Sensitivity of Lepton Number Violating Meson Decays in Different Experiments

Abstract

We study the discovery prospect of different three body lepton number violating~(LNV) meson decays $M_1^{-}\to {\ell }_1^{-}{\ell }_2^{-}{M}_2^{+}$ in the framework of right handed~(RH) neutrino extended Standard Model~(SM). We consider a number of ongoing experiments, such as, NA62 and LHCb at CERN, Belle II at SuperKEK, as well as at the proposed future experiments, SHiP, MATHUSLA and FCC-ee. The RH Majorana neutrino $N$ mediating these meson decays provides a resonant enhancement of the rates, if the mass of $N$ lies in the range $(100\text{MeV}-6\text{GeV})$. We consider the effect of parent mesons velocity, as well as, the effect of finite detector size. Using the expected upper limits on the number of events for the LNV decay modes, $M_1^{-}\to {\ell }_1^{-}{\ell }_2^{-}{\pi }^{+}$~($M_1=B,B_c,D,D_s\text{and}K$), we analyze the sensitivity reach of the mixing angles $|V_{eN}{|}^2$, $|V_{\mu N}{|}^2$, $|V_{\tau N}{|}^2$, $|V_{eN}{V}_{\mu N}|$, $|V_{eN}{V}_{\tau N}|$ and $|V_{\mu N}{V}_{\tau N}|$ as a function of heavy neutrino mass $M_N$. We show that, inclusion of parent meson velocity can account to a large difference for active-sterile mixing, specially for $D$, $D_s$ meson decay at SHiP and $K$ meson decay at NA62. Taking into account the velocity of the $D_s$ meson, the future beam dump experiment SHiP can probe $|V_{eN}{|}^2\sim 10^{-9}$. For RH neutrino mass in between 2 - 5 GeV, MATHUSLA can provide best sensitivity reach of active-sterile mixings.

40 pages, 46 figures

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• How to find neutral leptons of the nuMSM?
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• Search for Majorana neutrinos in $B^{-}\to {\pi }^{+}{\mu }^{-}{\mu }^{-}$ decays
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• Double Bangs from New Physics in IceCube
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• Sterile neutrino searches via displaced vertices at LHCb
• Search for heavy neutral lepton production in $K^{+}$ decays
• Measurement of $B_c^{+}$ production in proton-proton collisions at $\sqrt{s}=8$ TeV
• Searching for a Sterile Neutrino in Tau Decays at B-factories
• Lepton number violation by heavy Majorana neutrino in $B$ decays
• Lepton-Jets and Low-Mass Sterile Neutrinos at Hadron Colliders
• Heavy neutrinos from gluon fusion
• Perspectives for tests of neutrino mass generation at the GeV scale: Experimental reach versus theoretical predictions
• Roles of sterile neutrinos in particle physics and cosmology

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• Phenomenology of the simplest linear seesaw mechanism
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• Testing electroweak scale seesaw models at $e^{-}\gamma$ and $\gamma \gamma$ colliders
• Neutrino Masses from Low Scale Partial Compositeness
• New limits on neutrino non-standard mixings based on prescribed singular values
• Effective field theory approach to lepton number violating $\tau$ decays
• Sensitivity Reach on the Heavy Neutral Leptons and $\tau$-Neutrino Mixing $|U_{\tau N}{|}^2$ at the HL-LHC
• Light sterile neutrinos and lepton-number-violating kaon decays in effective field theory
• Testing tree level TeV scale seesaw scenarios in $\mu$TRISTAN
• Angular and polarization observables for Majorana-mediated B decays with effective interactions
• Interference effect in lepton number violating and conserving meson decays for a left-right symmetric model
• Searching for lepton number violating $\Lambda$ baryon decays mediated by GeV-scale Majorana neutrino with LHCb
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• Modelling Heavy Neutral Leptons in Accelerator Beamlines
• Heavy Neutral Leptons at Beam Dump Experiments of Future Lepton Colliders
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• Large lepton number violation at colliders: predictions from the minimal linear seesaw mechanism
• Sterile neutrinos in ${\Lambda }_b^0\to ({\Lambda }_c^{+},p^{+}){\ell }_1^{-}{\ell }_2^{-}{\ell }_3^{+}\nu$ decays
• Right handed neutrino production from $Z^{\prime }$ interactions in forward search experiments
• Constraints on Heavy Neutral Leptons interacting with a singlet scalar
• QCD Running in Lepton Number Violating Meson and Tau Decays
• Characterizing Heavy Neutral Fermions via their Decays
• CP violation in $B_s$ decays mediated by two nearly-degenerate Majorana neutrinos