Chapter 10
Jet-vetoed cross sections

The jet veto scale pTveto can induce large logarithms if it is smaller than the hard process scale Q, which then mandates resummation. We consider processes where jets have been defined using sequential recombination jet algorithms [64] with distance measure
dij = min(kTi2n,k Tj2n)Δyij2 + Δϕ ij2 R2 ,diB = kTi2n, (10.1)

where the choice n = 1 is the anti-kT algorithm [59], n = 0 is the Cambridge-Aachen algorithm [65, 66], and n = 1 is the kT algorithm [67, 68]. kTi denotes the transverse momentum of (pseudo-)particle i with respect to the beam direction, and Δyij and Δϕij are the rapidity and azimuthal angle differences of (pseudo-)particles i and j.

10.1 Benchmark results for jet-vetoed cross sections

Results for benchmark cross sections for a variety of single-boson processes taken from ref. [10] are shown in Tables 10.110.3 and for diboson processes in Tables 10.410.6. The input files are linked in the tables. The uncertainties indicated in these tables represent the numerical integration (Monte Carlo) uncertainty.

Final state input file contribution cross section
H H/veto30nlo.ini NLO 26.23 ± 0.01 pb
H/veto30nnlo.ini NNLO 28.97 ± 0.09 pb
H/veto30nnll.ini NNLL 24.89 ± 0.01 pb
H/veto30n3ll.ini N3LLp 24.29 ± 0.01 pb
H/veto30nlomc.ini NLO+NNLL MC 2.25 ± 0.01 pb
H/veto30nnlomc.ini NNLO+N3LLp MC 3.89 ± 0.19 pb
    
Table 10.1: Benchmark results for jet-vetoed Higgs cross sections.

Final state input file contribution cross section
W+ W/vetowp30nlo.ini NLO 3.048 ± 0.001 nb
W/vetowp30nnlo.ini NNLO 2.81 ± 0.003 nb
W/vetowp30nnll.ini NNLL 2.517 ± 0.002 nb
W/vetowp30n3ll.ini N3LLp 2.250 ± 0.002 nb
W/vetowp30nlomc.ini NLO+NNLL MC 0.561 ± 0.006 nb
W/vetowp30nnlomc.ini NNLO+N3LLp MC 0.57 ± 0.02 nb
    
W W/vetowm30nlo.ini NLO 2.101 ± 0.001 nb
W/vetowm30nnlo.ini NNLO 1.979 ± 0.002 nb
W/vetowm30nnll.ini NNLL 1.796 ± 0.002 nb
W/vetowm30n3ll.ini N3LLp 1.600 ± 0.001 nb
W/vetowm30nlomc.ini NLO+NNLL MC 0.327 ± 0.003 nb
W/vetowm30nnlomc.ini NNLO+N3LLp MC 0.33 ± 0.01 nb
    
Table 10.2: Benchmark results for jet-vetoed W± cross sections.

Final state input file contribution cross section
Z Z/veto30nlo.ini NLO 668 ± 1 pb
Z/veto30nnlo.ini NNLO 628 ± 2 pb
Z/veto30nnll.ini NNLL 676 ± 2 pb
Z/veto30n3ll.ini N3LLp 596 ± 2 pb
Z/veto30nlomc.ini NLO+NNLL MC 11 ± 1 pb
Z/veto30nnlomc.ini NNLO+N3LLp MC 7.7 ± 0.7 pb
    
Table 10.3: Benchmark results for jet-vetoed Z cross sections.

Final state input file contribution cross section
WW WW/veto30nlo.ini NLO 234.0 ± 0.2 fb
WW/veto30nnlo.ini NNLO 242.7 ± 0.4 fb
WW/veto30nnll.ini NNLL 204.7 ± 0.2 fb
WW/veto30n3ll.ini N3LLp 205.2 ± 0.2 fb
WW/veto30nlomc.ini NLO+NNLL MC 25.8 ± 0.9 fb
WW/veto30nnlomc.ini NNLO+N3LLp MC 19.8 ± 0.6 fb
    
Table 10.4: Benchmark results for jet-vetoed W+W cross sections.

Final state input file contribution cross section
W+Z WZ-atlas/vetowp25nlo.ini NLO 20.11 ± 0.01 fb
WZ-atlas/vetowp25nnlo.ini NNLO 19.14 ± 0.02 fb
WZ-atlas/vetowp25nnll.ini NNLL 18.87 ± 0.01 fb
WZ-atlas/vetowp25n3ll.ini N3LLp 17.72 ± 0.01 fb
WZ-atlas/vetowp25nlomc.ini NLO+NNLL MC 0.17 ± 0.06 fb
WZ-atlas/vetowp25nnlomc.ini NNLO+N3LLp MC 0.07 ± 0.01 fb
    
WZ WZ-atlas/vetowm25nlo.ini NLO 13.54 ± 0.01 fb
WZ-atlas/vetowm25nnlo.ini NNLO 12.82 ± 0.01 fb
WZ-atlas/vetowm25nnll.ini NNLL 12.66 ± 0.01 fb
WZ-atlas/vetowm25n3ll.ini N3LLp 11.77 ± 0.01 fb
WZ-atlas/vetowm25nlomc.ini NLO+NNLL MC 0.21 ± 0.04 fb
WZ-atlas/vetowm25nnlomc.ini NNLO+N3LLp MC 0.12 ± 0.01 fb
    
Table 10.5: Benchmark results for jet-vetoed WZ cross sections.

Final state input file contribution cross section
ZZ ZZ/veto30nlo.ini NLO 12.17 ± 0.01 fb
ZZ/veto30nnlo.ini NNLO 12.88 ± 0.01 fb
ZZ/veto30nnll.ini NNLL 11.90 ± 0.01 fb
ZZ/veto30n3ll.ini N3LLp 11.85 ± 0.01 fb
ZZ/veto30nlomc.ini NLO+NNLL MC 0.22 ± 0.01 fb
ZZ/veto30nnlomc.ini NNLO+N3LLp MC 0.17 ± 0.01 fb
    
Table 10.6: Benchmark results for jet-vetoed ZZ cross sections.