signal event selection efficiency in the i th dijet mass bin and n$_{i}$/n$_{tot}$ is the predicted signal fraction in bin i . For each value of σ $^{sig}$, the likelihood is maximized with respect to the four parameters in Equation (9). This profiled likelihood is integrated over Bayesian priors for the parameters describing the systematic uncertainties [71]. A flat prior on σ sig is used to extract a Bayesian upper limit on that parameter. The mass exclusion limits for W $^{′}$, Z $^{′}$, q ∗ and G ∗ are determined by comparing the limits obtained using their respective signal shapes and the predicted theoretical cross section. For other models, the limits obtained for the above four signal shapes are used. The q ∗ signal shape ( qg ) is used for axigluons, the flavor-universal coloron and the E$_{6}$ diquark, as these particles do not decay into modes which include gluons and thus their signal shapes are expected to be narrower than the q ∗ signal shape. For ρ$_{T}$$_{8}$ , the limits obtained for the G ∗ shape are used. Both the ρ$_{T}$$_{8}$ and the G ∗ decay into q ¯ q or gg , but the branching fraction of G ∗ into gg is higher. Thus in all the above cases, the obtained exclusion limits are conservative. The limits for these models are given in Table I. TABLE I: The limits on the masses of particles decaying into dijet in various models. Limits are in units of GeV /c 2 [70]. Model Parameters Excluded Region q ∗ f = f ′ = f$_{s}$ 260 - 870 axigluons 260 - 1250 coloron 290 - 630 E$_{6}$ diquark 260 - 1100 ρ$_{T}$$_{8}$ 280 - 840 W ′ SM 280 - 840 Z ′ SM 320 - 740 G ∗ k/M$_{P l}$ = 0 . 1 - The dijet mass spectrum measured by the DØ collaboration in six rapidity bins [72] is shown in Figure 11. The rapidity bin is labeled by the higher of the two jet rapidities. The data are compared to NLO pQCD predictions computed by FastNLO [17] using the MSTW2008 NLO PDFs [55] with scale µ$_{R}$ = µ$_{F}$ = ( p$_{T,}$$_{1}$ + p$_{T,}$$_{2}$ ) / 2 and are corrected for 30