Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-10-27
Physics
High Energy Physics
High Energy Physics - Phenomenology
v5, LaTeX, 6 pages, 2 figures, minor changes
Scientific paper
The current analysis of the Cabibbo-Kobayashi-Maskawa(CKM) quark mixing matrix uses the standard parametrisation by 3 mixing angles and the CP-violating KM phase. However it would be more convenient to express these mixing angle parameters in terms of the known CKM matrix elements like $V_{ud}$, $ V_{us}$, $ V_{ub}$, $V_{cb}$ and the CP-violating phase $\delta$. The other CKM matrix elements are then expressed in terms of these known matrix elements instead of the standard mixing angles. In this paper, using $V_{ud}$, $ V_{us}$, $ V_{ub}$ and $V_{cb}$ from the current global fit, we show that the measured values for $|V_{td}/V_{ts}|$ and $\sin\beta$ imply $\gamma=(68\pm 3)^{\circ}$ at which $\sin\beta$ and $\sin\alpha$ are near its maximum, consistent with the global fit.
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