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.
Charged Lepton Flavor Violation in a class of Radiative Neutrino Mass Generation Models
研究了一类具有增阶电弱多重态的三圈辐射中微子质量产生模型的带电轻子味破坏过程$μ\rightarrow e γ$、$μ\rightarrow e e \overline{e}$和核内的$μ-e$转换.我们发现,由于$μe γ$有效顶点的偶极和非偶极贡献以及$μe Z$有效顶点的Z-企鹅贡献的单圈图之间存在一定的抵消,因此,与$μ\rightarrow e e \overline{e}$过程相比,原子核中的味道违反过程$μ\rightarrow eγ$和$μ-e$转换被高度抑制.因此,在LFV过程中观察到这种模式可能揭示中微子质量产生背后的辐射机制。
LFV in flavourful SMEFT: Dimension-Six Running versus Dimension-Eight Mixing
Indian Association for the Cultivation of Science(印度科学文化研究所);Indian Institute of Technology Kanpur(坎普尔印度理工学院);Joint Institute for Nuclear Research(俄罗斯杜布纳联合核研究所);Indian Institute of Science(印度科学学院)