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The $D^0 - \bar D^0$ mass difference from a dispersion relation
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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.
Forward citations
Cited by 2 Pith papers
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Nonperturbative Dynamics in D-meson Mixing
First calculation of dimension-11 and dimension-12 QCD condensate contributions to D-meson mixing gives xD = 1.27e-5, still below experiment.
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CP violation studies at Super Tau-Charm Facility
A future Super Tau-Charm Facility is projected to test CP violation in hyperon, tau, and charm decays at 1e-4 to 1e-3 sensitivities and improve the kaon CPT mass-difference limit tenfold.
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