CP Violation with Majorana neutrinos in K Meson Decays

Abstract

We study the possibility of having CP asymmetries in the decay Kaon(+/-) -> pion(-/+) lepton(+/-) lepton(+/-) (lepton = muon or electron). This decay violates Lepton Number by two units and occurs only if there are Majorana particles that mediate the transition. Even though the absolute rate is highly suppressed by current bounds, we search for Majorana neutrino scenarios where the CP asymmetry arising from the lepton sector could be sizeable. This is indeed the case if there are two or more Majorana neutrinos with similar masses in the range around 10^2 MeV. In particular, the asymmetry is potentially near unity if two neutrinos are nearly degenerate, in the sense that the mass difference is similar to the decay rate. The full decay, however, may be difficult to detect not only because of the suppression caused by the heavy-to-light lepton mixing, but also because of the long lifetime of the heavy neutrino, which would induce large space separation between the two vertices where the charge leptons are produced. This particular problem should be less serious in heavier meson decays, as they involve heavier neutrinos with shorter lifetimes.

arXiv comment13 pages, 5 figures

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• Sensitivity to Majorana neutrinos in $\Delta L=2$ decays of $B_c$ meson at LHCb
• Searching for a Sterile Neutrino in Tau Decays at B-factories
• Resonant CP violation in rare tau decay
• Rare decays of B mesons via on-shell sterile neutrinos
• Rare meson decays with three pairs of quasi-degenerate heavy neutrinos
• Sensitivity limits on heavy-light mixing $|U_{\mu N}{|}^2$ from lepton number violating $B$ meson decays
• Sensitivity bounds on heavy neutrino mixing $|U_{\mu N}{|}^2$ and $|U_{\tau N}{|}^2$ from LHCb upgrade
• Pair production of heavy neutrinos in next-to-leading order QCD at the hadron colliders in the inverse seesaw framework
• Exploring CP-Violating heavy neutrino oscillations in rare tau decays at Belle II
• Search for lepton-number-violating signals in the charm sector
• Lepton number violation in $B_s$ meson decays induced by an on-shell Majorana neutrino
• Exploring CP-violation, via heavy neutrino oscillations, in rare B meson decays at Belle II
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• CP Violation in Rare Lepton-Number-Violating $W$ Decays at the LHC
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• CP violation in $B_s$ decays mediated by two nearly-degenerate Majorana neutrinos
• Rare Lepton-Number-Violating $W$ Decays at the LHC: CP Violation