Abstract
Some of the outstanding questions of particle physics today concern the neutrino sector, in particular whether there are more neutrinos than those already known and whether they are Dirac or Majorana particles. There are different ways to explore these issues. In this article we describe neutrino-mediated decays of charged pseudoscalar mesons such as π±,K± and B±, in scenarios where extra neutrinos are heavy and can be on their mass shell. We discuss semileptonic and leptonic decays of such kinds. We investigate possible ways of using these decays in order to distinguish between the Dirac and Majorana character of neutrinos. Further, we argue that there are significant possibilities of detecting CP violation in such decays when there are at least two almost degenerate Majorana neutrinos involved. This latter type of scenario fits well into the known neutrino minimal standard model (νMSM) which could simultaneously explain the Dark Matter and Baryon Asymmetry of the Universe.
Highlights
To date it is unclear whether the neutrinos we know are Dirac of Majorana fermions
In Appendices A.1 and A.2 we present explicit formulas for our lepton number violating (LNV) semileptonic decays, and in Appendices A.4 and A.5 explicit formulas needed for the analysis of our lepton number conserving (LNC) and LNV leptonic decays of the charged pion
We have studied lepton number violating (LNV) semileptonic decays of charged pseudoscalar mesons, π ±, K ±, D±, Ds±, B ± and Bc±, mediated by heavy neutrinos that can go on their mass shell
Summary
To date it is unclear whether the neutrinos we know are Dirac of Majorana fermions. Unlike. In the first part of this work we discuss lepton number violating (LNV) semileptonic decays of charged pseudoscalar mesons such as K ± and B ± , mediated by a heavy Majorana neutrino on its mass shell, cf Ref.
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