Abstract
There are strong evidences for 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 $\chi^0_L$ and $\tilde{Y}$ as candidates for dark matter in the EBLMSSM. We study the dominant annihilation processes in detail, including $\bar{\chi}^0_L\chi^0_L(\bar{\tilde{Y}}\tilde{Y})\rightarrow \bar{l}^Il^I$ and $\bar{\chi}^0_L\chi^0_L(\bar{\tilde{Y}}\tilde{Y})\rightarrow \bar{\nu}^I\nu^I$. And we calculate their annihilation cross section $\sigma$ and relic density $\Omega_D h^2$. Then we analyze the limitations of dark matter relic density on the parameters of the EBLMSSM.
Highlights
Astronomers are convinced that there is amazing amount of dark matter in the universe by some astronomical observations and theoretical derivations
The BLMSSM can explain many anomalies, we find that the exotic leptons in the BLMSSM are not heavy enough
The extension of the BLMSSM is obtained by adding exotic superfields φNL, φNL, Y and Y0 that can make the exotic leptons heavy and unstable
Summary
We briefly introduce the basic characteristics of EBLMSSM. It is the extension of BLMSSM. Compared with the BLMSSM, the EBLMSSM includes new superfields. In order to generate large masses for the exotic leptons, we need to introduce the two new superfields (ΦNL and φNL) with nonzero vacuum expectation values (υNL and υNL). If λ4ðλ6Þ in Eq (11) has nonzero elements about lepton flavor, WY can enhance the impact of lepton flavor violation [20] These new couplings and new parameters enrich the lepton physics to a certain degree. Based on the new introduced superfields ΦNL, φNL, Y, and Y0 in the EBLMSSM, the soft breaking terms are as follows. LBsoLftMSSM is the soft breaking terms of the BLMSSM discussed in our previous work. In the EBLMSSM, some mass matrices are different from BLMSSM because of the introduced superfields ΦNL and φNL. If you want to know more of the mass matrixes and the couplings, you can find them in our previous work [22,23]
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