Effects of $A_t$ and $\mu$ phases on B and K physics in the effective supersymmetric models

Abstract

In the minimal supersymmetric standard model (MSSM), the $\mu -$parameter and the trilinear coupling $A_t$ may be generically complex and can affect various observables at B factories. Working in the effective SUSY models and imposing the edm constraints from Chang-Keung-Pilaftsis (CKP) mechanism, we find that (i) there is no new large phase shift in the $B^0-\overline{B^0}$ mixing from the A_t and $\mu$ phases, (ii) CP violating dilepton asymmetry is smaller than 0.1%, (iii) the direct CP violation in $B\to X_s\gamma$ can be as large as $\sim \pm 16$, (iv) the $\mathrm{Br}(B\to X_s{l}^{+}{l}^{-})$ can be enhanced by upto $\sim 85$ compared to the standard model (SM) prediction, and its correlation with $\mathrm{Br}(B\to X_s\gamma )$ is distinctly different from the minimal supergravity scenario. Also, we find $1\le {ϵ}_K/{ϵ}_K^{SM}\le 1.4$, and ${ϵ}_K$ cannot be saturated by the A_t and $\mu$ phases alone : namely, $|{ϵ}_K^{\mathrm{SUSY}}|\le O(10^{-5})$ if the phases of $\mu$ and A_t are the sole origin of CP violation.

Comments: Talk given (by P. Ko) at International Symposium on Supersymmetry, Supergravity and Superstring, Seoul, Korea, 23-27 Jun 1999. (15 pages)