Lepton number violation in $B_s$ meson decays induced by an on-shell Majorana neutrino

Abstract

Lepton-number violation can be induced by the exchange of an on-shell Majorana neutrino $N$ in semileptonic $|\Delta L|=2$ decays of the $B_s$ meson, $B_s^0\to P^{-}{\pi }^{-}{\mu }^{+}{\mu }^{+}$ with $P=K,D_s$. We investigate the production of such a heavy sterile neutrino through these four-body ${\mu }^{+}{\mu }^{+}$ channels and explore the sensitivity that can be reached at the LHCb and CMS experiments. For heavy neutrino lifetimes of ${\tau }_N$ = [1, 100, 1000] ps and integrated luminosities collected of 10 and 50 fb${}^{-1}$ at the LHCb and 30, 300, and 3000 fb${}^{-1}$ at the CMS, we find a significant sensitivity on branching fractions of the orders $\mathrm{BR}(B_s^0\to K^{-}{\pi }^{-}{\mu }^{+}{\mu }^{+})\lesssim \mathcal{O}(10^{-9}-10^{-8})$ and $\mathrm{BR}(B_s^0\to D_s^{-}{\pi }^{-}{\mu }^{+}{\mu }^{+})\lesssim \mathcal{O}(10^{-8}-10^{-7})$. In the kinematically allowed mass ranges of $m_N\in [0.25,4.77]$ GeV and $m_N\in [0.25,3.29]$ GeV, respectively, we exclude regions on the parameter space ($m_N,|V_{\mu N}{|}^2$) associated with the heavy neutrino, which could slightly improve the limits from $B^{-}\to {\pi }^{+}{\mu }^{-}{\mu }^{-}$ (LHCb).

11 pages, 6 figures. V3: discussion in Sec. IV improved, matches with version published in Phys. Rev. D. arXiv admin note: substantial text overlap with arXiv:1705.10606, arXiv:1604.03177

References in corpus (26)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of summer 2016
• Phenomenology with Massive Neutrinos
• Description and performance of track and primary-vertex reconstruction with the CMS tracker
• Background free search for neutrinoless double beta decay with GERDA Phase II
• Sterile Neutrinos as the Origin of Dark and Baryonic Matter
• Search for Neutrinoless Double-Beta Decay with the Upgraded EXO-200 Detector
• Search for Majorana neutrinos in $B^{-}\to {\pi }^{+}{\mu }^{-}{\mu }^{-}$ decays
• $B_s\to K\ell \nu$ form factors from lattice QCD
• Arbitrary mass Majorana neutrinos in neutrinoless double beta decay
• Search for massive long-lived particles decaying semileptonically in the LHCb detector
• 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
• Remarks on the lifetime of sterile neutrinos and the effect on detection of rare meson decays M+ -> M'- lepton+ lepton+
• $B_s\to D_s\ell \nu$ Form Factors and the Fragmentation Fraction Ratio $f_s/f_d$
• 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
• Resonant CP violation in rare tau decay
• Lepton number violation by heavy Majorana neutrino in $B$ decays
• Study Majorana Neutrino Contribution to B-meson Semi-leptonic Rare Decays
• Rare meson decays with three pairs of quasi-degenerate heavy neutrinos
• CP Violation with Majorana neutrinos in K Meson Decays
• Sensitivity limits on heavy-light mixing $|U_{\mu N}{|}^2$ from lepton number violating $B$ meson decays
• Exploring GeV-scale Majorana neutrinos in lepton-number-violating ${\Lambda }_b^0$ baryon decays
• Perspectives for tests of neutrino mass generation at the GeV scale: Experimental reach versus theoretical predictions
• Testing the nature of neutrinos from four-body $\tau$ decays

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• Exploring CP-Violating heavy neutrino oscillations in rare tau decays at Belle II
• Search for lepton-number-violating signals in the charm sector
• Light sterile neutrinos and lepton-number-violating kaon decays in effective field theory
• 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
• Study Standard Model and Majorana Neutrino Contributions to $B^{+}\to K^{(\ast )\pm }{\mu }^{+}{\mu }^{\mp }$
• 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 $H\to {\nu }_k{N}_j\to {\nu }_k{\ell }^{+}\bar{U}D$
• QCD Running in Lepton Number Violating Meson and Tau Decays
• CP violation in $B_s$ decays mediated by two nearly-degenerate Majorana neutrinos