论文标题

$ u(1)_x $ ssm中对MUON MDM的双环捐款

The two-loop contributions to muon MDM in $U(1)_X$ SSM

论文作者

Su, Lu-Hao, Zhao, Shu-Min, Dong, Xing-Xing, Cui, Dan-Dan, Feng, Tai-Fu, Zhang, Hai-Bin

论文摘要

MSSM扩展到$ u(1)_x $ SSM,其本地量规组为$ su(3)_C \ times su(2)_l \ times u(1)_y \ times u(times u(times u(1)_x $)。要获取$ u(1)_x $ ssm,我们将新的超级场所添加到MSSM,即:三个higgs singlets $ \hatη,〜\ hat {\barη},〜\ hat {s} $和右手netrinos neutrinos $ \hatν_i$。它可以通过Seesaw机构在树层处提供光中微子的微小质量。对$ u(1)_x $ ssm下的两循环图对MUON MDM的贡献的研究为我们提供了搜索新物理学的可能性。在回路图(一环和两环图)的分析计算中,有效的拉格朗日方法用于得出MUON MDM。在这里,考虑的两循环图包括Barr-Zee类型图和彩虹型两环图,尤其是Z-Z彩虹双环图。获得的数值结果可以达到$ 7.4 \ times10^{ - 10} $,可以在某种程度上纠正SM预测与实验数据之间的偏差。

The MSSM is extended to the $U(1)_X$SSM, whose local gauge group is $SU(3)_C \times SU(2)_L \times U(1)_Y \times U(1)_X$. To obtain the $U(1)_X$SSM, we add the new superfields to the MSSM, namely: three Higgs singlets $\hatη,~\hat{\barη},~\hat{S}$ and right-handed neutrinos $\hatν_i$. 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 $U(1)_X$SSM 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 $7.4\times10^{-10}$, which can remedy the deviation between SM prediction and experimental data to some extent.

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