{"work":{"id":"146f36ea-73ff-4601-a656-638c93f9493d","openalex_id":null,"doi":null,"arxiv_id":"hep-ph/9407339","raw_key":null,"title":"Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium","authors":null,"authors_text":"G","year":1994,"venue":"hep-ph","abstract":"A rigorous QCD analysis of the inclusive annihilation decay rates of heavy quarkonium states is presented. The effective-field-theory framework of nonrelativistic QCD is used to separate the short-distance scale of annihilation, which is set by the heavy quark mass $M$, from the longer-distance scales associated with quarkonium structure. The annihilation decay rates are expressed in terms of nonperturbative matrix elements of 4-fermion operators in nonrelativistic QCD, with coefficients that can be computed using perturbation theory in the coupling constant $\\alpha_s(M)$. The matrix elements are organized into a hierarchy according to their scaling with $v$, the typical velocity of the heavy quark. An analogous factorization formalism is developed for the production cross sections of heavy quarkonium in processes involving momentum transfers of order $M$ or larger. The factorization formulas are applied to the annihilation decay rates and production cross sections of S-wave states, up to corrections of relative order $v^3$, and of P-wave states, up to corrections of relative order $v^2$.","external_url":"https://arxiv.org/abs/hep-ph/9407339","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-07-09T14:46:17.713939+00:00","pith_arxiv_id":"hep-ph/9407339","created_at":"2026-05-10T08:58:13.822374+00:00","updated_at":"2026-07-09T14:46:17.713939+00:00","title_quality_ok":true,"display_title":"Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium","render_title":"Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium"},"hub":{"state":{"work_id":"146f36ea-73ff-4601-a656-638c93f9493d","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":29,"external_cited_by_count":null,"distinct_field_count":4,"first_pith_cited_at":"2019-06-24T16:14:35+00:00","last_pith_cited_at":"2026-07-08T11:54:24+00:00","author_build_status":"not_needed","summary_status":"needed","contexts_status":"needed","graph_status":"needed","ask_index_status":"not_needed","reader_status":"not_needed","recognition_status":"not_needed","updated_at":"2026-08-21T17:59:37.674188+00:00","tier_text":"hub"},"tier":"hub","role_counts":[{"context_role":"background","n":10},{"context_role":"method","n":4}],"polarity_counts":[{"context_polarity":"background","n":10},{"context_polarity":"use_method","n":4}],"runs":{},"summary":{},"graph":{},"authors":[]}}