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The $\mu^-e^-\to e^-e^-$ process in a muonic atom is one of the promisingprobes to study the charged lepton flavor violation (CLFV). We haveinvestigated the angular distribution of electrons from the polarized muon ofthe atomic bound state. The parity violating asymmetric distribution ofelectrons is analyzed by using lepton wave functions under the Coulombinteraction of a finite nuclear charge distribution. It is found that theasymmetry parameters of electrons are very sensitive to the chiral structure ofthe CLFV interaction and the contact/photonic interaction. Therefore, togetherwith the atomic number dependence of the decay rate studied in our previouswork, the angular distribution of electrons from a polarized muon should be avery useful tool to constrain the model beyond the standard model.

physical review. d/physical review. d.

Momentum distribution of the electron pair from the charged lepton  flavor violating process $\mu^-e^-\to e^-e^-$ in muonic atoms with a  polarized muon