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arXiv 0902.0432hep-ph
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超对称理论中的$B \to K^{\ast}_0(1430) l^{+} l^{-}$衰变

$B \to K^{\ast}_0(1430) l^{+} l^{-}$ decays in supersymmetric theories

M. Jamil Aslam, Cai-Dian Lu, Yu-Ming Wang

备注：
16 pages, 5 figures
发表信息：
Phys.Rev.D79:074007,2009
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摘要：

在最小超对称标准模型（MSSM）和超对称（SUSY）SO（10）大统一模型中研究了$B \to K^{\ast}_0(1430) l^{+} l^{-}$（$l=μ, τ$）的弱衰变.中性希格斯玻色子是MSSM的主要焦点，因为它们在SUSY模型的参数空间的大$\tanβ$区域中对排他性的$B \to X_{s} l^{+} l^{-}$衰变做出了相当大的贡献，因为部分SUSY贡献与$\tan^{3}β$成正比。对$B \to K^{\ast}_0(1430) l^{+} l^{-}$的衰变率、前向-后向不对称性和轻子极化不对称性的分析表明，中性希格斯玻色子玻色子的作用对这些物理观测值有很大的影响.在SUSY SO（10）GUT模型中，新的物理贡献来自于中性希格斯玻色子企鹅诱导的算符，也来自于与相应的标准模型（SM）算符手征相反的算符。SUSY SO（10）效应只在$B \to K^{\ast}_0 μ^{+} μ^{-}$衰变中出现，在此衰变中轻子的横向极化不对称性显著偏离SM值，而在衰变速率、前后向不对称性、轻子的纵向和法向极化不对称性中的效应则很轻微。横轻子极化不对称性在SM和MSSM模型中几乎为零，而在SUSY SO（10）GUT模型中可以达到-0.3，这在未来的对撞机上可以观察到，因此可以用这种可观测到的不对称性来区分不同的SUSY模型。

英文摘要：

The weak decays of $B \to K^{\ast}_0(1430) l^{+} l^{-}$ ($l=μ, τ$) are investigated in Minimal Supersymmetric Standard Model (MSSM) and also in Supersymmetric (SUSY) SO(10) Grand Unified Models. Neutral Higgs bosons are the point of main focus in MSSM because they make quite a large contribution in exclusive $B \to X_{s} l^{+} l^{-}$ decays at large $\tanβ$ regions of parameter space of SUSY models, as part of SUSY contributions is proportional to $\tan^{3}β$. The analysis of decay rate, forward-backward asymmetries and lepton polarization asymmetries in $B \to K^{\ast}_0(1430) l^{+} l^{-}$ show that the values of these physical observables are greatly modified by the effects of neutral Higgs bosons. In SUSY SO(10) GUT model, the new physics contribution comes from the operators which are induced by the neutral Higgs boson penguins and also from the operators with chirality opposite to that of the corresponding Standard Model (SM) operators. SUSY SO(10) effects show up only in the decay $B \to K^{\ast}_0 μ^{+} μ^{-}$ where the transverse lepton polarization asymmetries deviate significantly from the SM value while the effects in the decay rate, forward-backward asymmetries, the longitudinal and normal lepton polarization asymmetries are very mild. The transverse lepton polarization asymmetry is almost zero in SM and in MSSM model, whereas it can reach to -0.3 in SUSY SO(10) GUT model which could be seen at the future colliders; hence this asymmetry observable can be used to discriminate between different SUSY models.

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