8211 f(-p1) + f(-p2) e-(p3) + e+(p4) + νe(p5) + νe(p6), (both WW+ZZ)

8211.1 Di-boson production, processes 61–89

These processes represent the production of a diboson pair V 1V 2, where V 1 and V 2 may be either a W or Z∕γ*. All the processes in this section may be calculated at NLO with the exception of nproc=69. There are various possibilities for the subsequent decay of the bosons, as specified in the sections below. Amplitudes for the V 1V 2 process are taken from ref. [1]. We also include singly resonant diagrams at NLO for all processes in the case zerowidth = .false.. For more details on this calculation, please see Refs. [23].

For processes 62, 63, 64, 65, 74 and 75 the default behaviour is that the hadronic decay products of the bosons are clustered into jets using the supplied jet algorithm parameters, but no cut is applied on the number of jets. This behaviour can be altered by changing the value of the variable notag in the file src/User/setnotag.f.

Calculations of processes 61, 71, 76, 81 and 82 can be performed at NLO by subtraction, zero-jettiness slicing and qT-slicing. They can be computed at NNLO using zero-jettiness slicing and qT-slicing, as described in ’Non-local slicing approaches for NNLO QCD in MCFM’,[4]. For processes 61, 81 and 86 the NNLO corrections include glue-glue initiated box diagrams which first contribute at order αs2.

8211.2 WW+ZZ interfering

This process calculable at leading LO and next-to-leading order NLO. This process describes a specific final state which is accesible both from the decay to two W’s and two Z’s. The two processes can thus interfere.

This process has been treated in several papers, [2354].

8211.3 Plotter

nplotter_ZZlept.f is the default plotting routine.

8211.4 Example input and output file(s)

input8211.ini process8211.out

References

[1]    L.J. Dixon, Z. Kunszt and A. Signer, Helicity amplitudes for O(αs) production of W+W-, WZ, ZZ, Wγ, or pairs at hadron colliders, Nucl. Phys. B531 (1998) 3 [hep-ph/9803250].

[2]    J.M. Campbell and R.K. Ellis, An Update on vector boson pair production at hadron colliders, Phys. Rev. D 60 (1999) 113006 [hep-ph/9905386].

[3]    J.M. Campbell, R.K. Ellis and C. Williams, Vector boson pair production at the LHC, JHEP 07 (2011) 018 [1105.0020].

[4]    J.M. Campbell, R.K. Ellis and S. Seth, Non-local slicing approaches for NNLO QCD in MCFM, 2202.07738.

[5]    R. Boughezal, J.M. Campbell, R.K. Ellis, C. Focke, W. Giele, X. Liu et al., Color singlet production at NNLO in MCFM, Eur. Phys. J. C 77 (2017) 7 [1605.08011].