Lepton-number violating four-body decays of heavy mesons

Abstract

Neutrinoless hadron Lepton Number Violating (LNV) decays can be induced by virtual Majorana neutrino, which in turn indubitably show the Majorana nature of neutrinos. Many three-body LNV processes and Lepton Flavour Violating (LFV) processes have been studied extensively in theory and by experiment. As a supplement, we here study 75 four-body LNV (LFV) processes from heavy pseudoscalar $B$ and $D$ decays. Most of these processes have not been studied in theory and searched for in experiment, while they may have sizable decay rates. Since the four-body decay modes have the same vertexes and mixing parameters with three-body cases, so their branching fractions are comparable with the corresponding three-body decays. We calculate their decay widths and branching fractions with current bounds on heavy Majorana neutrino mixing parameters, and estimate some channels' reconstruction events using the current experimental data from Belle.

20 pages, 7 figures

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• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Signatures for Majorana neutrinos at hadron colliders
• Relativistic treatment of the decay constants of light and heavy mesons
• Correlative signatures of heavy Majorana neutrinos and doubly-charged Higgs bosons at the Large Hadron Collider
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Cited by in corpus (25)

• Neutrinos and Collider Physics
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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
• Study Majorana Neutrino Contribution to B-meson Semi-leptonic Rare Decays
• Favoured $B_c$ Decay modes to search for a Majorana neutrino
• Search for lepton-number-violating signals in the charm sector
• Monojet search for heavy neutrinos at future $Z$-factories
• Lepton number violation in $B_s$ meson decays induced by an on-shell Majorana neutrino
• Discovering intermediate mass sterile neutrinos through ${\tau }^{-}\to {\pi }^{-}{\mu }^{-}{e}^{+}\nu$ (or $\bar{\nu }$) decay
• Exploring GeV-scale Majorana neutrinos in lepton-number-violating ${\Lambda }_b^0$ baryon decays
• Testing the nature of neutrinos from four-body $\tau$ decays
• Four-body decays of $B$ meson with lepton number violation
• The study of two quasi-degenerate heavy sterile neutrinos in rare meson decays
• Search for lepton-flavor violating decays $D^0\to X^0{e}^{\pm }{\mu }^{\mp }$
• Study Standard Model and Majorana Neutrino Contributions to $B^{+}\to K^{(\ast )\pm }{\mu }^{+}{\mu }^{\mp }$
• Search for rare or forbidden decays of the $D^0$ meson
• CP violation with GeV-scale Majorana neutrino in ${\Lambda }_b\to ({\Lambda }_c^{+},p^{+}){\pi }^{+}{\mu }^{-}{\mu }^{-}$ decays
• $\Delta$L=2 hyperon decays induced by Majorana neutrinos and doubly-charged scalars
• Doubly-charged scalar in rare decays of $B_c$ meson
• Sterile neutrinos in ${\Lambda }_b^0\to ({\Lambda }_c^{+},p^{+}){\ell }_1^{-}{\ell }_2^{-}{\ell }_3^{+}\nu$ decays
• Dark Matter and Neutrino Masses in a Portalino-like Model
• Dirac-Majorana neutrinos distinction in four-body decays
• Search for the lepton number violation decay $\omega \to {\pi }^{+}{\pi }^{+}{e}^{-}{e}^{-}+c.c.$
• Doubly-charged scalar in four-body decays of neutral flavored mesons