Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-04-04
Phys.Lett.B655:50-57,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
18 pages, 6 figures, references added and updated, version to appear in Phys. Lett. B
Scientific paper
10.1016/j.physletb.2007.08.084
We study the $D-\bar D$ mixing and rare D decays in the Littlest Higgs model. As the new weak singlet quark with the electric charge of 2/3 is introduced to cancel the quadratic divergence induced by the top-quark, the standard unitary $3\times 3$ Cabibbo-Kobayashi-Maskawa matrix is extended to a non-unitary $4\times 3$ matrix in the quark charged currents and Z-mediated flavor changing neutral currents are generated at tree level. In this model, we show that the $D-\bar D$ mixing parameter can be as large as the current experimental value and the decay branching ratio (BR) of $D\to X_u \ga$ is small but its direct CP asymmetry could be $O(10%)$. In addition, we find that the BRs of $D\to X_u \ell^{+} \ell^{-}$, $D\to X_u\nu \bar \nu$ and $D\to \mu^{+} \mu^{-}$ could be enhanced to be $O(10^{-9})$, $O(10^{-8})$ and $O(10^{-9})$, respectively.
Chen Chuan-Hung
Geng Chao-Qiang
Yuan Tzu-Chiang
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