The MSSM is extended to the U(1)XSSM, whose local gauge group is SU(3)C×SU(2)L×U(1)Y×U(1)X. To obtain the U(1)XSSM, we add the new superfields to the MSSM, namely: three Higgs singlets η^,ηˉ^,S^ and right-handed neutrinos ν^i. It can give light neutrino tiny mass at the tree level through the seesaw mechanism. The study of the contribution of the two-loop diagrams to the MDM of muon under U(1)XSSM provides the possibility for us to search for new physics. In the analytical calculation of the loop diagrams (one-loop and two-loop diagrams), the effective Lagrangian method is used to derive muon MDM. Here, the considered two-loop diagrams include Barr-Zee type diagrams and rainbow type two-loop diagrams, especially Z-Z rainbow two-loop diagram is taken into account. The obtained numerical results can reach 7.4×10−10, which can remedy the deviation between SM prediction and experimental data to some extent.
@article{arxiv.2012.04824,
title = {The two-loop contributions to muon MDM in $U(1)_X$ SSM},
author = {Lu-Hao Su and Shu-Min Zhao and Xing-Xing Dong and Dan-Dan Cui and Tai-Fu Feng and Hai-Bin Zhang},
journal= {arXiv preprint arXiv:2012.04824},
year = {2023}
}