deletions | additions       diff --git a/Beamstrahlung.tex b/Beamstrahlung.tex  index 3a1a0ab..c239ba1 100644  --- a/Beamstrahlung.tex  +++ b/Beamstrahlung.tex 
...
\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 add up because of the high beam crossing rate in circular colliders. Solutions to mitigate these effects (momentum acceptance increase, larger top-off injection efficiency, frequency,  beam charge compensation) are proposed in Ref.~\cite{cite:1305.6498}. On the other hand, thelarge repetition rate allows the  luminosities of Fig.~\ref{fig:lumi} are obtained  with a vertical beam sizevery  much relaxed larger  at TLEP (from 100 to 300 nm) with respect 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.