An Examination of Lepton Flavor Violation in the Scotogenic Model
The study focuses on lepton flavor violation (LFV) within the framework of the scotogenic model, originally proposed by Ma. This model is distinguished by its ability to generate neutrino masses via radiative corrections at the one-loop level. The primary objective of the paper is to extend existing research, which has predominantly concentrated on the process $\ell_\alpha \to \ell_\beta \gamma$, by providing analytical expressions for additional processes such as $\ell_\alpha \to 3\, \ell_\beta$ and $\mu-e$ conversion in nuclei. The paper posits that these processes may offer more stringent experimental constraints and, potentially, show larger rates than the traditional radiative decay process, thereby implying superior experimental prospects.
The paper presents a comprehensive discussion on current and future experimental sensitivity for LFV processes. It contextualizes the present state of research and experimental bounds using data acquired predominantly from the MEG experiment, which focuses on the decay $\mu \to e \gamma$. The sensitivity of upcoming experiments like Mu3e, and various projects centered on $\mu-e$ conversion in nuclei, are highlighted as crucial developments that could usher significant advancements in LFV studies.
One of the notable aspects of the study is its emphasis on a deeper understanding of LFV anatomy within the scotogenic model, particularly due to the unbroken $\mathbb{Z}_2$ symmetry, which impedes mixing between left- and right-handed neutrinos. This characteristic sets the model apart from similar frameworks and influences the rate of LFV processes significantly.
Strong numerical results are derived concerning the potential improvement in bounding LFV processes through these alternative decay routes. Specifically, the paper delineates scenarios under which the processes $\ell_\alpha \to 3\, \ell_\beta$ and $\mu-e$ conversion provide more robust constraints compared to $\ell_\alpha \to \ell_\beta \gamma$. Such contrasting outcomes shed light on the model’s dynamics and elucidate the potential for more targeted experimental designs in the future.
In terms of practical implications, the paper indicates that the scotogenic model could have significant leverage on LFV observables and prospects within collider physics. Since the model facilitates a connection between neutrino masses and LFV, it may guide experimental setups in probing beyond the Standard Model scenarios.
The theoretical implications are profound as the study sheds light on the subtleties of radiative corrections leading to neutrino mass generation and highlights pathways for further exploration of models with similar symmetry and mass generation mechanisms.
Looking ahead, advancements in AI and computational techniques could further evolve the modeling and simulation of such complex processes, enabling more precise predictions and aiding in refining experimental approaches.
In conclusion, this paper serves as an insightful contribution to the realm of LFV studies, offering a more nuanced view of potential processes within the scotogenic model. It effectively bridges the theoretical framework with experimental prospects, fostering a better understanding of LFV in relation to neutrino mass generation, and stepping beyond traditional experimental bounds with promising avenues for discovery.
