{"paper":{"title":"Some radiative corrections to the hyperfine splitting of true muonium: two-photon-exchange contributions","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":"2017-01-16T17:30:01Z","abstract_excerpt":"We consider a set of radiative contributions from one-loop lepton vacuum polarization to the hyperfine splitting of true muonium. Improving previous results, we obtain values for the electron-loop coefficients and extract their leading dependence upon $\\beta=m_\\mu/m_e$. The coefficients are $C^{\\mu}_{20,1{\\rm VPCT}}=0.734931603\\beta$, $C^{\\mu}_{20,1{\\rm VPCA}}=0.551198702\\beta$, and $C^\\mu_{20,1{\\rm VPT}}=0.419149715\\beta$. The mass-independent contribution from three one-loop vacuum polarization is $C_{40,{\\rm VPX}}=\\frac{1}{127575}\\left(-5255-2016\\pi^2+51840\\zeta(3)\\right)$. Contributions fr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04362","kind":"arxiv","version":3},"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"}