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 (16)

• 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
• Searches for Lepton Number Violation and Resonances in $K^{\pm }\to \pi \mu \mu$ Decays
• Lepton number violating four-body tau lepton decays
• Lepton-Number Violating Decays of Heavy Mesons
• Probing the Weinberg Operator at Colliders
• 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
• A quantitative study on helicity inversion in Majorana neutrino decays at the LHC
• Discovering intermediate mass sterile neutrinos through ${\tau }^{-}\to {\pi }^{-}{\mu }^{-}{e}^{+}\nu$ (or $\bar{\nu }$) decay
• Exploring CP-violation, via heavy neutrino oscillations, in rare B meson decays at Belle II
• Searching for lepton number violating $\Lambda$ baryon decays mediated by GeV-scale Majorana neutrino with LHCb
• Looking for signals beyond the neutrino Standard Model

Cited by in corpus (5)

• $\Delta$L=2 hyperon decays induced by Majorana neutrinos and doubly-charged scalars
• Resonant Majorana neutrino effects in $\Delta$L=2 four-body hyperon decays
• Sterile neutrinos in ${\Lambda }_b^0\to ({\Lambda }_c^{+},p^{+}){\ell }_1^{-}{\ell }_2^{-}{\ell }_3^{+}\nu$ decays
• Dirac-Majorana neutrinos distinction in four-body decays
• Lepton number violating and conserving heavy baryon four-body decays in the presence of two almost degenerate heavy neutrinos