Standard model lagrangian density, ghosts-Goldstone bosons part

I have a hard time to find the correct expression for the ghosts-Goldstone bosons part of the standard model lagrangian density. From Peskin & Schroeder it comes from the term $xi overline{c}^a g^2 (T^a phi_0)cdot(T^b chi)c^b$ in the equation (21.52). I can’t seem to find the correct expression for this term. It should be the 3 last lines here, but when it comes to evaluating the aforementioned term, I find:
begin{equation}
g^2(T^a phi_0)cdot(T^b chi)=frac{v}{4}left(
begin{array}{cccc}
g^2 H & g^2 phi^3 & -g^2 phi^2 & -gg’ phi^2
-g^2 phi^3 & g^2 H & g^2 phi^1 & gg’ phi^1
g^2 phi^2 & -g^2 phi^1 & g^2 H & -gg’ H
-gg’ phi^2 & gg’ phi^1 & -gg’ H & {g’}^2 H
end{array}
right)
end{equation}
Where $T^a=-ifrac{sigma^a}{2}$ for $a=1,2,3$ and $T^Y=-frac{i}{2}$. I use the same parameterization of the Higgs field as Peskin & Schroeder:
begin{equation}
Phi=phi_0+chi=frac{1}{sqrt{2}}left(
begin{array}{c}
-i(phi^1-iphi^2)
v+(H+iphi^3)
end{array}
right) leadsto
left(
begin{array}{c}
phi^1
phi^2
phi^3
v+H
end{array}
right)
end{equation}
I am desperate because the matrix $g^2(T^a phi_0)cdot(T^b chi)$ seems to be right, but it turns out that it does not give the right "3 last lines"… Does anyone know how to recover the right terms?