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arXiv 0902.2578hep-ph
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$B \to K_1 \ell^+ \ell^-$衰变中的轻子极化

Lepton polarization in $B \to K_1 \ell^+ \ell^-$ Decays

V. Bashiry

摘要:

研究了半轻子$B$介子衰变$B \to K_1 (1270) \ell^+ \ell^-$ $\ell \equiv e$,$μ$,$τ$)中的单轻子和双轻子极化不对称性,其中奇异的$P$波介子$K_1(1270)$是分别为$1^3P_1$和$1^1P_1$态的$K_{1A}$和$K_{1B}$的混合.轻子极化不对称性在双轻子不变质量的不同区域表现出较强的依赖性。轻子极化不对称性还可用于确定$K_1(1270)$ - $K_1(1400)$混合角、$θ_{K_1}$和新的物理效应。此外,与$B\to K^*\ell^+\ell^-$衰变相比,$B\to K_1(1270)\ell^+\ell^-$衰变的不对称性对双轻子不变质量更为敏感.

英文摘要:

We study the single and double lepton polarization asymmetries in the semileptonic $B$ meson decays $B \to K_1 (1270) \ell^+ \ell^-$ $\ell \equiv e$, $μ$, $τ$), where the strange $P$-wave meson, $K_1(1270)$, is the mixtures of the $K_{1A}$ and $K_{1B}$, which are the $1^3P_1$ and $1^1P_1$ states, respectively. The lepton polarization asymmetries show relatively strong dependency in the various region of dileptonic invariant mass. The lepton polarization asymmetries can also be used for determining the $K_1(1270)$--$K_1(1400)$ mixing angle, $θ_{K_1}$ and new physics effects. Furthermore, it is shown that these asymmetries in $B\to K_1(1270)\ell^+\ell^-$ decay compared with those of $B\to K^*\ell^+\ell^-$ decay are more sensitive to the dileptonic invariant mass.

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