Effect of SUSY phases on the $B_d^0-{\bar{B}}_d^0$ mixing in the minimal supergravity model

Abstract

We investigate the effect of SUSY phases (${\theta }_A$ and ${\theta }_{\mu }$) on the $B_d^0-{\bar{B}}_d^0$ mixing in the minimal supergravity model. It is known that the complex phase ${\theta }_A$ $=$ arg($A$) ($A$ is the universal coefficient of the trilinear scalar couplings) is essentially unconstrained by the electric dipole moment experiment, while the phase ${\theta }_{\mu }$ $=$ arg($\mu$) ($\mu$ is the supersymmetric Higgsino mass) is strongly constrained to zero. We found that ${\theta }_A$ does not affect the phase of the $B_d^0-{\bar{B}}_d^0$ mixing matrix element $M_{12}(B)$ by numerical analysis of the renormalization group equations. This means that the measurement of the $B_d^0-{\bar{B}}_d^0$ mixing at the future B-factory could give the direct information on the parameters of the CKM matrix even in the framework of the minimal supergravity model with the SUSY phase ${\theta }_A$.

12 pages, 3 figures

Cited by in corpus (10)

• Flavor changing neutral current processes in $B$ and $K$ decays in the supergravity model
• B -> X_s gamma in Supersymmetry with Explicit CP Violation
• EDM-free supersymmetric CP violation with non-universal soft terms
• Effect of supersymmetric CP phases on the $B\to X_s\gamma$ and $B\to X_s{l}^{+}{l}^{-}$ decays in the minimal supergravity model
• Exploring flavor structure of supersymmetry breaking from rare B decays and unitarity triangle
• CP violation in the $\mu \to 3e$ process and supersymmetric grand unified theory
• Precision Flavour Physics and Supersymmetry
• CP Asymmetry for Inclusive Decay $B\to X_d+\gamma$ in the Minimal Supersymmetric Standard Model
• Two-loop gluino corrections to the inclusive $B\to X_{{}_s}\gamma$ decay in CP violating MSSM with large $\tan \beta$
• Impact of Delta mB_s on the determination of the unitary triangle and bounds on physics beyond the Standard Model