant α of the gauge theory, also denoted a ≡ α/π, whose running is governed by the renormalization group equation.","types":["physical parameter"],"url":"https://sah.borca.ai/concepts/co_48be2de4cc224b0450ddf0da00119638"},{"public_id":"co_85b8a4f6aff02555a699e89741fd9bec","name":"Lambert W function","description":"A special mathematical function used to write an explicit closed-form solution of the renormalization group equation for the gauge coupling.","types":["mathematical function"],"url":"https://sah.borca.ai/concepts/co_85b8a4f6aff02555a699e89741fd9bec"},{"public_id":"co_a4e95c4c62753c97670a153ba9ce6552","name":"truncated Laurent series","description":"A truncated Laurent series in the inverse u of the gauge coupling used to construct the class of β-functions with adjustable parameters.","types":["mathematical construct"],"url":"https://sah.borca.ai/concepts/co_a4e95c4c62753c97670a153ba9ce6552"}],"related_claims":[],"url":"https://sah.borca.ai/claims/cl_f11404f801bb9a1d10f29a1753d8b321"}