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We propose a new experiment to search for a time-reversal (T) symmetrybreaking process in muon decay and the Majoranality of the neutrinos. In thepresence of V+A interactions, the Majoranality appears as a T-violating term inthe muon decay width as shown by Doi et al, while in the Standard Model such aT-violating term is negligibly small. The presences of V+A interactions and thecorresponding heavy right-handed Majorana neutrinos give us an important clueto solve two major issues in particle physics, the deficit of baryon asymmetryin the universe and the Majoranality of neutrinos. In the experiment, thepolarization of positrons from muon decays is measured using a polarimeterconsisting of a magnetized foil and a segmented calorimeter. According to ourresult of numerical calculation, a factor of ten improvement in sensitivity tothe T-violating process is expected by a year of measurement at J-PARCMaterials and Life Science Experimental Facility, compared to the most recentprecursor experiment.

Hunting for T-violation and Majoranality of Neutrinos in Muon Decays