The field configurations in our scenario are assumed to be as The presence of interactions including the terms like Q Φ χ 1 ,..., $_{4}$, Q Φ ψ 1 ,..., $_{4}$, δ Φ ψ s,a and δ χϑψ supply a large number of independent equations of extremum conditions than there are unknown VEVs ( υ, υ$_{χ}$, υ$_{ψ}$ and υ$_{ϑ}$ ), which means that unnatural fine-tuning conditions have to be enforced on the Higgs potential parameters. Using the extremum conditions, we obtain 〈 Φ 〉 = ( υ, υ, υ ) , 〈 χ 〉 = ( υ$_{χ}$, 0 , 0) , 〈 Ψ 〉 = (0 , υ$_{ψ}$, 0) , 〈 ϑ 〉 = υ$_{ϑ}$ , 〈 η 〉 = 0 . (A5) 28 Q Φ ψ 1 $_{= (Φ}$†$_{Φ)}$$_{1}$$_{(}$$_{ψψ}$$_{)}$$_{1}$$_{,}$ Q Φ ψ 2 $_{= (Φ}$†$_{Φ)}$$_{1}$ ′ ( ψψ ) 1 ′′ , Q Φ ψ 3 $_{= (Φ}$†$_{Φ)}$$_{1}$ ′′ ( ψψ ) 1 ′ , Q Φ ψ 4 $_{= (Φ}$†$_{Φ)}$$_{3}$$_{s}$$_{(}$$_{ψψ}$$_{)}$$_{3}$$_{,}$ Q Φ ψ 5 $_{= (Φ}$†$_{Φ)}$$_{3}$$_{a}$$_{(}$$_{ψψ}$$_{)}$$_{3}$$_{,}$ Q Φ ϑ 1 $_{= (Φ}$†$_{Φ)}$$_{1}$$_{(}$$_{ϑϑ}$$_{)}$$_{,}$ Q ψχ 1 = ( ψψ ) 1 ( χχ ) 1 , Q ψχ 2 = ( ψψ ) 1 ′ ( χχ ) 1 ′′ , Q ψχ 3 = ( ψψ ) 1 ′′ ( χχ ) 1 ′ , Q ψχ 4 = ( ψψ ) 3 ( χχ ) 3 , Q ψϑ 1 = ( ψψ ) 1 ( ϑϑ ) , Q η 1 = ( $_{η}$†$_{η}$$_{)}$ $^{2}$, Q Φ η 1 $_{= (Φ}$†$_{Φ)}$$_{1}$$_{(}$$_{η}$ †$_{η}$$_{)}$$_{,}$ Q Φ η 2 $_{= (Φ}$†$_{η}$$_{)(}$$_{η}$ †$_{Φ)}$$_{,}$ Q Φ η 3 $_{= (Φ}$†$_{η}$$_{)(Φ}$ †$_{η}$$_{)}$$_{,}$ Q Φ η 4 = ( $_{η}$†$_{Φ)(}$$_{η}$ †$_{Φ)}$$_{,}$ Q ηχ 1 = ( $_{η}$†$_{η}$$_{)(}$$_{χχ}$$_{)}$$_{1}$$_{,}$ Q ηψ 1 = ( $_{η}$†$_{η}$$_{)(}$$_{ψψ}$$_{)}$$_{1}$$_{,}$ Q ηϑ 1 = ( $_{η}$†$_{η}$$_{)(}$$_{ϑϑ}$$_{)}$ . (A4) 0 = ∂V ∂ϕ$_{1}$ = 2 µ 2 $_{Φ}$v + 4(3 λ Φ 1 + 4 λ Φ $_{3}$) v 3 + 2( λ Φ χ 1 + λ Φ χ 2 + λ Φ χ ∗ 2 ) vv 2 χ +2( λ Φ ψ 1 + ω $^{2}$λ Φ ψ 2 + ωλ Φ ψ ∗ 2 ) vv 2 ψ + ( δ Φ ψ s + iδ Φ ψ a ) vv$_{ψ}$ + 2 λ Φ $^{ϑ}$vv 2 ϑ , 0 = ∂V ∂ϕ$_{2}$ = 2 µ 2 $_{Φ}$v + 4(3 λ Φ 1 + 4 λ Φ $_{3}$) v 3 + 2( λ Φ χ 1 + ωλ Φ χ 2 + ω $^{2}$λ Φ χ ∗ 2 ) vv 2 χ +2( λ Φ ψ 1 + λ Φ ψ 2 + λ Φ ψ ∗ 2 ) vv 2 ψ + 2 λ Φ $^{ϑ}$vv 2 ϑ , 0 = ∂V ∂ϕ$_{3}$ = 2 µ 2 $_{Φ}$v + 4(3 λ Φ 1 + 4 λ Φ $_{3}$) v 3 + 2( λ Φ χ 1 + ω $^{2}$λ Φ χ 2 + ωλ Φ χ ∗ 2 ) vv 2 χ +2( λ Φ ψ 1 + ωλ Φ ψ 2 + ω $^{2}$λ Φ ψ ∗ 2 ) vv 2 ψ + ( δ Φ ψ s − iδ Φ ψ a ) vv$_{ψ}$ + 2 λ Φ $^{ϑ}$vv 2 ϑ , 0 = ∂V ∂χ$_{1}$ = (2 µ 2 χ + 6 λ Φ χ 1 v 2 + 2 λ ψχ 1 v 2 ψ + 2 ωλ ψχ 2 v 2 ψ + 2 ω $^{2}$λ ψχ ∗ 2 v 2 $_{ψ}$) v$_{χ}$ + 4( λ χ 1 + λ χ $_{2}$) v 3 χ , 0 = ∂V ∂χ$_{2}$ = 2 λ Φ χ 3 v $^{2}$v$_{χ}$ + δ $^{χϑψ}$v$_{ψ}$ v$_{ϑ}$ , 0 = ∂V ∂χ$_{3}$ = 2 v$_{χ}$ ( λ Φ χ 3 v 2 + δ $^{ψχ}$v$_{ψ}$ ) , 0 = ∂V ∂ψ$_{1}$ = 2 δ Φ ψ s v 2 + 2 λ Φ ψ 3 v $^{2}$v$_{ψ}$ + δ $^{χϑψ}$v$_{χ}$ v$_{ϑ}$ , 0 = ∂V ∂ψ$_{2}$ = 2 v$_{ψ}$ { µ 2 ψ + 2 λ ψ 1 v 2 ψ + (3 λ Φ ψ 1 v 2 + λ ψχ 1 v 2 $_{χ}$) + v 2 $_{χ}$( ωλ ψχ 2 + ω $^{2}$λ ψχ ∗ 2 ) + λ ψϑ 2 ϑ $^{2}$} + 2 δ Φ ψ s v 2 , 0 = ∂V ∂ψ$_{3}$ = 2 v $^{2}$( δ Φ ψ s + λ Φ ψ 3 v$_{ψ}$ ) , 0 = ∂V ∂ϑ = 2 v$_{ϑ}$ ( µ 2 ϑ + 2 λ $^{ϑ}$v 2 ϑ + 3 λ Φ $^{ϑ}$v 2 + λ $^{ψϑ}$v 2 $_{ψ}$) . (A6)