AbstractThe MSSM is extended to the $$U(1)_X$$
U
(
1
)
X
SSM, whose local gauge group is $$SU(3)_C \times SU(2)_L \times U(1)_Y \times U(1)_X$$
S
U
(
3
)
C
×
S
U
(
2
)
L
×
U
(
1
)
Y
×
U
(
1
)
X
. To obtain the $$U(1)_X$$
U
(
1
)
X
SSM, we add the new superfields to the MSSM, namely: three Higgs singlets $${\hat{\eta }},~\hat{{\bar{\eta }}},~{\hat{S}}$$
η
^
,
η
¯
^
,
S
^
and right-handed neutrinos $${\hat{\nu }}_i$$
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 $$U(1)_X$$
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 $$7.4\times 10^{-10}$$
7.4
×
10
-
10
, which can remedy the deviation between SM prediction and experimental data to some extent.
Effective lagrangian for 3d Script N = 4 SYM theories for any gauge group and monopole moduli spaces
