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\usepackage{xspace}
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\usepackage{amsmath}
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\usepackage{longtable}
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\begin{document}
\begin{tabular}{cc}
\hline
Forward &\\
$y^*$&$\frac{\mathrm{d} \sigma}{\mathrm{d} y^*}$ [ $\mathrm{ \,mb}$ \xspace]\\
\hline
$[1.5,2.0]$&$35.87\pm1.24\pm2.08$\\
$[2.0,2.5]$&$36.41\pm0.27\pm2.95$\\
$[2.5,3.0]$&$34.84\pm0.21\pm2.73$\\
$[3.0,3.5]$&$29.70\pm0.23\pm1.86$\\
$[3.5,4.0]$&$23.28\pm0.34\pm1.21$\\
\hline
Backward &\\
$y^*$&$\frac{\mathrm{d} \sigma}{\mathrm{d} y^*}$ [ $\mathrm{ \,mb}$ \xspace]\\
\hline
$[-3.0,-2.5]$&$35.81\pm1.32\pm2.49$\\
$[-3.5,-3.0]$&$36.28\pm0.44\pm2.49$\\
$[-4.0,-3.5]$&$34.33\pm0.40\pm2.14$\\
$[-4.5,-4.0]$&$27.86\pm0.53\pm1.65$\\
$[-5.0,-4.5]$&$21.14\pm0.91\pm1.67$\\
\hline
\end{tabular}
\end{document}
