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The CKM Matrix and the Unitarity Triangle: Another Look

机译:CKM矩阵和统一三角形:另一种眼光

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摘要

The rescaled unitarity triangle can be determined by means of two measurements of its sides or angles. Assuming the same relative errors on the angles $(\alpha,\beta,\gamma)$ and the sides $(R_b,R_t)$, we find that the pairs $(\gamma,\beta)$ and $(\gamma,R_b)$ are most efficient in determining $(\bar\varrho,\bar\eta)$ that describe the apex of the unitarity triangle. They are followed by $(\alpha,\beta)$, $(\alpha,R_b)$, $(R_t,\beta)$, $(R_t,R_b)$ and $(R_b,\beta)$. As the set $\vus$, $\vcb$, $R_t$ and $\beta$ appears to be the best candidate for the fundamental set of flavour violating parameters in the coming years, we show various constraints on the CKM matrix in the $(R_t,\beta)$ plane. Using the best available input we determine the universal unitarity triangle for models with minimal flavour violation (MFV) and compare it with the one in the Standard Model. We present allowed ranges for $\sin 2\beta$, $\sin 2\alpha$, $\gamma$, $R_b$, $R_t$ and $\Delta M_s$ within the Standard Model and MFV models. We also update the allowed range for the function $F_{tt}$ that parametrizes various MFV-models.
机译:可以通过对其侧面或角度进行两次测量来确定重新缩放的单位三角形。假设角度$(\ alpha,\ beta,\ gamma)$和侧面$(R_b,R_t)$的相对误差相同,我们发现对($ \\ gamma,\ beta)$和$(\ gamma ,R_b)$最有效地确定描述统一性三角形顶点的$(\ bar \ varrho,\ bar \ eta)$。它们之后是$(\ alpha,\ beta)$,$(\ alpha,R_b)$,$(R_t,\ beta)$,$(R_t,R_b)$和$(R_b,\ beta)$。由于集合$ \ vus $,$ \ vcb $,$ R_t $和$ \ beta $似乎是未来几年基本违反风味参数集的最佳候选者,因此我们在CKM矩阵中显示了各种约束$(R_t,\ beta)$平面。使用最佳的可用输入,我们确定具有最小风味冲突(MFV)的模型的通用单一性三角形,并将其与标准模型中的那个进行比较。我们提供标准模型和MFV模型中$ \ sin 2 \ beta $,$ \ sin 2 \ alpha $,$ \ gamma $,$ R_b $,$ R_t $和$ \ Delta M_s $的允许范围。我们还更新了参数$ F_ {tt} $的允许范围,该参数对各种MFV模型进行了参数化。

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