Abstract

Heavy Majorana neutrinos are predicted in addition to ordinary active neutrinos in the models with the seesaw mechanism. We investigate the lepton number violation (LNV) in $B$ decays induced by such a heavy neutrino $N$ with GeV-scale mass. Especially, we consider the decay channel $B^+ \to \mu^+ \, N \to \mu^+ \mu^+ \pi^-$ and derive the sensitivity limits on the mixing angle $\Theta_\mu$ by the future search experiments at Belle II and in $e^+ e^-$ collisions at the Future Circular Collider (FCC-ee).

Highlights

  • The discovery of neutrino oscillations, showing the non-zero neutrino masses, has opened the door to physics beyond the Standard Model (SM)

  • Heavy neutrino is an well-motivated particle in the models of neutrino masses

  • Such heavy particles are attractive since they can account for the baryon asymmetry of the universe (BAU) via leptogenesis [3]

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Summary

Introduction

The discovery of neutrino oscillations, showing the non-zero neutrino masses, has opened the door to physics beyond the Standard Model (SM). One of the most attractive examples is the model with the canonical seesaw mechanism [2] where right-handed neutrinos are introduced with Majorana masses In this case the mass eigenstates are three active neutrinos and heavy neutrinos, and both neutrinos are Majorana particles. The LNV process e−e− → W −W − (called as the inverse neutrinoless double beta decay [12]) is another interesting possibility to test the Majorana property of heavy neutrino. Various aspects of this process have been investigated so far [13]. The expected limits on the mixing of heavy neutrino by Belle II [27] and the e+e− collisions on Z -pole at the future circular collider (FCC-ee) [28] will be presented

Heavy Majorana neutrino
Search at Belle II
Search at FCC-ee
Summary

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