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We address the issues of clustering and non-global logarithms for jet shapesin the process of production of a Higgs/vector boson associated with a singlehard jet at hadron colliders. We perform an analytical fixed-order calculationup to second order in the coupling as well as an all-orders estimation for thespecific invariant mass distribution of the highest-$p_t$ jet, for various jetalgorithms. Our results are derived in the eikonal (soft) limit and are validup to next-to-leading logarithmic accuracy. We perform a matching of theresummed distribution to next-to-leading order results from MCFM and compareour findings with the outputs of the Monte Carlo event generators Pythia 8 andHerwig 7. After accounting for non-perturbative effects we compare our resultswith available experimental data from the CMS collaboration for the Z + jetproduction. We find good agreement over a wide range of the observable.

Jet mass distribution in Higgs/vector boson + jet events at hadron colliders with $k_t$ clustering