Oscillation of heavy sterile neutrino in decay of $B\to \mu e\pi$

Abstract

In a scenario with two almost mass degenerate heavy sterile Majorana neutrinos with a mass $\sim 1$ GeV, we present the semileptonic decay widths of heavy charged pseudoscalars such as $B$ mesons, either lepton-number-violating ($B^{\pm }\to {\mu }^{\pm }{e}^{\pm }{\pi }^{\mp }$), or lepton-number-conserving ($B^{\pm }\to {\mu }^{\pm }{e}^{\mp }{\pi }^{\pm }$), mediated by such on-shell neutrinos. It had been explained in the literature that such decays may be eventually detected, and that they can present even detectable CP violation effects. In this work we point out that, in addition, such decays may present detectable effects of heavy neutrino oscillation, allowing us to extract the oscillation length and thus the heavy neutrino mass difference $\Delta M_N$, as well as a CP-violating Majorana phase.

18 pages,7 figures; minor improvements in presentation; the last paragraph in Sec.III is new; new Sec. V; Refs.[6a] and [27] are new; published in PRD

References in corpus (17)

• Neutrinos and Collider Physics
• Right-Handed Neutrinos at LHC and the Mechanism of Neutrino Mass Generation
• How to find neutral leptons of the nuMSM?
• Erratum: Assessment of uncertainties in QRPA $0\nu \beta \beta$-decay nuclear matrix elements [Nucl. Phys. A 766, 107 (2006)]
• Left-Right Symmetry: from LHC to Neutrinoless Double Beta Decay
• Sterile Neutrinos as the Origin of Dark and Baryonic Matter
• A Survey of Lepton Number Violation Via Effective Operators
• Direct Bounds on Electroweak Scale Pseudo-Dirac Neutrinos from $\sqrt{s}=8$ TeV LHC Data
• Resonant CP Violation due to Heavy Neutrinos at the LHC
• Lepton number violation at the LHC with leptoquark and diquark
• 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+
• Nearly degenerate heavy sterile neutrinos in cascade decay: mixing and oscillations
• Study Majorana Neutrino Contribution to B-meson Semi-leptonic Rare Decays
• CP Violation with Majorana neutrinos in K Meson Decays
• Space-time evolution of heavy sterile neutrinos in cascade decays

Cited by in corpus (40)

• Feebly-Interacting Particles:FIPs 2020 Workshop Report
• The Present and Future Status of Heavy Neutral Leptons
• Combining Experimental and Cosmological Constraints on Heavy Neutrinos
• Testing the low scale seesaw and leptogenesis
• Probing Leptogenesis
• A frequentist analysis of three right-handed neutrinos with GAMBIT
• Mapping the viable parameter space for testable leptogenesis
• On Lepton Number Violation in Heavy Neutrino Decays at Colliders
• Reinterpreting the ATLAS bounds on heavy neutral leptons in a realistic neutrino oscillation model
• An allowed window for heavy neutral leptons below the kaon mass
• Searching for a Sterile Neutrino in Tau Decays at B-factories
• Resonant CP violation in rare tau decay
• Rare decays of B mesons via on-shell sterile neutrinos
• Rare meson decays with three pairs of quasi-degenerate heavy neutrinos
• Bounds on right-handed neutrino parameters from observable leptogenesis
• Dirac vs. Majorana HNLs (and their oscillations) at SHiP
• Sensitivity limits on heavy-light mixing $|U_{\mu N}{|}^2$ from lepton number violating $B$ meson decays
• 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
• New Benchmark Models for Heavy Neutral Lepton Searches
• Exploring CP-Violating heavy neutrino oscillations in rare tau decays at Belle II
• Lepton Number Violation: Seesaw Models and Their Collider Tests
• Production of heavy sterile neutrinos from vector boson decay at electroweak temperatures
• Exploring CP-violation, via heavy neutrino oscillations, in rare B meson decays at Belle II
• Simulating lepton number violation induced by heavy neutrino-antineutrino oscillations at colliders
• Testing electroweak scale seesaw models at $e^{-}\gamma$ and $\gamma \gamma$ colliders
• Heavy Neutrino-Antineutrino Oscillations in Quantum Field Theory
• CP Violation in Rare Lepton-Number-Violating $W$ Decays at the LHC
• The case for mixed dark matter from sterile neutrinos
• Interference effect in lepton number violating and conserving meson decays for a left-right symmetric model
• Discovering heavy neutrino oscillations in rare Bc meson decays at HL-LHCb
• $\Delta$L=2 hyperon decays induced by Majorana neutrinos and doubly-charged scalars
• CP violation with GeV-scale Majorana neutrino in ${\Lambda }_b\to ({\Lambda }_c^{+},p^{+}){\pi }^{+}{\mu }^{-}{\mu }^{-}$ decays
• ALPs and HNLs at LHC and Muon Colliders: Uncovering New Couplings and Signals
• 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 $H\to {\nu }_k{N}_j\to {\nu }_k{\ell }^{+}\bar{U}D$
• Probe the Mixing Parameter $|V_{\tau N}{|}^2$ for Heavy Neutrinos
• Dirac-Majorana neutrinos distinction in four-body decays
• Rare Lepton-Number-Violating $W$ Decays at the LHC: CP Violation
• CP violation in $B_s$ decays mediated by two nearly-degenerate Majorana neutrinos