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We present a generator for the production of a Higgs boson H in associationwith a vector boson V=W or Z (including subsequent V decay) plus zero and onejet, that can be used in conjunction with general-purpose shower Monte Carlogenerators, according to the POWHEG method, as implemented within the POWHEGBOX framework. We have computed the virtual corrections using GoSam, a programfor the automatic construction of virtual amplitudes. In order to do so, wehave built a general interface of the POWHEG BOX to the GoSam package. Withthis addition, the construction of a POWHEG generator within the POWHEG BOX isnow fully automatized, except for the construction of the Born phase space. OurHV + 1 jet generators can be run with the recently proposed MiNLO method forthe choice of scales and the inclusion of Sudakov form factors. Since the HVproduction is very similar to V production, we were able to apply an improvedMiNLO procedure, that was recently used in H and V production, also in thepresent case. This procedure is such that the resulting generator achieves NLOaccuracy not only for inclusive distributions in HV + 1 jet production but alsoin HV production, i.e. when the associated jet is not resolved, yielding afurther example of matched calculation with no matching scale.

HW/HZ + 0 and 1 jet at NLO with the POWHEG BOX interfaced to GoSam and their merging within MiNLO