CP violation in $B_s$ decays mediated by two nearly-degenerate Majorana neutrinos

Abstract

We study the \textit{CP} violation in the lepton-number-violating process $B_s^0\to D_s^{-}{\mu }^{+}{\mu }^{+}{\pi }^{-}$ and its \textit{CP}-conjugate process $\overline{B_s^0}\to D_s^{+}{\mu }^{-}{\mu }^{-}{\pi }^{+}$ that are induced by two GeV-scale Majorana neutrinos with nearly-degenerate masses. Our result shows that the size of the \textit{CP} violation could become considerable if the mass difference between the two Majorana neutrinos is around the decay width of the neutrinos. We perform experimental analysis on the \textit{CP}-violating processes at LHCb within its upgrade II. The analysis shows that under current constraint on the heavy-light neutrino mixing parameter, it is possible that such \textit{CP} violation is observed with the LHCb experimental ability. We also give the upper bound on the heavy-light mixing parameter $|U_{\mu N}{|}^2$ under the assumption that no positive signal of the process is observed. The result shows that such modes can give complementary constraint compared with previous experiments such as NuTeV, BEBC, etc. in the mass region 1~GeV $<m_N<$ 3~GeV.

16 pages, 8 figures, version for publication

References in corpus (18)

• Observation of electron-antineutrino disappearance at Daya Bay
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• How to find neutral leptons of the nuMSM?
• Sterile Neutrinos as the Origin of Dark and Baryonic Matter
• Search for Majorana neutrinos in $B^{-}\to {\pi }^{+}{\mu }^{-}{\mu }^{-}$ decays
• Same Sign versus Opposite Sign Dileptons as a Probe of Low Scale Seesaw Mechanisms
• Probing the Majorana neutrinos and their CP violation in decays of charged scalar mesons $\pi ,K,D,D_s,B,B_c$
• Remarks on the lifetime of sterile neutrinos and the effect on detection of rare meson decays M+ -> M'- lepton+ lepton+
• Lepton number violating four-body tau lepton decays
• First observation of the decay $B_s^0\to K^{-}{\mu }^{+}{\nu }_{\mu }$ and a measurement of $|V_{ub}|/|V_{cb}|$
• Lepton number violation by heavy Majorana neutrino in $B$ decays
• CP Violation with Majorana neutrinos in K Meson Decays
• Exploring CP-violation, via heavy neutrino oscillations, in rare B meson decays at Belle II
• $\Delta L=2$ hyperon semileptonic decays
• CP Violation in Rare Lepton-Number-Violating $W$ Decays at the LHC
• The study of two quasi-degenerate heavy sterile neutrinos in rare meson decays
• Searching for lepton number violating $\Lambda$ baryon decays mediated by GeV-scale Majorana neutrino with LHCb