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Probing Majorana neutrinos in rare pi+ to e+ e+ mu- nu decays
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We study the rare decays of charged \pi\ mesons, \pi+ to e+ e+ \mu- anti-\nu_\mu\ and \pi+ to e+ \mu- e+ \nu_e, induced by a sterile neutrino N with a mass in the range m_\mu < m_N < m_\pi. The first process violates Lepton Number by two units and so occurs only if N is Majorana, while the second process conserves Lepton Number and occurs irrespective of the Majorana or Dirac character of N. We study a way to distinguish the Majorana vs. Dirac character of N in these processes using the muon spectrum. We also find that the branching ratios could be at the reach of high luminosity experiments like Project X at FNAL or any proposed neutrino (or muon) factories worldwide.
Forward citations
Cited by 2 Pith papers
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Searching for a Sterile Neutrino in Tau Decays at B-factories
A displaced-vertex search in tau decays at BaBar, Belle, and Belle II could set limits on tau-mixing sterile neutrinos below the current DELPHI bound.
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Probing sterile neutrino in $B$ ($D$) meson decays at Belle II (BESIII)
A missing-mass search in semileptonic B decays at Belle II could constrain or discover GeV-scale sterile neutrinos, with sensitivity comparable to or better than upgraded LHCb for masses below 2 GeV.
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