diff --git a/CCvsMBPT.tex b/CCvsMBPT.tex
index 9d9a259..e78745c 100644
--- a/CCvsMBPT.tex
+++ b/CCvsMBPT.tex
@@ -292,7 +292,7 @@ To be more specific, restricting ourselves to CCD, \ie, $\hT = \hT_2$, the eleme
 \begin{equation}
 	\mel*{ \Psi_{i}^{a} }{ \bHN }{ \Psi_{j}^{b} } = \cF_{ab} \delta_{ij} - \cF_{ij} \delta_{ab} + \cW_{jabi}
 \end{equation}
-where $\bHN = e^{-\hT} \hH e^{\hT} - E_\text{CCD}$ is the normal-ordered similarity-transformed Hamiltonian, $\Psi_{i}^{a}$ are singly-excited determinants, the one-body terms are
+where \textcolor{blue}{ $\bHN = e^{-\hT} \hH_{N} e^{\hT} $} is the normal-ordered similarity-transformed Hamiltonian, $\Psi_{i}^{a}$ are singly-excited determinants, the one-body terms are
 \begin{subequations}
 \begin{align}
 \label{eq:cFab}
@@ -503,9 +503,9 @@ where $\be{}{\GW}$ is a diagonal matrix collecting the quasiparticle energies, t
 \end{subequations}
 and the corresponding coupling blocks read
 \begin{align}
-	V^\text{2h1p}_{p,klc} & = \ERI{pc}{kl}
+	V^\text{2h1p}_{p,klc} & =\textcolor{blue}{\sqrt{2}}\ERI{pc}{kl}
 	&
-	V^\text{2p1h}_{p,kcd} & = \ERI{pk}{dc}
+	V^\text{2p1h}_{p,kcd} & =\textcolor{blue}{\sqrt{2}}  \ERI{pk}{dc}
 \end{align}
 Going beyond the Tamm-Dancoff approximation is possible, but more cumbersome. \cite{Bintrim_2021}