Effect of SUSY Phases on the B0d - B 0d Mixing in the Minimal Supergravity Model

We investigate the effect of SUSY phases ($\theta_A$ and $\theta_\mu$) on the$B^0_d - \bar{B}^0_d$ mixing in the minimal supergravity model. It is knownthat the complex phase $\theta_A$ $=$ arg($A$) ($A$ is the universalcoefficient of the trilinear scalar couplings) is essentially unconstrained bythe electric dipole moment experiment, while the phase $\theta_\mu$ $=$arg($\mu$) ($\mu$ is the supersymmetric Higgsino mass) is strongly constrainedto zero. We found that $\theta_A$ does not affect the phase of the $B^0_d -\bar{B}^0_d$ mixing matrix element $M_{12}(B)$ by numerical analysis of therenormalization group equations. This means that the measurement of the $B^0_d- \bar{B}^0_d$ mixing at the future B-factory could give the direct informationon the parameters of the CKM matrix even in the framework of the minimalsupergravity model with the SUSY phase $\theta_A$.Comment: 12 pages, 3 figure