Table 1 The field content of the TNMSSM.

From: Higgs decay and CP violation phase in the CPV TNMSSM

Superfields

Bosons

Fermions

\(\widehat{Q}\)

\(\widetilde{Q}^{T}=(\widetilde{u},\widetilde{d})_{L}\)

\(Q^{T}=(u,d)_{L}\)

\(\widehat{L}\)

\(\widetilde{L}^{T}=(\widetilde{\nu _{l}},\widetilde{l})_{L}\)

\(L^{T}=(\nu _{l},l)_{L}\)

\(\widehat{U}\)

\(\widetilde{U}=\widetilde{u}^{*}_{R}\)

\((u_{R})^{C}=(u^{C})_{L}\)

\(\widehat{D}\)

\(\widetilde{D}=\widetilde{d}^{*}_{R}\)

\((d_{R})^{C}=(d^{C})_{L}\)

\(\widehat{E}\)

\(\widetilde{E}=\widetilde{l}^{*}_{R}\)

\((l_{R})^{C}=(l^{C})_{L}\)

\(\widehat{H_{u}}\)

\(H_{u}^{T}=(H_{u}^{+},H_{u}^{0})\)

\(\widetilde{H}_{u}^{T}=(\widetilde{H}_{u}^{+},\widetilde{H}_{u}^{0})\)

\(\widehat{H_{d}}\)

\(H_{d}^{T}=(H_{d}^{0},H_{d}^{-})\)

\(\widetilde{H}_{d}^{T}=(\widetilde{H}_{d}^{0},\widetilde{H}_{u}^{-})\)

\(\widehat{S}\)

S

\(\widetilde{S}\)

\(\widehat{T}\)

\(\left( \begin{array}{ll} \widetilde{T}^{+}/\sqrt{2} &{} -\widetilde{T}^{++}\\ \widetilde{T}^0 &{} -\widetilde{T}^{+}/ \sqrt{2} \end{array}\right) \)

\(\left( \begin{array}{ll} T^{+}/\sqrt{2} &{}-T^{++}\\ T^0 &{} -T^{+}/ \sqrt{2} \end{array}\right) \)

\(\widehat{\bar{T}}\)

\(\left( \begin{array}{ll} \widetilde{\bar{T}}^{-}/\sqrt{2} &{} -\widetilde{\bar{T}}^{0}\\ \widetilde{\bar{T}}^{{-}{-}} &{} -\widetilde{\bar{T}}^{-}/\sqrt{2} \end{array}\right) \)

\(\left( \begin{array}{ll} \bar{T}^{-}/\sqrt{2} &{} -\bar{T}^{0}\\ \bar{T}^{{-}{-}} &{} -\bar{T}^{-}/\sqrt{2} \end{array}\right) \)