Neutrino masses and mixing, lightest neutralino decays and a solution to the $\mu$ problem in supersymmetry

Abstract

We examine in detail the neutrino masses and mixing patterns in an extension of the minimal supersymmetric standard model with three gauge-singlet neutrinos and R-parity violation. The Majorana masses for the gauge-singlet neutrinos as well as the usual $\mu$-term for the Higgs superfields are generated at the electroweak scale through the vacuum expectation values of the singlet sneutrinos. The resulting effective mass matrix for the three light neutrinos have contributions from the seesaw mechanism involving the singlet neutrinos as well as due to the mixing with the heavy neutralinos. This model is popularly known in the literature as the "$\mu$ from $\nu$ supersymmetric standard model" ($\mu \nu$SSM). We show that even with flavour diagonal neutrino Yukawa couplings, the global data on three-flavour neutrinos can be well accounted for in this scenario, at the tree level. We also analyze the mixing in the chargino and the Higgs sector and calculate the decays of the lightest supersymmetric particle in this model. The decay branching ratios show certain correlations with the neutrino mixing angles, which can be tested at the LHC. Some other phenomenological implications of such a model have been discussed.

49 pages, 19 figures, LaTex, JHEP style, short remarks added in the text, typos corrected, minor modifications in the abstract, to appear in JHEP

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• Revisiting the SUSY mu problem and its solutions in the LHC era
• Novel signatures for vector-like quarks
• Probing the two light Higgs scenario in the NMSSM with a low-mass pseudoscalar
• The Higgs sector of the munuSSM and collider physics
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• Searching for left sneutrino LSP at the LHC
• Unusual Higgs boson signal in R-parity violating nonminimal supersymmetric models at the LHC
• CLUES on Fermi-LAT prospects for the extragalactic detection of munuSSM gravitino Dark Matter
• Probing the $\mu \nu$SSM with light scalars, pseudoscalars and neutralinos from the decay of a SM-like Higgs boson at the LHC
• Probing the "$\mu$ from $\nu$" supersymmetric standard model with displaced multileptons from the decay of a Higgs boson at the LHC
• Looking for the left sneutrino LSP with displaced-vertex searches
• The new $(g-2{)}_{\mu }$ result and the $\mu \nu$SSM
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• Searching for Supersymmetry: The $\mu \nu$SSM
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• Muon conversion to electron in nuclei within the $\mu \nu$SSM with a 125 GeV Higgs
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• 125 GeV Higgs decay with lepton flavor violation in the $\mu \nu$SSM
• General NMSSM signatures at the LHC
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• Impact of Higgs physics on the parameter space of the $\mu \nu$SSM
• Sampling the $\mu \nu$SSM for displaced decays of the tau left sneutrino LSP at the LHC
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• A possible connection between neutrino mass generation and the lightness of a NMSSM pseudoscalar
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• 125 GeV Higgs boson decays in the $\mu$ from $\nu$ supersymmetric standard model
• On a reinterpretation of the Higgs field in supersymmetry and a proposal for new quarks
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• $\bar{B}\to X_s\gamma$ in the $\mu \nu$SSM
• Addressing μ-b_μand proton lifetime problems and active neutrino masses in a U(1)^\prime-extended supergravity model
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• Dark matter and neutrino masses in the R-parity violating NMSSM
• Spontaneous R-parity violating type III seesaw
• One-loop contribution to the neutrino mass matrix in NMSSM with right-handed neutrinos and tri-bimaximal mixing
• Charged lepton flavor violation in extended BLMSSM
• Muon conversion to electron in nuclei within the BLMSSM
• Probing neutrino physics at LHC through R-parity breaking supersymmetry
• Explaining muon $g-2$ data in the $\mu \nu$SSM
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• R-Parity Violation and Supersymmetric Higgs Masses
• Exotic diboson $Z^{\prime }$ decays in the U$\mu \nu$SSM
• On the Scales of Masses in Elementary Particles
• Lightest Higgs boson decays $h\to MZ$ in the $\mu$ from $\nu$ supersymmetric standard model
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• Electroweak superpartners scrutinized at the LHC in events with multi-leptons
• $U(1{)}^{\prime }$ extensions of the $\mu \nu$SSM
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• Fenomenología de modelos supersimétricos: partículas y materia oscura
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• Searching for Gluino LSP at the LHC