{"paper":{"title":"Hyperfine Splitting in True Muonium to $\\mathcal{O}(m_\\mu\\alpha^6)$: Two Photon Annihilation Contribution from Other Flavors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"physics.atom-ph","authors_text":"Henry Lamm, Yao Ji","submitted_at":"2016-07-24T15:44:49Z","abstract_excerpt":"The two-photon-annihilation contribution to the true muonium hyperfine splitting arising from $e$ and $\\tau$ loops is obtained analytically at order $m_\\mu\\alpha^6$. The contribution to the hyperfine splitting is $-2.031092873 m_\\mu\\alpha^6/n^3\\pi^2=-793.926988/n^3$ MHz. The contribution to the triplet true muonium decay rate has also been obtained and was found to be $9.825708266 m_\\mu\\alpha^6/n^3\\pi^2=3840.737698/n^3$ MHz. Additional results have been computed for other purely leptonic bound states."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07059","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":""},"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"}