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The TLEP design study will aim, in particular, at defining the minimal detector performance needed to measure the Higgs boson couplings and the EWSB parameters with the desired precision. In the meantime, the choice made in Ref.~\cite{cite:1208.1662} was adopted in this note too to make a conservative estimate of the TLEP potential: the performance of the CMS detector are assumed throughout. The only exceptions are {\it (i)} the vertex detector, for which performance similar to those of a linear collider detector are needed, with lifetime-based c-tagging capabilities; and {\it (ii)} a precision device for luminosity measurement with Bhabha scattering, absent in the CMS design. The estimates presented in this note are based on the simultaneous operation of four of these detectors. As mentioned earlier, a configuration with only two such detectors would lead to a moderate 20\% increase of all statistical uncertainties presented here.  A specificity of TLEP is the run at the Z pole with an instantaneous luminosity of $5\times 10^{35}\,\cms$ at each interaction point, corresponding to a trigger rate of 15 kHz for Z decays in the central detector, and 60 kHz for Bhabha scattering in the luminometer. This rate is of the same order of magnitude as that proposed for the LHCb upgrade, and the size of the TLEP events is comparable or smaller. In addition, the events will be as ``clean'' as at LEP, with no pile-up interactions and little beam backgrounds. No insurmountable difficulty is therefore expected in this respect, but the design study will need to ascertain the data analysis feasibility feasibility, including an assessment of the online and offline computing resources needs,  with such a this  high trigger rate.