2) Xing-Xing Dong(þ¿¿) 3) Xi-Jie Zhan( ) Hai-Bin Zhang(

No abstract

There is strong evidence for the existence of dark matter in some experiments at present. However, the question is that we do not have a reasonable explanation for dark matter in the framework of the Standard Model (SM) of particle physics. It is necessary to extend the SM in order to explain the dark matter. According to the current possible existence conditions of dark matter, we choose χ 0 L andỸ as candidates for dark matter in the EBLMSSM. We study the dominant annihilation processes in detail, includinḡ χ 0 L χ 0 L ðȲỸÞ →l I l I andχ 0 L χ 0 L ðȲỸÞ →ν I ν I. We calculate their annihilation cross section σ and relic density Ω D h 2. Then we analyze the limitations of dark matter relic density on the parameters of the EBLMSSM.

The experimental data of the magnetic dipole moment(MDM) of lepton(e, μ) is very exact. The deviation between the experimental data and the standard model prediction maybe come from new physics contribution. In the supersymmetric models, there are very many two loop diagrams contributing to the lepton MDM. In supersymmetric models, we suppose two mass scales M S H and M with M S H M for supersymmetric particles. Squarks belong to M S H and the other supersymmetric particles belong to M. We analyze the order of the contributions from the two loop diagrams. The two loop triangle diagrams corresponding to the two loop self-energy diagram satisfy Ward-identity, and their contributions possess particular factors. This work can help to distinguish the important two loop diagrams giving corrections to lepton MDM.

We analyze the charged lepton flavor violating (CLFV) decays of vector mesons V → l AE i l ∓ j with V ∈ fϕ; J=Ψ; ϒ; ρ 0 ; ωg in the BLMSSM model. This new model is introduced as a supersymmetric extension of the Standard Model (SM), where local gauged baryon number B and lepton number L are considered. The numerical results indicate the BLMSSM model can produce significant contributions to such two-body CLFV decays, and the branching ratios to these CLFV processes can easily reach the present experimental upper bounds. Therefore, searching for CLFV processes of vector mesons may be an effective channel to study new physics.