Abstract
Abstract Bilinear R-parity violation (BRPV) provides the simplest intrinsically super-symmetric neutrino mass generation scheme. While neutrino mixing parameters can be probed in high energy accelerators, they are unfortunately not predicted by the theory. Here we propose a model based on the discrete flavor symmetry A 4 with a single R-parity violating parameter, leading to (i) correct Cabbibo mixing given by the Gatto-Sartori-Tonin formula, and a successful unification-like b-tau mass relation, and (ii) a correlation between the lepton mixing angles θ 13 and θ 23 in agreement with recent neutrino oscillation data, as well as a (nearly) massless neutrino, leading to absence of neutrinoless double beta decay.
Highlights
JHEP01(2013)033 to consider alternative scenarios [7] where, in addition, the stringent bounds on the squark and gluino masses are relaxed [8, 9]
We propose a model based on the discrete flavor symmetry A4 with a single R-parity violating parameter, leading to (i) correct Cabbibo mixing given by the Gatto-Sartori-Tonin formula, and a successful unification-like b-tau mass relation, and (ii) a correlation between the lepton mixing angles θ13 and θ23 in agreement with recent neutrino oscillation data, as well as a massless neutrino, leading to absence of neutrinoless double beta decay
Bilinear R-parity Violation [4, 24] is the minimal extension of the Minimal Supersymmetric Standard Model (MSSM) that incorporates lepton number violation, providing a simple way to accommodate neutrino masses in supersymmetry
Summary
Bilinear R-parity Violation [4, 24] is the minimal extension of the Minimal Supersymmetric Standard Model (MSSM) that incorporates lepton number violation, providing a simple way to accommodate neutrino masses in supersymmetry. A natural choice is to ascribe this eigenvalue to the atmospheric scale In this case the required solar mass scale, ∆m2sol ∆m2atm, arises radiatively, at the 1-loop level, correcting the tree-level neutrino mass matrix in eq (2.5). Where the coefficients a(1), b(1), c(1) are complicated functions of the SUSY parameters This generates a second non-zero mass eigenstate associated with the solar scale, and the corresponding mixing angle θ12. Since LSP decays and neutrino masses have a common origin, one can show that ratios of LSP decay branching ratios correlate with the neutrino mixing angles measured at low energies [31,32,33,34] This establishes a tight link which allows one to use neutrino oscillation data to test the model at the LHC see e. This establishes a tight link which allows one to use neutrino oscillation data to test the model at the LHC see e. g. [35]
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