Constraints on Randall-Sundrum model from the events of dijet production with QCD next-to-leading order accuracy at the LHC

We study the dijet production in the Randall–Sundrum model at the LHC with QCD next-to-leading (NLO) order accuracy. Our results show that the QCD NLO corrections can increase the total cross sections by more than 80% and reduce the scale dependence. We also explore in detail several important kinematic distributions at the NLO level. Moreover, we discuss the upper limits of the Klauza-Klein graviton excluded mass range and the allowed parameter space for the coupling constant and Klauza-Klein graviton mass, using the experiment data.

Figure 1

Tree-level Feynman diagrams for KK graviton production and decay into dijet.

Figure 2

One-loop Feynman diagrams for the production of the KK graviton.

Figure 3

Real correction Feynman diagrams for the production of the KK graviton.

Figure 4

Real correction Feynman diagrams for the decay of the KK graviton.

Figure 5

Decay channels of the KK graviton.

Figure 6

The LO and NLO decay widths of the KK graviton for different KK graviton mass.

Figure 7

Total cross sections for $pp\to G\to jj$ at the LHC as a function of ${\delta }_s$ in the phase space slicing treatment. The ${\delta }_c$ is chosen to be ${\delta }_c={\delta }_s/50$.

Figure 8

The NLO K factors as functions of the heavy resonance mass at the LHC. The long dotted and solid lines correspond to including the total NLO QCD corrections and the corrections from the production part alone, respectively.

Figure 9

The ratios of the total cross sections from different channels for the graviton as functions of the graviton mass at both the LO and the NLO.

Figure 10

Scale dependence of the total cross sections for dijet production through the RS KK graviton at the LHC with different KK graviton mass.

Figure 11

Differential cross sections in the invariant mass for the final state dijet through the RS KK graviton; the left plot shows the LO, NLO results, and the NLO corrections. The right plot shows the NLO corrections from production and decay separately.

Figure 12

Normalized differential cross sections of the invariant mass for the final state dijet through the RS KK graviton with $m_{\mathrm{KK}}=1.5$ and 2 TeV.

Figure 13

The LO and NLO differential cross sections in the transverse momentum $p_T$ of the two leading jets in dijet production. Different types of lines correspond to different collider energy. The top row shows the result for the leading jet, while the bottom row shows the result for the next-to-leading jet. The left row and right row correspond to different graviton masses.

Figure 14

Observed upper limits at 95% C.L. on $\sigma \times A$ for resonances decaying to the dijet final state compared with the expected limits and their variation at the $1\sigma$ and $2\sigma$ levels.

Figure 15

Allowed parameter space (upper side, 95% C.L.) for dijet production through KK graviton at the LO and NLO.