$B_s - \bar B_s$ Mixing and Its Implication for $b \to s$ Transitions in Supersymmetry

Details $B_s - \bar B_s$ Mixing and Its Implication for $b \to s$ Transitions in Supersymmetry $B_s - \bar B_s$ Mixing and Its Implication for $b \to s$ Transitions in Supersymmetry

2006-06-11

arxiv.org/abs/hep-ph/0606130v1

Phys.Lett.B641:305-309,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 5 figures

Scientific paper

10.1016/j.physletb.2006.08.065

We investigate the effect of the current measurement of the neutral $B_s$ meson mass difference, $\Delta M_{B_s}$, on SUGRA models which have non-zero values of the soft breaking terms $(m^2_{LL,RR})_{23}$ and $A^{u,d}_{23}$ at the GUT scale. We use non-zero values of these parameter to explain the $B\to K\pi$ puzzle and find that even after satisfying the experimental result on $\Delta M_{B_s}$ and the branching ratio (BR) of $b\to s\gamma$ we still can explain the puzzle. Further we show that in this parameter space it is possible to accommodate the large BR of $B\to \eta' K$ and the current experimental data for CP asymmetries of $B\to \eta' K^0$ and $B\to \phi K^0$. The predicted value of $\sin (2\beta^{\rm eff})_{\eta' K^0}$ is about $0.52-0.67$.

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