. 2021 May 27;81(5):466. doi: 10.1140/epjc/s10052-021-09218-1

Table 1.

Superfield (SF) configuration in the secluded $U {(1)}^{'}$ model, including notations for fermionic and bosonic states, number of generations, and charges under $U {(1)}_{Y} \otimes S U {(2)}_{L} \otimes S U {(3)}_{C} \otimes U {(1)}^{'}$

SF	Spin 0	Spin $\frac{1}{2}$	Generations	Charges
$\hat{Q}$	$\tilde{Q}$	Q	3	$(\frac{1}{6}, 2, 3, Q_{Q}^{'})$
$\hat{L}$	$\tilde{L}$	L	3	$(- \frac{1}{2}, 2, 1, Q_{L}^{'})$
${\hat{H}}_{d}$	$H_{d}$	${\tilde{H}}_{d}$	1	$(- \frac{1}{2}, 2, 1, Q_{H_{d}}^{'})$
${\hat{H}}_{u}$	$H_{u}$	${\tilde{H}}_{u}$	1	$(\frac{1}{2}, 2, 1, Q_{H_{u}}^{'})$
$\hat{D}$	${\tilde{D}}_{R}^{*}$	$D_{R}^{*}$	3	$(\frac{1}{3}, 1, \bar{3}, Q_{d}^{'}$
$\hat{U}$	${\tilde{U}}_{R}^{*}$	$U_{R}^{*}$	3	$(- \frac{2}{3}, 1, \bar{3}, Q_{u}^{'})$
$\hat{E}$	${\tilde{E}}_{R}^{*}$	$E_{R}^{*}$	3	$(1, 1, 1, Q_{e}^{'})$
$\hat{N}$	${\tilde{N}}^{*}$	$N^{*}$	3	$(0, 1, 1, Q_{v}^{'})$
$\hat{S}$	S	$\tilde{S}$	1	$(0, 1, 1, Q_{s}^{'})$
${\hat{S}}_{1}$	$S_{1}$	${\tilde{S}}_{1}$	1	$(0, 1, 1, Q_{s_{1}}^{'})$
${\hat{S}}_{2}$	$S_{2}$	${\tilde{S}}_{2}$	1	$(0, 1, 1, Q_{s_{2}}^{'})$
${\hat{S}}_{3}$	$S_{3}$	${\tilde{S}}_{3}$	1	$(0, 1, 1, Q_{s_{3}}^{'})$
$\hat{Q}$	$\tilde{Q}$	$Q$	3	$(Y_{Q}, 1, 1, Q_{Q}^{'})$
$\hat{\bar{Q}}$	$\tilde{\bar{Q}}$	$\bar{Q}$	3	$(Y_{\bar{Q}}, 1, 1, Q_{{\bar{Q}}^{'}})$
$\hat{L}$	$\tilde{L}$	$L$	2	$(Y_{L}, 1, 1, Q_{L}^{'})$
$\hat{\bar{L}}$	$\tilde{\bar{L}}$	$\bar{L}$	2	$(Y_{\bar{L}}, 1, 1, Q_{{\bar{L}}^{'}})$