Higgs pt distribution in Higgs + jet production at hadron colliders within the noncommutative effective standard model

Abstract

We use the noncommutative Higgs effective standard model to make a phenomenological prediction for the transverse momentum distribution of the Higgs boson produced in association with a jet at hadron colliders. We calculate at leading order in the noncommutative parameter [Formula: see text] as well as leading order in the strong coupling [Formula: see text], the one-loop [Formula: see text] distribution of the Higgs boson. As in the standard model, the fixed-order distribution suffers from large logarithms at small [Formula: see text] which require an all-orders resummation. We find that the large-[Formula: see text] region of the distribution is strongly affected by the non-commutativity, while small-[Formula: see text] region is not. Following this observation, we propose a simple matching method that allows us to compute a result that is also valid at small [Formula: see text] obtained with standard-model parton showers such as Pythia 8. We also compare our results with the next-to-leading order (NLO) and next-to-next-to-leading order (NNLO) distributions in the standard model, in order to assess the importance of higher-order effects in the search for non-commutativity at colliders.