{"arxiv_id":"hep-ph/0402204","title":"The $D^0 - \\bar D^0$ mass difference from a dispersion relation","abstract":"We study the Standard Model prediction for the mass difference between the two neutral D meson mass eigenstates, $\\Delta m$. We derive a dispersion relation based on heavy quark effective theory that relates $\\Delta m$ to an integral of the width difference of heavy mesons, $\\Delta\\Gamma$, over varying values of the heavy meson mass. Modeling the $m_D$-dependence of certain D decay partial widths, we investigate the effects of SU(3) breaking from phase space on the mass difference. We find that $\\Delta m$ may be comparable in magnitude to $\\Delta\\Gamma$ in the Standard Model.","primary_cat":"hep-ph","cross_cats":[],"submitted_at":"2004-02-19T16:15:27+00:00","latest_version":1,"source":"arxiv","source_label":"arXiv","source_url":null,"has_pdf":true,"has_source":false,"verdict":"CONDITIONAL","confidence":"HIGH","one_line_summary":"A heavy-quark dispersion relation links the neutral D meson mass difference to an integral of the width difference over heavy meson mass, and a phase-space model suggests the Standard Model can give a mass difference of the same order as the width difference.","novelty_score":6.0,"correctness_risk":"medium","formal_verification":"none","upvotes":0,"downvotes":0,"pith_score":0,"inbound_count":21,"_links":{"html":"https://pith.science/paper/hep-ph/0402204","verdict":"/api/v1/verdicts/hep-ph/0402204"}}