This measurement can be performed in a very similar manner with the data at \(\sqrt{s}=240\) GeV, albeit with a reduced discrimination between the HZ and the WW fusion contributions. The statistical precision with which \(\sigma_{{\rm WW\to H}}\times{\rm BR(H\to b\bar{b})}\) can be measured at both centre-of-mass energies is displayed in Table \ref{tab:WWFusion}.
\(\sqrt{s}\) (GeV) | TLEP | ILC |
---|---|---|
240 - 250 | 2.2% | 10.5% |
350 | 0.6% | 1.0% |
These measurements can also be used to determine the total Higgs decay width in a way similar to that described in the previous section. Indeed, the total Higgs boson width is given by \(\Gamma_{\rm tot}=\Gamma{\rm(H\to WW)}/{\rm BR(H\to WW)}\). The partial decay width \(\Gamma{\rm(H\to WW)}\) is directly proportional to the inclusive cross section \(\sigma_{\rm WW\to H}\). The Higgs boson branching ratios to WW and to \({\rm b\bar{b}}\) are in turn obtained from the measurements performed at \(\sqrt{s}=240\) GeV, the precision of which can be inferred from Table \ref{tab:HiggsBranching}. With the 350 (240) GeV data, TLEP is therefore able to determine the Higgs boson decay width with a precision of the order of 1.2% (2.4%) with WW fusion. When combined with the ZZZ final state, the precision on the total Higgs boson width from TLEP is estimated to be 1.0%. These numbers are summarized in Table \ref{tab:Width}.
Process and final state | TLEP | ILC |
---|---|---|
\({\rm e}^{+}{\rm e}^{-}\to{\rm HZ}\) with \({\rm H\to ZZ}\) | 3.1% | 20% |
\({\rm WW\to H}\) with \({\rm H\to b\bar{b}}\) at 240 GeV | 2.4% | 12% |
\({\rm WW\to H}\) with \({\rm H\to b\bar{b}}\) at 350 GeV | 1.2% | 7% |
Combined | 1.0% | 6.0% |