The study of two quasi-degenerate heavy sterile neutrinos in rare meson decays

Abstract

In this work, we study the lepton-number-violating processes of $K^{\pm }$ and $D^{\pm }$ mesons. Two quasi-degenerate sterile neutrinos are assumed to induce such processes. Different with the case where only one sterile neutrino involves, here, the CP phases of the mixing parameters could give sizable contribution. This, in turn, would affect the absolute values of the mixing parameters determined by the experimental upper limits of the branching fractions. A general function which express the difference of the mixing parameters for two-generation and one-generation is presented. Special cases with specific relations of the parameters are discussed. Besides, we also thoroughly investigate the CP violation effect of such processes. It is shown that generally ${\mathcal{A}}_{CP}$ is a function of the sterile neutrino mass.

arXiv comment14 pages, 10 figures

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Cited by in corpus (8)

• CP Violation in Rare Lepton-Number-Violating $W$ Decays at the LHC
• Discovering heavy neutrino oscillations in rare Bc meson decays at HL-LHCb
• Resonant Majorana neutrino effects in $\Delta$L=2 four-body hyperon decays
• Search for heavy Majorana neutrinos at future lepton colliders
• Measuring CP violation in rare $W$ decays at the LHC
• Rare Lepton-Number-Violating $W$ Decays at the LHC: CP Violation
• Lepton number violating and conserving heavy baryon four-body decays in the presence of two almost degenerate heavy neutrinos
• CP violation in $B_s$ decays mediated by two nearly-degenerate Majorana neutrinos