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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 rapidly add up because of the high beam crossing rate in circular colliders. Solutionsto mitigate this effect  (momentum acceptance increase, flatter beams, smaller emittances, larger top-off injection frequency, beam charge compensation) to mitigate this effect  are proposed in Ref.~\cite{cite:1305.6498}. Therefore, For illustration,  the luminosities of Fig.~\ref{fig:lumi} are obtained with a rather large vertical beam size (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. TLEP.  Concretely, the beamstrahlung-induced beam energy spread is expected to be smaller than 0.1\% at TLEP, 0.1\%,  i.e., much smaller than the spread of 2\% expected from initial state radiation (common to all $\epem$ colliders), see Fig.~\ref{fig:beamstrahlung} for $\sqrt{s}=240$ GeV.