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#### A Call for New Physics : The Muon Anomalous Magnetic Moment and Lepton Flavor Violation

##### MPG-Autoren
/persons/resource/persons30768

Lindner,  Manfred
Division Prof. Dr. Manfred Lindner, MPI for Nuclear Physics, Max Planck Society;

/persons/resource/persons186035

Platscher,  Moritz
Division Prof. Dr. Manfred Lindner, MPI for Nuclear Physics, Max Planck Society;

/persons/resource/persons179827

Queiroz,  Farinaldo
Division Prof. Dr. Manfred Lindner, MPI for Nuclear Physics, Max Planck Society;

1610.06587.pdf
(Preprint), 6MB

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##### Zitation

A Call for New Physics: The Muon Anomalous Magnetic Moment and Lepton Flavor Violation [Special Issue]. (2018). Physics Reports: Review Section of Physics Letters, 731.

We review how the muon anomalous magnetic moment ($g-2$) and the quest for lepton flavor violation are intimately correlated. Indeed the decay $\mu \to e \gamma$ is induced by the same amplitude for different choices of in- and outgoing leptons. In this work, we try to address some intriguing questions such as: Which hierarchy in the charged lepton sector one should have in order to reconcile possible signals coming simultaneously from $g-2$ and LFV? What can we learn if the $g-2$ anomaly is confirmed by the upcoming flagship experiments at FERMILAB and J-PARC, and no signal is seen in the decay $\mu \rightarrow e\gamma$ in the foreseeable future? On the other hand, if the $\mu \rightarrow e\gamma$ decay is seen in the upcoming years, do we need to necessarily observe a signal also in $g-2$? In this attempt, we generally study the correlation between the two phenomena in a detailed analysis of simplified models. We derive master integrals and fully analytical and exact expressions for both phenomena. We investigate under which conditions the observations can be made compatible and discuss their implications. Lastly, we discuss in this context several extensions of the SM, such as the Minimal Supersymmetric Standard Model, Left-Right symmetric model, $B-L$ model, scotogenic model, two Higgs doublet model, Zee-Babu model, 3-3-1 model, and $L_{\mu}-L_{\tau}$ models.