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arXiv 1807.01698hep-ph
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质量插入近似下重中微子的单圈有效LFV $Zl_kl_m$顶点

One-loop effective LFV $Zl_kl_m$ vertex from heavy neutrinos within the Mass Insertion Approximation

M. J. Herrero, X. Marcano, R. Morales, A. Szynkman

摘要:

本文研究了电弱$Z$规范玻色子和两个不同味荷轻子$l_k$和$l_m$在低标度跷跷板模型中产生单圈的有效轻子味破坏顶点,其中右手中微子的质量大于电弱标度.我们首先使用质量插入近似计算描述这个顶点的形状因子,其中中微子Yukawa耦合矩阵的味非对角项是唯一的起源,到单圈水平,轻子味变化过程的外腿带电轻子。然后,通过考虑形状因子的适当的大右手中微子质量展开,我们导出了$Z l_k l_m$有效顶点的公式,该公式非常简单,对快速唯象估计非常有用。在这项工作的最后一部分,我们专注于这个顶点的简单和准确的估计的$Z \to l_k {\bar l}_m$衰减率的唯象应用。具体地说,这个顶点将使我们能够很容易地得出结论的最大允许衰减率的现有数据在反跷跷板模型。在未来的轻子对撞机的范围内,发现的速率是有希望的。

英文摘要:

In this paper we study the effective lepton flavor violating vertex of an electroweak $Z$ gauge boson and two charged leptons with different flavor, $l_k$ and $l_m$, that is generated to one-loop in low scale seesaw models with right handed neutrinos whose masses are heavier than the electroweak scale. We first compute the form factor describing this vertex by using the mass insertion approximation, where the flavor non-diagonal entries of the neutrino Yukawa coupling matrix are the unique origin, to one-loop level, of lepton flavor changing processes with charged leptons in the external legs. Then, by considering the proper large right handed neutrino mass expansion of the form factor, we derive a formula for the $Z l_k l_m$ effective vertex which is very simple and useful for fast phenomenological estimates. In the last part of this work we focus on the phenomenological applications of this vertex for simple and accurate estimates of the $Z \to l_k {\bar l}_m$ decay rates. Concretely, this vertex will allow us to conclude easily on the maximum allowed decay rates by present data in the inverse seesaw model. The found rates are promising, at the reach of future lepton colliders.

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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