Abstract
We present the radiative corrections to neutrino masses in a minimal supersymmetric extension of the standard model with local $U(1)_{B-L}$ symmetry. At tree level, three tiny active neutrinos and two nearly massless sterile neutrinos can be obtained through the seesaw mechanism. Considering the one-loop corrections to the neutrino masses, the numerical results indicate that two sterile neutrinos obtain ${\rm KeV}$ masses and the small active-sterile neutrino mixing angles. The lighter sterile neutrino is a very interesting dark matter candidate in cosmology. Meanwhile the active neutrinos mixing angles and mass squared differences agree with present experimental data.
Highlights
The discovery of Higgs boson on the Large Hadron Collider (LHC) [1,2] indicates that the Higgs mechanism to break electroweak symmetry has an experimental cornerstone
The experiments of atmospheric and solar neutrino oscillation give the neutrino data at least three types of neutrinos which have sub-eV masses, but the standard model (SM) of particle physics cannot account for the origin of these tiny masses naturally
We investigate the origin of neutrino masses in the minimal gauged (B − L) supersymmetry
Summary
The discovery of Higgs boson on the Large Hadron Collider (LHC) [1,2] indicates that the Higgs mechanism to break electroweak symmetry has an experimental cornerstone now. In the minimal supersymmetry extension of SM (MSSM) with local Uð1ÞB−L symmetry, the nonzero vacuum expectation values (VEVs) of the right-handed sneutrinos evoke the (B − L) symmetry and R-parity spontaneously broken simultaneously [7,8,9,10,11,12]. The MSSM with local Uð1ÞB−L symmetry can generate three active neutrinos to interpret the neutrino oscillation through the seesaw mechanism; the model predicts that there are two sterile neutrinos. We present the one-loop radiative corrections to neutrino masses and relevant mixing matrix in the MSSM with local Uð1ÞB−L symmetry. This is the mixing matrix of the right-handed sneutrinos; the reasons for choosing it are shown in Appendix A
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