Probing the Majorana neutrinos and their CP violation in decays of charged scalar mesons $\pi ,K,D,D_s,B,B_c$

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 ${\pi }^{\pm }$, $K^{\pm }$ and $B^{\pm }$, 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 ($\nu$MSM) which could simultaneously explain the Dark Matter and Baryon Asymmetry of the Universe.

v3: 37 pages, 14 figures; minor typographical errors corrected; published in Symmetry

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Cited by in corpus (12)

• Rare meson decays with three pairs of quasi-degenerate heavy neutrinos
• Left-Right Symmetric Models at the High-Intensity Frontier
• Discovering intermediate mass sterile neutrinos through ${\tau }^{-}\to {\pi }^{-}{\mu }^{-}{e}^{+}\nu$ (or $\bar{\nu }$) decay
• Majorana Neutrino Masses from Neutrinoless Double-Beta Decays and Lepton-Number-Violating Meson Decays
• CP Violation in Rare Lepton-Number-Violating $W$ Decays at the LHC
• Majorana neutrinos with effective interactions in B decays
• Solar neutrinos, helicity effects and new affine gravity with torsion II
• The study of two quasi-degenerate heavy sterile neutrinos in rare meson decays
• CP violation with GeV-scale Majorana neutrino in ${\Lambda }_b\to ({\Lambda }_c^{+},p^{+}){\pi }^{+}{\mu }^{-}{\mu }^{-}$ decays
• Probing Sterile Neutrino via Lepton Flavor Violating Decays of Mesons
• Rare Lepton-Number-Violating $W$ Decays at the LHC: CP Violation
• CP violation in $B_s$ decays mediated by two nearly-degenerate Majorana neutrinos