deletions | additions       diff --git a/Z partial widths and peak cross section.tex b/Z partial widths and peak cross section.tex  index 1755fa1..0463a64 100644  --- a/Z partial widths and peak cross section.tex  +++ b/Z partial widths and peak cross section.tex 
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\end{equation}  with a systematic uncertainty of 0.007. The experimental uncertainty was dominated by the statistics of leptonic decays, and other uncertainties related to the event selection will tend to decrease with statistics. The remaining systematic uncertainty were related to the $t$-channel contribution in the electron channel (which would vanish by the sole use of the muon channel) and to the detailed modelling of final-state radiation or emission of additional lepton pairs. Here, theory should be considerably helped by the large sample of leptonic Z decays available for the study of these rare processes. \\   {\em A relative precision of less than $10^{-5}$ is considered to be a reasonable target for the ratio of the Z hadronic-to-leptonic partial widths at TLEP}.\\  Furthermore, The precision measurements of the partical withs into electron, muon and tau pairs will also allow  tests of the lepton universality in Z decays can be with  considerably improved precision  compared to thepresent precision of  $3 10^{-3}$ inferred from LEP-SLC the LEP  data. {\em The It is reasonable to consider that the  TLEP statistics should enable one to probe will allow lepton  universality to be probed  at the $10^{-5}$ level.} level.  \subsubsection{The peak hadronic cross section and the number of neutrinos}