Testing the nature of neutrinos from four-body $\tau$ decays

Abstract

This paper is designed to discuss four-body lepton number violating tau decay. We study the processes ${\tau }^{+}\to e^{+}{e}^{+}{\pi }^{-}{\nu }_{\tau }$ and ${\tau }^{+}\to e^{+}{e}^{+}{\pi }^{-}{\nu }_e$ to determine the nature of neutrino. The first process violates lepton number by two units which can only happen through an internal Majorana. The second one conserves lepton number but violates lepton flavor which can take place with both Majorana neutrino and Dirac neutrino. We calculate their branching ratio $Br$ and differential branching ratio $dBr/d{E}_{\pi }$ to distinguish Majorana neutrino vs. Dirac neutrino. We also propose the possibility of experiment to perform this detection.

References in corpus (45)

• Evidence for oscillation of atmospheric neutrinos
• First Results from KamLAND: Evidence for Reactor Anti-Neutrino Disappearance
• Observation of electron-antineutrino disappearance at Daya Bay
• Sterile Neutrinos as Dark Matter
• Cosmological parameter analysis including SDSS Ly-alpha forest and galaxy bias: constraints on the primordial spectrum of fluctuations, neutrino mass, and dark energy
• Measurement of the Total Active 8B Solar Neutrino Flux at the Sudbury Neutrino Observatory with Enhanced Neutral Current Sensitivity
• Leptogenesis as the origin of matter
• Search for Lepton Flavor Violating Tau Decays into Three Leptons with 719 Million Produced Tau+Tau- Pairs
• Measurement of J/psi production in pp collisions at sqrt(s)=7 TeV
• Effects of new leptons in Electroweak Precision Data
• Implications of LHCb measurements and future prospects
• Atmospheric neutrino oscillation analysis with sub-leading effects in Super-Kamiokande I, II, and III
• Measurements of prompt charm production cross-sections in $pp$ collisions at $\sqrt{s}=13\mathrm{TeV}$
• Measurement of $W^{\pm }$ and $Z$-boson production cross sections in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for Majorana neutrinos in $B^{-}\to {\pi }^{+}{\mu }^{-}{\mu }^{-}$ decays
• Measurement of the Double Beta Decay Half-life of 150-Nd and Search for Neutrinoless Decay Modes with the NEMO-3 Detector
• Measurement of inclusive W and Z boson production cross sections in pp collisions at sqrt(s) = 8 TeV
• Lepton Number Violation in Higgs Decay at LHC
• Arbitrary mass Majorana neutrinos in neutrinoless double beta decay
• Measurement of forward $J/\psi$ production cross-sections in $pp$ collisions at $\sqrt{s}=13$ TeV
• Probing Majorana neutrinos in rare K and D, D_s, B, B_c meson decays
• Implications of Improved Upper Bounds on $|\Delta L|=2$ Processes
• Multi-Lepton Collider Signatures of Heavy Dirac and Majorana Neutrinos
• Heavy sterile neutrinos and supernova explosions
• Probing the Majorana neutrinos and their CP violation in decays of charged scalar mesons $\pi ,K,D,D_s,B,B_c$
• Search for heavy Majorana neutrinos in mu+mu+[mu-mu-]+jets and e+e+[e-e-]+jets events in pp collisions at sqrt(s) = 7 TeV
• Search for Lepton-Flavor-Violating and Lepton-Number-Violating tau to lhh' Decay Modes
• Searches for violation of lepton flavour and baryon number in tau lepton decays at LHCb
• Lepton number violation in top quark and neutral B meson decays
• Sensitivity to Majorana neutrinos in $\Delta L=2$ decays of $B_c$ meson at LHCb
• Probing Majorana neutrinos in rare pi+ to e+ e+ mu- nu decays
• Search for Lepton-number-violating B+->D-l+l'+ Decays
• TeV Lepton Number Violation: From Neutrinoless Double Beta Decay to the LHC
• Lepton number violating four-body tau lepton decays
• Majorana neutrinos and lepton-number-violating signals in top-quark and W-boson rare decays
• Lepton-Number Violating Decays of Heavy Mesons
• Lepton-flavor violating decays of neutral Higgs to muon and tauon in supersymmetric economical 3-3-1 model
• Search for lepton-number violating processes in B+ -> h- l+ l+ decays
• Bounding resonant Majorana neutrinos from four-body B and D decays
• Lepton Flavor Violating $\tau$ Decays in TeV Scale Type I See-Saw and Higgs Triplet Models
• Lepton number violation in 331 models
• Lepton-number violating four-body decays of heavy mesons
• A search for baryon- and lepton-number violating decays of $\Lambda$ hyperons using the CLAS detector at Jefferson Laboratory
• Search for Lepton Flavor and Lepton Number Violating tau Decays into a Lepton and Two Charged Mesons
• Lepton flavor violating processes τ->μγ$,$τ-> 3μ$and$Z-> μτ$ in the Supersymmetric economical 3-3-1 model

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• $\Delta$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
• Sterile neutrinos in ${\Lambda }_b^0\to ({\Lambda }_c^{+},p^{+}){\ell }_1^{-}{\ell }_2^{-}{\ell }_3^{+}\nu$ decays
• Search for heavy Majorana neutrinos at future lepton colliders
• Dirac-Majorana neutrinos distinction in four-body decays
• Measuring CP violation in rare $W$ decays at the LHC
• QCD Running in Lepton Number Violating Meson and Tau Decays