These luminosity values are obtained in a configuration of the collider with four interaction points, for which the beam-beam parameters can be obtained directly from measurements performed at LEP1 and LEP2 in the 1990's. For this reason, the luminosity summed over the four interaction points, the only relevant quantity when it comes to evaluating the physics potential,  is also shown in Fig.~\ref{fig:lumi}. Should TLEP operate with fewer detectors, the larger damping time between collisions would tend to push the beam-beam limit, with the effect of increasing the luminosity at each interaction point by a factor $(4/n_{\rm IP})^{0.4}$~\cite{Assmann:453821}. For example, the use of two detectors instead of four would only reduce the total luminosity by 35\% (as opposed to a naive factor 2 reduction), hence would increase the statistical uncertainties reported in this article by about 20\%. The physics potential of either configuration is summarized in Table~\ref{tab:FitResults} (Section~\ref{sec:FitResults}) and Table~\ref{tab:EW-TLEP} (Section~\ref{sec:EWSB}). Although there is some debate as to the functional dependence of the beam-beam parameter on the damping decrement, any modifications to the formula of Ref.~\cite{Assmann:453821} will have minor effects on the conclusions of this analysis.  