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Patrick Janot edited BR Precisions.tex
over 10 years ago
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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 the formula:
\begin{equation}
\Gamma_{\rm tot} =
{ {\Gamma \frac{\Gamma {\rm(H \to
ZZ)}} \over {{\rm ZZ)}}{{\rm BR(H \to
ZZ)}} }. ZZ)}}.
\end{equation}
The partial decay width $\Gamma{\rm(H \to ZZ)}$ is directly proportional to the inclusive cross section $\sigma_{\rm HZ}$ (measured with excellent precision of 0.4\% from the ``recoil mass'' distribution of Fig.~\ref{fig:Recoil}). The Higgs boson branching ratio 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. With the sole 240 GeV data, TLEP is therefore 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.