Phenomenological Determination of the Beauty Meson Decay Parameter $f_B$ and the CP-Violating Angle $\hat{I}´$

Abstract

We fit the $\mathcal{C}\mathcal{K}\mathcal{M}$-matrix to all recent data with the following free parameters: three mixing angles, the CP-violating angle $\hat{I}´$ in the Maiani parametrisation, the top quark mass $m_t$, and the product $f_B{\cal B}_{\B}^{1/2}$, where $f_B$ is the $B$-meson decay parameter and ${\cal B}_{\B}$ is the bag parameter. Our fits span a contiguous region in the $(f_B{\cal B}_{\B}^{1/2},\ \cosδ)$--plane, limited by $0.117\lsim f_B{\cal B}_{\B}^{1/2}/{\rm GeV}\lsim 0.231$ and --0.95 $\lsim$ $\cos \hat{I}´$ $\lsim$ 0.70. The parameters $f_B{\cal B}_{\B}^{1/2}$ and $\cos \hat{I}´$ are strongly positively correlated.

9 pages + 1 figure available upon request, HU-TFT-94-30