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arXiv 1402.2787hep-ph
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螺旋度振幅和角衰减分布

Helicity Amplitudes and Angular Decay Distributions

J. G. Körner

摘要:

我讨论了如何使用螺旋度方法获得级联衰变的角分布。角衰减分布遵循一个相当简单的主公式,涉及双线性形式的螺旋振幅和维格纳的$d$功能。我详细讨论了离壳规范玻色子的规范不变性问题。作为技术练习,我计算了半轻子和稀有重子衰变的螺旋度振幅和不变振幅之间的线性关系。我讨论两个明确的例子角衰变分布(一)$t\to b+W^+(\to \ell^+ν_\ell)$衰变(这导致的概念的螺旋分数的$W^+$),和(ii)顺序衰变$Λ_b\toΛ(\to pπ^-)+J/ψ(\to \ell^+\ell^-)$。

英文摘要:

I discuss how to obtain angular decay distributions for sequential cascade decays using helicity methods. The angular decay distributions follow from a reasonably simple master formula involving bilinear forms of helicity amplitudes and Wigner's $d$ functions. I discuss in some detail the issue of gauge invariance for off-shell gauge bosons. As a technical exercise I calculate the linear relation between the helicity amplitudes and the invariant amplitudes of semileptonic and rare baryon decays. I discuss two explicit examples of angular decay distributions for (i) the decay $t\to b+W^+(\to \ell^+ν_\ell)$ (which leads to the notion of the helicity fractions of the $W^+$), and (ii) the sequential decay $Λ_b\toΛ(\to pπ^-)+J/ψ(\to \ell^+\ell^-)$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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