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.

14 pages, 10 figures

References in corpus (5)

• Probing the Majorana neutrinos and their CP violation in decays of charged scalar mesons $\pi ,K,D,D_s,B,B_c$
• Lepton-Number Violating Decays of Heavy Mesons
• Lepton number violation by heavy Majorana neutrino in $B$ decays
• Study Majorana Neutrino Contribution to B-meson Semi-leptonic Rare Decays
• CP Violation with Majorana neutrinos in K Meson Decays

Cited by in corpus (8)

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• 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