Second-Order QCD Corrections to Jet Production at Hadron Colliders: The All-Gluon Contribution

We report the calculation of next-to-next-to-leading order QCD corrections in the purely gluonic channel to dijet production and related observables at hadron colliders. Our result represents the first next-to-next-to-leading order calculation of a massless jet observable at hadron colliders, and opens the path towards precision QCD phenomenology with the LHC.

Figure 1

Inclusive jet transverse energy distribution $d\sigma /d{p}_T$ for jets constructed with the anti-$k_T$ algorithm with $R=0.7$ and with $p_T>80\mathrm{GeV}$, $|y|<4.4$, and $\sqrt{s}=8\mathrm{TeV}$ at NNLO (blue), NLO (red), and LO (dark green). The lower panel shows the ratios of NNLO, NLO, and LO cross sections.

Figure 2

Scale dependence of the inclusive jet cross section for $pp$ collisions at $\sqrt{s}=8\mathrm{TeV}$ for the anti-$k_T$ algorithm with $R=0.7$ and with $|y|<4.4$ and $80\mathrm{GeV}<p_T<97\mathrm{GeV}$ at NNLO (blue), NLO (red), and LO (green).

Figure 3

The doubly differential inclusive jet transverse energy distribution $d^2\sigma /d{p}_{T}d|y|$ at $\sqrt{s}=8\mathrm{TeV}$ for the anti-$k_T$ algorithm with $R=0.7$ and for $E_T>80\mathrm{GeV}$ and various $|y|$ slices.

Figure 4

Double differential $k$ factors for $p_T>80\mathrm{GeV}$ and three $|y|$ slices: $|y|<0.3$, $0.3<|y|<0.8$, and $0.8<|y|<1.2$.

Figure 5

Exclusive dijet invariant mass distribution $d\sigma /d{m}_{jj}d{y}^{*}$ at $\sqrt{s}=8\mathrm{TeV}$ for $y^{*}<0.5$ with $p_{T1}>80\mathrm{GeV}$, $p_{T2}>60\mathrm{GeV}$, and $|y_1|$, $|y_2|<4.4$ at NNLO (blue), NLO (red), and LO (dark green). The lower panel shows the ratios of NNLO, NLO, and LO cross sections.