CP violation with GeV-scale Majorana neutrino in ${\Lambda }_b\to ({\Lambda }_c^{+},p^{+}){\pi }^{+}{\mu }^{-}{\mu }^{-}$ decays

Abstract

We explore the possibility of CP violation in baryonic ${\Lambda }_b\to ({\Lambda }_c^{+},p^{+}){\pi }^{+}{\mu }^{-}{\mu }^{-}$ decays which are mediated by two Majorana sterile neutrino and are $|\Delta L|=2$ lepton number violating processes. Appreciable CP asymmetry can be obtained if there are two on-shell Majorana neutrinos that are quasi-degenerate in mass with the mass difference of the order of average decay widths. We find that given the present constraints on the heavy to light mixing element $|V_{\mu N}|$, the ${\Lambda }_b\to p^{+}{\pi }^{+}{\mu }^{-}{\mu }^{-}$ and ${\Lambda }_b\to {\Lambda }_c^{+}{\pi }^{+}{\mu }^{-}{\mu }^{-}$ decay rates are suppressed but could be within the experimental reach at the LHC. If searches of the modes are performed, then experimental limits on the rates can be translated to constraints on the Majorana neutrino mass $m_N$ and heavy to light mixing element squared $|V_{\mu N}{|}^2$. We show that the constraints on the $(m_N,|V_{\mu N}{|}^2)$ parameter space coming from the $|\Delta L|=2$ baryonic decays are complementary to the bounds coming from other processes.

21 pages, 4 figures

References in corpus (13)

• Right-Handed Neutrinos at LHC and the Mechanism of Neutrino Mass Generation
• Search for Majorana neutrinos in $B^{-}\to {\pi }^{+}{\mu }^{-}{\mu }^{-}$ decays
• Probing the Majorana neutrinos and their CP violation in decays of charged scalar mesons $\pi ,K,D,D_s,B,B_c$
• Probing leptogenesis with GeV-scale sterile neutrinos at LHCb and BELLE II
• Lepton number violating four-body tau lepton decays
• Searches for Lepton Number Violation and Resonances in $K^{\pm }\to \pi \mu \mu$ Decays
• Lepton-Number Violating Decays of Heavy Mesons
• Majorana Neutrinos in Same-Sign $W^{\pm }{W}^{\pm }$ Scattering at the LHC: Breaking the TeV Barrier
• Rare meson decays with three pairs of quasi-degenerate heavy neutrinos
• CP Violation with Majorana neutrinos in K Meson Decays
• Discovering intermediate mass sterile neutrinos through ${\tau }^{-}\to {\pi }^{-}{\mu }^{-}{e}^{+}\nu$ (or $\bar{\nu }$) decay
• Searching for lepton number violating $\Lambda$ baryon decays mediated by GeV-scale Majorana neutrino with LHCb
• Looking for signals beyond the neutrino Standard Model