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\subsection{Beamstrahlung}  Beamstrahlung is an issue for $\epem$ rings, as its effects may cause the beam lifetime to become unacceptably small. Indeed, the repeated losses of even a tiny fraction of the beam at each collision exponentially rapidly  add up because of the high beam crossing rate in circular colliders. Solutions to mitigate these effects (momentum acceptance increase, larger top-off injection frequency, beam charge compensation) are proposed in Ref.~\cite{cite:1305.6498}. On the other hand, the luminosities of Fig.~\ref{fig:lumi} are obtained with a vertical beam size much larger at TLEP (from 100 to 300 nm) compared to what is needed at a linear collider (from 6 to 8 nm). As a consequence, beamstrahlung effects are benign for the physics performance of circular colliders. For example, the beamstrahlung-induced beam energy spread is expected to be smaller than 0.1\% at TLEP, i.e., much smaller than the spread of 2\% expected from initial state radiation (common to all $\epem$ colliders), and much smaller than the beamstrahlung-induced energy spread expected at linear colliders, as can be seen in Fig.~\ref{fig:beamstrahlung} for $\sqrt{s}=240$ GeV.