Fixed-order QCD radiative corrections to the vector-boson and Higgs associated production channels, pp→VH (V=W^±, Z), at hadron colliders are well understood. We combine higher-order perturbative QCD calculations with soft gluon resummation of both threshold logarithms and logarithms which are important at a low transverse momentum of the $VH$ pair. We study the effects of both types of logarithms on the scale dependence of the total cross section and on various kinematic distributions. The next-to-next-to-next-to-leading logarithmic resummed total cross sections at the LHC are almost identical to the fixed-order perturbative next-to-next-to-leading order rates, indicating the excellent convergence of the perturbative QCD series. Resummation of the $VH$ transverse momentum (pT) spectrum provides reliable results for small values of pT and suggests that implementing a jet veto will significantly decrease the cross sections.
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Dawson et al. (2012) studied this question.
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