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The Effects of Flavor Changing Neutral Current and Cabibbo-Kobayashi-Maskawa Matrix

L. T. Handoko Pages·:·73 pages
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Abstract

We study the effects of tree-level flavor changing neutral current and its present status with Cabibbo-Kobayashi-Maskawa matrix. Especially, we remark the effects of flavor changing neutral current on the unitary triangle of Cabibbo-Kobayashi-Maskawa matrix. In the case when the unitarity is nearly conserved, we find that the allowed FCNC in the $db$ sector is $\left| {{z_d}^{db}}/{V_{CKM}^{td} {V_{CKM}^{tb}}^\ast} \right| \sim O({10}^{-2})$, from the evaluation of the present bounds for the mixing size of neutral $B$ meson ($x_d$), and the $CP$ violation parameter in the neutral $K$ meson ($ε$). Although the size is small, the new physics due to the tree-level FCNC in the $db$ sector is expected to be visible in the $B \rightarrow X_d \, l^+ \, l^- $ and the $CP$ asymmetries in the neutral $B$ meson system. In the case when the unitarity is violated and the quadrangle is conserved, the FCNC is large enough, i.e. $\left| {{z_d}^{db}}/{V_{CKM}^{td} {V_{CKM}^{tb}}^\ast} \right| \sim O(1)$. Then, a significant contribution is also expected in the inclusive $B \rightarrow X_d \, γ$ decay.

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L. T. Handoko Pages, :, 73 pages. 1995-03-03. The Effects of Flavor Changing Neutral Current and Cabibbo-Kobayashi-Maskawa Matrix. https://arxiv.org/abs/hep-ph/9503218

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