# The Supersymmetric Standard Models with Decaying and Stable Dark Matters 

Xin Gao, 1 Zhaofeng Kang, 1 and Tianjun Li 1, 2 

$^{1}$Key Laboratory of Frontiers in Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, P. R. China 

$^{2}$George P. and Cynthia W. Mitchell Institute for Fundamental Physics, Texas A & M University, College Station, TX 77843, USA 

(Dated: June 7, 2018) 

## 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 PAMELA and Fermi-LAT experiments and the PAMELA and ATIC experiments can be explained in Model I and Model II, respectively. 

PACS numbers: 12.60.Jv, 14.70.Pw, 95.35.+d 

