deletions | additions       diff --git a/HiggsPhysicsAt500GeV.tex b/HiggsPhysicsAt500GeV.tex  index 5247f9a..2b32d35 100644  --- a/HiggsPhysicsAt500GeV.tex  +++ b/HiggsPhysicsAt500GeV.tex 
...
\subsubsection{Higgs \subsection{Higgs  physics in $\epem$ collisions  at $\sqrt{s} = 500$~GeV} With a luminosity (slightly) larger than ILC and CLIC at $\sqrt{s}=500$~GeV, the TLEP physics potential at this centre-of-mass energy would be similar to that of linear colliders. A quick look at the ILC TDR~\cite{cite:ILCTDR} shows that the addition of 500~$\infb$ at 500~GeV to the baseline programme with 250~$\infb$ at 250~GeV and 350~$\infb$ at 350 GeV moderately improves the precision on all Higgs boson couplings to light fermions and gauge bosons by about less than a factor $\sqrt{2}$, still quite far from the needed sub-per-cent precision. Similarly, the measurement of the invisible width of the Higgs boson is best performed at $\sqrt{s}=$ 240~GeV.   The opening of the $\epemto \ttbar{\rm H}$ process also allows the $\ttbar{\rm H}$ coupling to be directly measured, typically with a precision of 14\% at ILC, and 10\% at TLEP. The improvement with respect to the TLEP measurement at the $\ttbar$ threshold, with an accuracy of 13\% is marginal. More importantly, these precisions are not competitive with the HL-LHC projections~\cite{1307.7135,1307.7292}. For example, the CMS collaboration would be able to measure the $\ttbar{\rm H}$ coupling to 7\% with the sole ${\rm H} \to \bbbar, \gamma\gamma$ decay channels and an integrated luminosity of 3~$\inab$. This precision is improved to 5\% with the combination of the two LHC experiments, and to significantly better when the ${\rm H} \to \tau\tau$, ZZ, and WW leptonic decay channels are added. To reach a similar accuracy in $\epem$ collisions, the upgrade of either ILC up to $\sqrt{s}=1$~TeV or CLIC up to $\sqrt{s}=3$~TeV. These multi-billion-dollars upgrades can probably not be justified by the mere possibility of approaching the HL-LHC precision for this coupling.