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\subsection{Luminosity and Energy}  The state-of-the-art machine parameters can be found in Ref.~\cite{cite:1305.6498}, for the four centre-of-mass energies of interest, the Z pole ($\sqrt{s} \sim m_{\rm Z}$), the WW threshold ($\sqrt{s} \sim 2 m_{\rm W}$), the HZ cross-section maximum ($\sqrt{s} \sim 240$ GeV), and the top-pair threshold ($\sqrt{s} \sim 2m_{\rm top}$). The 12 GV RF system is designed to compensate for the energy loss by synchrotron radiation at the maximum centre-of-mass energy ($\sim 350$ GeV), at which an instantaneous luminosity of $1.3\times 10^{34} \cms$ can be delivered at each interaction point. At lower centre-of-mass energies, the energy losses decrease steeply like $1/E^4_{\rm beam}$, and the RF power thus made available can be used to accelerate a much larger number of ${\rm e}^\pm$ bunches. As a result, the instantaneous luminosity increases approximately like $1/E^3_{\rm beam}$ when the centre-of-mass energy decreases. (The smaller exponent is a consequence of the tighter beam-beam limit at lower energies.) The values of the instantaneous luminosities expected at each energy are displayed in Table~\ref{tab:lumi}, together with other important parameters of the machine (beam size, total RF power, number of bunches, etc.).It is important to note that these values are obtained in a configuration of the collider with four interaction points, for which the beam-beam tune shift can be obtained directly from measurements performed at LEP1 and LEP2 in the 90's. For this reason, the instantaneous luminosity summed over the four interaction points is also shown in Fig.~\ref{fig:lumi}. Should TLEP operate with less detectors (e.g., 1 or 2), the smaller beam-beam effects would tend to increase the instantaneous luminosity at each interaction point by a factor possibly as large as $4/n_{\rm IP}$     Summary of the machine parameters (with reference to the IPAC paper), comparison with Linear Colliders. Explanation of the increase when the centre-of-mass energy decreases.