Discovering intermediate mass sterile neutrinos through ${\tau }^{-}\to {\pi }^{-}{\mu }^{-}{e}^{+}\nu$ (or $\bar{\nu }$) decay

Abstract

Distinguishing the Dirac and Majorana nature of neutrinos remains one of the most important tasks in neutrino physics. By assuming that the ${\tau }^{-}\to {\pi }^{-}{\mu }^{-}{e}^{+}\nu$ (or $\bar{\nu }$) decay is resonantly enhanced by the exchange of an intermediate mass sterile neutrino $N$, we show that the energy spectrum of emitted pions and muons can be used to easily distinguish between the Dirac and Majorana nature of $N$. This method takes advantage of the fact that the flavor of light neutrinos is not identified in the tau decay under consideration. We find that it is particularly advantageous, because of no competing background events, to search for $N$ in the mass range $m_e+m_{\mu }⩽m_N⩽m_{\mu }+m_{\pi }$, where $m_X$ denotes the mass of particle $X\in \{e,\mu ,\pi ,N\}$.

6 pages, 5 figures, accepted for publication in Physical Review D

References in corpus (6)

• Search for Majorana neutrinos in $B^{-}\to {\pi }^{+}{\mu }^{-}{\mu }^{-}$ decays
• Probing the Majorana neutrinos and their CP violation in decays of charged scalar mesons $\pi ,K,D,D_s,B,B_c$
• Probing leptogenesis with GeV-scale sterile neutrinos at LHCb and BELLE II
• Remarks on the lifetime of sterile neutrinos and the effect on detection of rare meson decays M+ -> M'- lepton+ lepton+
• Lepton number violating four-body tau lepton decays
• Scattering processes could distinguish Majorana from Dirac neutrinos