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

Abstract

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 $(m_{LL,RR}^2{)}_{23}$ and $A_{23}^{u,d}$ 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 $B\to {\eta }^{\prime }K$ and the current experimental data for CP asymmetries of $B\to {\eta }^{\prime }{K}^0$ and $B\to \varphi K^0$. The predicted value of $\sin (2{\beta }^{\mathrm{eff}}{)}_{{\eta }^{\prime }{K}^0}$ is about $0.52-0.67$.

13 pages, 5 figures

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Cited by in corpus (15)

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• Unparticle physics effects in B_s mixing
• Unparticle effect on B_s - \bar B_s mixing and its implications for B_s \to J/ψϕ, ϕϕdecays
• Patterns of flavor signals in supersymmetric models
• B_s^0-\bar{B}_s^0 mixing and B -> πK decays in stringy leptophobic Z^\prime
• Analytic Resolution of Puzzle in $B\to K\pi$ decays
• B(s)-B(s)bar Mixing in Supersymmetric Grand Unified Models
• Implications of the measurements of B_s - B_s bar mixing on SUSY models
• $B_s^0-{\bar{B}}_s^0$ mixing and $b\to s$ transitions in isosinglet down quark model
• b\to sν\barν decay in the MSSM: Implication of b\to sγat large tan beta
• Correlation between lepton flavor violation and B_{(d,s)} - \bar{B}_{(d,s)} mixing in SUSY GUT
• Investigation of $B_{u,d}\to (\pi ,K)\pi$ decays within unparticle physics
• B/s0 anti-B/s0 mixing in the MSSM with large tan beta
• Tree FCNC and non-unitarity of CKM matrix
• Electroweak Penguin and Leptophobic $Z^{\prime }$ model