deletions | additions       diff --git a/Z partial widths and peak cross section.tex b/Z partial widths and peak cross section.tex  index 412a27e..3a76ee8 100644  --- a/Z partial widths and peak cross section.tex  +++ b/Z partial widths and peak cross section.tex 
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\subsubsection{The Z hadronic and leptonic partial widths}  \label{sec:Rell}  Determination of the Z partial widths requires measurements of branching ratios at the Z peak -- in particular the ratio of branching fractions of the Z boson into lepton and into hadrons -- and the peak hadronic cross section. The hadronic-to-leptonic ratio was measured at LEP to be   \begin{equation}