Abstract
Guided by gauge principles we discuss a predictive and falsifiable UV complete model where the Dirac fermion that accounts for the cold dark matter abundance in our universe induces the lepton flavor violation (LFV) decays $\mu \rightarrow e\gamma$ and $\mu \rightarrow e e e$ as well as $\mu-e$ conversion. We explore the interplay between direct dark matter detection, relic density, collider probes and lepton flavor violation to conclusively show that one may have a viable dark matter candidate yielding flavor violation signatures expected to be fully probed in the upcoming of experiments. Interestingly, keeping the dark matter mass not far from the TeV, our model has an approximate prediction for the maximum LFV signal one could have while reproducing the correct dark matter relic density.
Highlights
The fundamental particle nature of the dark matter (DM) is one of the most pressing questions in science
We explore the interplay between direct dark matter detection, relic density, collider probes and lepton flavor violation to conclusively show that one may have a viable dark matter candidate yielding flavor violation signatures that can be probed in the upcoming experiments
If the XENON1T experiment starts seeing excess events consistent with ∼TeV dark matter which can be later confirmed by XENONnT [109], our model offers a clear prediction for the collider observables and allows a sizable lepton flavor violation (LFV) signal, which can be probed in the generation of experiments
Summary
The fundamental particle nature of the dark matter (DM) is one of the most pressing questions in science. A more appealing approach would be, on the other hand, represented by connecting the solution of the DM puzzle to other phenomena, for example neutrino masses [22,23,24,25,26,27,28,29,30,31,32,33] Following this philosophy, we discuss, in this work, the possibility of generating lepton flavor violation (LFV) via dark matter in a UV complete model. One of them is a massive singly charged gauge boson, a W0, which has been extensively searched for at the Large Hadron Collider (LHC) [34,35,36,37] This new boson connects, through charged current interactions, the neutral Dirac fermions, and the SM charged leptons. We briefly discuss the particle content and key features of the model to facilitate our reasoning
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