deletions | additions       diff --git a/alphasW.tex b/alphasW.tex  index 71bb297..a7cdbf4 100644  --- a/alphasW.tex  +++ b/alphasW.tex 
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\begin{eqnarray}  {\rm BR}({\rm W^+W^-} \to \ell^+ \nu \ell’^- \bar{\nu}) & = & (1-B_{\rm had})^2,\\  {\rm BR}({\rm W^+W^-} \to \ell^+ \nu {\rm q\bar{q}^\prime}) & = & (1-B_{\rm had})\times B_{\rm had},\\  {\rm BR}({\rm W^+W^-} \to {\rm q\bar{q}^\prime q^{\prime\prime}\bar{q}^{\prime\prime\prime}}) & = & B_{\rm had}^2.\\  \end{eqnarray}