Patrick Janot edited 13311371900452937.tex  almost 11 years ago

Commit id: 257976b094e2bb6485171b979873831990db3337

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In the table above, a few numbers are added with respect to Ref.~\cite{cite:1208.1662}. 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 could be obtained if the CMS detector were upgraded with a vertex detection device of adequate c-tagging performance. The precision for $\sigma_{\rm HZ} \times {\rm BR(H\to ZZ^\ast)}$ is obtained from an almost background-free dedicated search for ZZZ final states including four leptons.  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  $$ \Gamma_{\rm tot} = { {\Gamma {\rm(H \to ZZ)}} \over {{\rm BR(H \to ZZ)}} $$ }$$  The partial decay width $\Gamma{\rm(H \to ZZ)}$ is directly proportional to the inclusive cross section $\sigma_{\rm HZ}$, which can be measured with excellent precision in the $\ell^+\ell^-{\rm H}$ final state, as shown in Table~\ref{tab:HiggsBranching}. The Higgs boson branching ratio to ZZ is in turn obtained from the number of ZZZ events, proportional to $\sigma_{\rm HZ} \times {\rm BR(H\to ZZ)}$. is unfortunately quite small, so the direct measurement of this quantity at 250 GeV is statistics limited. In Section 2.5, we will explain how this quantity can be determined more accurately from data at higher energy. We will demonstrate there that, with 500 GeV data, the ILC should achieve an unambiguous measurement of the Higgs boson width to 6% accuracy.