Search for lepton-number-violating signals in the charm sector

Abstract

We explore signals of lepton-number-violation in the charm physics sector. We study the four-body $|\Delta L|=2$ decays of the $D^0$ meson, $D^0\to P^{-}{\pi }^{-}{\mu }^{+}{\mu }^{+}$ ($P=\pi ,K$) as an alternative evidence of the Majorana nature of neutrinos. We carry out an exploratory study on the potential sensitivity that LHCb experiment could achieve for these $|\Delta L|=2$ processes. We show that for a long term expected integrated luminosity of 300 fb${}^{-1}$, a signal significance of branching ratios of the order $\mathcal{O}(10^{-9})$ might be accessible, allowing to improve the experimental bounds obtained by the E791 experiment. Limits on the parameter space of a heavy sterile neutrino that could be obtained from their experimental search are discussed as well.

9 pages, 8 figures. V3: title modified, matches with version published in Phys. Rev. D

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Cited by in corpus (15)

• Sensitivity of Lepton Number Violating Meson Decays in Different Experiments
• Measuring the heavy neutrino oscillations in rare W boson decays at the Large Hadron Collider
• Sensitivity bounds on heavy neutrino mixing $|U_{\mu N}{|}^2$ and $|U_{\tau N}{|}^2$ from LHCb upgrade
• Exploring CP-Violating heavy neutrino oscillations in rare tau decays at Belle II
• Search for heavy Majorana neutrino in lepton number violating decays of D-> K pi e+ e+
• The study of two quasi-degenerate heavy sterile neutrinos in rare meson decays
• Search for lepton-flavor violating decays $D^0\to X^0{e}^{\pm }{\mu }^{\mp }$
• Searching for lepton number violating $\Lambda$ baryon decays mediated by GeV-scale Majorana neutrino with LHCb
• Discovering heavy neutrino oscillations in rare Bc meson decays at HL-LHCb
• CP violation with GeV-scale Majorana neutrino in ${\Lambda }_b\to ({\Lambda }_c^{+},p^{+}){\pi }^{+}{\mu }^{-}{\mu }^{-}$ decays
• 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
• CP violation in the rare Higgs decays via exchange of on-shell almost degenerate Majorana neutrinos, $H\to {\nu }_k{N}_j\to {\nu }_k{\ell }^{-}U\bar{D}$ and $H\to {\nu }_k{N}_j\to {\nu }_k{\ell }^{+}\bar{U}D$
• Probing Sterile Neutrino via Lepton Flavor Violating Decays of Mesons
• CP violation in $B_s$ decays mediated by two nearly-degenerate Majorana neutrinos