超对称模型中$B \rar K^\ast \ell^+ \ell^-$和$B \rar K_0^\ast (1430) \ell^+ \ell^-$衰变的比较研究
A comparative study on $B \rar K^\ast \ell^+ \ell^-$ and $B \rar K_0^\ast (1430) \ell^+ \ell^-$ decays in the Supersymmetric Models
摘要:
本文比较了超对称模型中$B \rar K_0^\ast (1430) \ell^+ \ell^-$和$B \rar K^\ast \ell^+ \ell^-$(其中$K_0^\ast (1430)$为p波标量介子)衰变的电子通道与μ子通道的分支比和速率差。考虑具有$R$奇偶性的MSSM,因为在$B\rightarrow X_s \ell^-\ell^+$中可以获得与标准模型预测相当大的偏差。在低重轻子不变质量区($1\leq q^2\leq 6$ GeV $^2$),将$C_{Q1}$和$C_{Q2}$取为1,与$B\to K^\astμ^+μ^-$速率一致.结果表明:(1)$B \rar K_0^\ast (1430) \ell^+ \ell^-$ $(\ell = μ,\, τ)$衰变在LHC上是可测量的;(2)与$B \rar K^\ast \ell^+ \ell^-$衰变相比,$B \rar K_0^\ast (1430) \ell^+ \ell^-$衰变的偏差较大。测量半轻子稀有$B \rar K_0^\ast (1430) \ell^+ \ell^-$的这些可观测量,特别是在低$B \rar K_0^\ast (1430) \ell^+ \ell^-$区域,可以提供有关标准模型内或之外的相互作用性质的有价值的信息。
英文摘要:
In this paper, we compare the branching ratio and rate difference of electron channel to muon channel of $B \rar K_0^\ast (1430) \ell^+ \ell^-$ and $B \rar K^\ast \ell^+ \ell^-$decays, where $K_0^\ast (1430)$ is the p--wave scalar meson, in the supersymmetric models. MSSM with $R$ parity is considered since considerable deviation from the standard model predictions can be obtained in $B\rightarrow X_s \ell^-\ell^+$. Taking $C_{Q1}$ and $C_{Q2}$ about one which is consistent with the $B\to K^\astμ^+μ^-$ rate at low dileptonic invariant mass region($1\leq q^2\leq 6$GeV$^2$). It is found that, firstly, the $B \rar K_0^\ast (1430) \ell^+ \ell^-$ $(\ell = μ,\, τ)$ decay is measurable at LHC, secondly, in comparison with $B \rar K^\ast \ell^+ \ell^-$ decay a greater deviation in the $B \rar K_0^\ast (1430) \ell^+ \ell^-$ decay can be seen. Measurement of these observables for the semileptonic rare $B \rar K_0^\ast (1430) \ell^+ \ell^-$, in particular, at low $q^2$ region can give valuable information about the nature of interactions within Standard Model or beyond.
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