A summary of the statistical precision of the measurements presented in Ref.~\cite{cite:1208.1662} for $\sqrt{s} = 240$ GeV -- extrapolated to the TLEP luminosity and to four detectors -- is given in Table~\ref{tab:HiggsBranching}. In this table, a few numbers are added with respect to Ref.~\cite{cite:1208.1662}. First, the precision for $\sigma_{\rm HZ} \times {\rm BR(H\to c\bar c)}$ and $\sigma_{\rm HZ} \times {\rm BR(H\to gg)}$ is extrapolated from the ILC prediction, as would be obtained if the CMS detector were upgraded with a vertex detection device with adequate c-tagging performance. Secondly, the precision for  $\sigma_{\rm HZ} \times {\rm BR(H\to ZZ)}$ is obtained from an almost background-free dedicated search for ZZZ final states including four leptons, recently developed for that purpose.

\begin{table}
\begin{center}
\caption{Statistical precision for Higgs measurements obtained from  the proposed TLEP programme at $\sqrt{s} = 240$ GeV only (shown in Table~\ref{tab:HiggsCross}). For illustration, the baseline ILC figures at $\sqrt{s}=250$ GeV, taken from Ref.~\cite{ILC:Physics}, are also given. The order-of-magnitude smaller accuracy expected at TLEP in the ${\rm H}\to\gamma\gamma$ channel is the threefold consequence of the larger luminosity, the superior resolution of the CMS electromagnetic calorimeter, and the absence of background from Beamstrahlung photons.\label{tab:HiggsBranching}}
\begin{tabular}{|r|r|r|}
\hline & TLEP 240 & ILC 250 \\ \hline
\hline $\sigma_{\rm HZ}$ & {\bf 0.4\%} & 2.5\% \\
\hline $\sigma_{\rm HZ} \times {\rm BR(H\to b\bar b)}$ & {\bf 0.2\%} & 1.1\% \\
\hline $\sigma_{\rm HZ} \times {\rm BR(H\to c\bar c)}$ & {\bf 1.2\%} & 7.4\% \\
\hline $\sigma_{\rm HZ} \times {\rm BR(H\to gg)}$ & {\bf 1.4\%} & 9.1\% \\
\hline $\sigma_{\rm HZ} \times {\rm BR(H \to WW)}$ & {\bf 0.9\%} & 6.4\% \\
\hline $\sigma_{\rm HZ} \times {\rm BR(H} \to \tau\tau{\rm )}$ & {\bf 0.7\%} & 4.2\% \\
\hline $\sigma_{\rm HZ} \times {\rm BR(H\to ZZ)}$ & {\bf 3.1\%} & 19\% \\
\hline $\sigma_{\rm HZ} \times {\rm BR(H}\to \gamma\gamma{\rm )}$ & {\bf 3.0\%} & 35\% \\
\hline $\sigma_{\rm HZ} \times {\rm BR(H}\to \mu\mu{\rm )}$ & {\bf 13\%} & 100\% \\ \hline 
\end{tabular} 
\end{center}
\end{table}


The latter measurement has an important consequence for the determination of the total Higgs decay width. In $\epem$ collisions, it is not possible to directly observe the width of the Higgs boson if it is as small as the Standard Model prediction of 4 MeV. However, the total width of the Higgs boson is given by $\Gamma_{\rm tot} = \Gamma {\rm(H \to ZZ)}/{\rm BR(H \to ZZ)}$. The partial decay width $\Gamma{\rm(H \to ZZ)}$ is directly proportional to the inclusive cross section $\sigma_{\rm HZ}$, measured with a precision of 0.4\% from the ``recoil mass'' distribution of Fig.~\ref{fig:Recoil}. The Higgs boson branching ratio to ZZ, ${\rm BR(H \to ZZ)}$, is in turn obtained from the number of ZZZ events, itself proportional to $\sigma_{\rm HZ} \times {\rm BR(H\to ZZ)}$, measured with a 3.1\% relative precision. Therefore, with the sole 240 GeV data, TLEP is able to determine the Higgs boson decay width with a precision of the order of 3\% from this channel. The ${\rm H \to b\bar b}\nu\bar\nu$ final state produced via WW fusion can also be used for that purpose, as described in more detail in the next section. 