deletions | additions       diff --git a/Beamstrahlung.tex b/Beamstrahlung.tex  index cd130b1..3a1a0ab 100644  --- a/Beamstrahlung.tex  +++ b/Beamstrahlung.tex 
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\subsection{Beamstrahlung}  Beamstrahlung is an issue for $\epem$ rings, as its effects may cause the beam lifetime to be become  unacceptably small. Indeed Indeed,  the repeated losses of even  avery  tiny fraction of the beam at each collision exponentially add up because of the very large high  beam crossing rate in circular colliders. Solutions to mitigate these effects (momentum acceptance increase, larger top-off injection efficiency, beam charge compensation) are proposed in Ref.~\cite{cite:1305.6498}. On the other hand, the large repetition rate allows the luminosities of Fig.~\ref{fig:lumi} with a  vertical beam size to be very much  relaxed at TLEP (100 (from 100  to 200 300  nm) with respect to what is needed at a linear collider (3 to 7 nm) (from 6  to achieve the luminosity of Fig.~\ref{fig:lumi}. 8 nm).  As a consequence, beamstrahlung effects are benign for the physics case 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}. Fig.~\ref{fig:beamstrahlung} for $\sqrt{s}=240$ GeV.