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noimg: NLO branching ratios, ${\cal{B}}(W'_R \rightarrow tb)$, and $W'_R$ production cross section times the branching ratio value, $\sigma(pp \rightarrow W'_R) \times {\cal{B}}(W'_R \rightarrow tb)$, in $pp$ collisions at 7~\TeV~center-of-mass energy~\cite{ZackSullivan}. The uncertainties on the branching ratios are due to the top quark mass uncertainty. The uncertainties on the cross sections include statistical, $\alpha_s$, NLO renormalization and factorization scales, and PDF uncertainties.: Predicted signal event yields derived using the theoretical cross section times the branching ratio values for $W'_R \rightarrow tb$, for single- and double-tagged two-jet events in 1.04~$\mathrm{fb}^{-1}$ of data. The uncertainties correspond to the NLO cross section uncertainties~\cite{ZackSullivan}.: Predicted background event yields compared to the total observed event yields for single- and double-tagged two-jet events in 1.04~$\mathrm{fb}^{-1}$ of data. All $W$+jet samples are scaled by the factors determined from data, with the uncertainties also derived from data. The multijet estimation is from the fitting method with a 50$\%$ (100$\%$) uncertainty for single(double)-tagged events. All the other predictions are derived using the theoretical cross sections and uncertainties.

The distribution of $m_{tb}$ for single-tagged (top) and double-tagged (bottom) two-jet events in data compared to Standard Model expectations. The expected $W'_R$ signal, normalized to the theoretical cross section times the ${\cal{B}}(W'_R \rightarrow tb)$ values from Table~\ref{tab:signal_xs}, has been scaled by a factor of 10. The effect of the jet energy scale (JES) uncertainty on the predicted background is shown, as are the data statistical uncertainties. The bin width is constant in log($m_{tb}$). The highest bin in each plot includes overflows.

The distribution of $m_{tb}$ for single-tagged (top) and double-tagged (bottom) two-jet events in data compared to Standard Model expectations. The expected $W'_R$ signal, normalized to the theoretical cross section times the ${\cal{B}}(W'_R \rightarrow tb)$ values from Table~\ref{tab:signal_xs}, has been scaled by a factor of 10. The effect of the jet energy scale (JES) uncertainty on the predicted background is shown, as are the data statistical uncertainties. The bin width is constant in log($m_{tb}$). The highest bin in each plot includes overflows.

95$\%$ CL limit on the cross section, $\sigma(pp \rightarrow W'_R)$, times branching ratio for $W'_R \rightarrow tb$ as a function of the $W'$ boson mass. The theory curve is also shown.