The Supersymmetric Standard Models with Decay and Stable Dark Matters
Xin Gao, Zhaofeng Kang, Tianjun Li

TL;DR
This paper introduces two supersymmetric models with decaying and stable dark matter, explaining cosmic ray observations and fermion masses using a Froggatt-Nielsen mechanism and a broken U(1)_X symmetry.
Contribution
The paper presents novel supersymmetric models incorporating a U(1)_X symmetry that explains fermion masses and provides dark matter candidates compatible with experimental data.
Findings
Lightest neutralino consistent with CDMS II
Models explain PAMELA, Fermi-LAT, and ATIC cosmic ray data
Decaying dark matter predominantly decays to specific lepton families
Abstract
We propose two supersymmetric Standard Models (SMs) with decaying and stable dark matter (DM) particles. To explain the SM fermion masses and mixings and have a heavy decay DM particle S, we consider the Froggatt-Nielsen mechanism by introducing an anomalous U(1)_X gauge symmetry. Around the string scale, the U(1)_X gauge symmetry is broken down to a Z_2 symmetry under which S is odd while all the SM particles are even. S obtains a vacuum expectation value around the TeV scale, and then it can three-body decay dominantly to the second/third family of the SM leptons in Model I and to the first family of the SM leptons in Model II. Choosing a benchmark point in the constrained minimal supersymmetric SM with exact R parity, we show that the lightest neutralino DM is consistent with the CDMS II experiment. Considering S three-body decay and choosing suitable parameters, we show that the…
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