Abstract
We consider the transverse-momentum (pT ) distribution of ZZ and W + W boson pairs produced in hadron collisions. At small pT , the logarithmically enhanced contributions due to multiple soft-gluon emission are resummed to all orders in QCD perturbation theory. At intermediate and large values of pT , we consistently combine resummation with the known xed-order results. We exploit the most advanced perturbative information that is available at present: next-to-next-to-leading logarithmic resummation combined with the next-to-next-to-leading xed-order calculation. After integration over pT , we recover the known next-to-next-to-leading order result for the inclusive cross section. We present numerical results at the LHC, together with an estimate of the corresponding uncertainties. We also study the rapidity dependence of the pT spectrum and we consider pT eciencies at dierent orders of resummed and xed-order perturbation theory.
Highlights
JHEP08(2015)154 and off-shell effects at the NLO were first included in refs. [10, 11] using the corresponding one-loop helicity amplitudes [12]
We compare our NNLL+next-to-next-to-leading order (NNLO) predictions to the results at the next-to-leading logarithmic (NLL)+NLO, and discuss the corresponding theoretical uncertainties
Comparing the right panels of figure 4 and figure 5, we see that the quality of the matching at high pT is significantly improved when going from NLL+NLO to NNLL+NNLO, and we find that this behaviour is preserved up to very high transverse momenta
Summary
We recall the main points of the transverse-momentum resummation formalism we use in this paper. Since already performed within the qT -subtraction formalism, the extension of these calculations to compute the resummed cross section is conceptually quite straightforward, and is obtained by replacing the hard-collinear terms in the fixed-order computation by the proper all-order resummation formula of eq (2.5). This procedure is the same that was applied to perform the NLL+NLO calculations for W +W − [55] and ZZ [56] production, and the NNLL+NNLO calculation for Higgs boson production of ref. To deal with problematic phase-space points, OpenLoops provides a rescue system using the quadruple-precision implementation of the OPP method in CutTools [87], involving scalar integrals from OneLOop [88]
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