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arXiv 1410.2115hep-phhep-ex
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衰变$Λ_b \to Λ(\to N π) \ell^+\ell^-$的角分析

Angular Analysis of the Decay $Λ_b \to Λ(\to N π) \ell^+\ell^-$

Philipp Böer, Thorsten Feldmann, Danny van Dyk

摘要:

我们研究了罕见的$Λ_b \to Λ(\to N π)\ell^+\ell^-$跃迁的微分衰变率,包括确定完整的角分布,假设非极化的$Λ_b$重子。适当选择的参数化的各种螺旋振幅的基础上,我们提供的标准模型和一个子集的新的物理模型与手征翻转运营商的角度可观的表达式。将格点量子色动力学的信息与重夸克有效理论中改进的形状因子关系相结合,估计了低反冲强子效应。我们的估计大强子反冲-在这个阶段-仍然是相当不确定的,因为重子输入函数不是那么众所周知的,和不可因式分解的旁观者效应还没有系统地工作到目前为止。尽管如此,我们对$Λ_b \to Λ(\to N π)\ell^+\ell^-$的衰变不对称性和角度观测值的唯象分析表明,与相应的介子模式相比,这种衰变模式可以对辐射和半轻子$b \to s$跃迁中的Wilson系数提供新的和互补的约束。

英文摘要:

We study the differential decay rate for the rare $Λ_b \to Λ(\to N π)\ell^+\ell^-$ transition, including a determination of the complete angular distribution, assuming unpolarized $Λ_b$ baryons. On the basis of a properly chosen parametrization of the various helicity amplitudes, we provide expressions for the angular observables within the Standard Model and a subset of new physics models with chirality-flipped operators. Hadronic effects at low recoil are estimated by combining information from lattice QCD with (improved) form-factor relations in Heavy Quark Effective Theory. Our estimates for large hadronic recoil -- at this stage -- are still rather uncertain because the baryonic input functions are not so well known, and non-factorizable spectator effects have not been worked out systematically so far. Still, our phenomenological analysis of decay asymmetries and angular observables for $Λ_b \to Λ(\to N π)\ell^+\ell^-$ reveals that this decay mode can provide new and complementary constraints on the Wilson coefficients in radiative and semileptonic $b \to s$ transitions compared to the corresponding mesonic modes.

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