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

TL;DR

This paper predicts how noncommutative geometry affects the Higgs boson’s transverse momentum distribution in Higgs + jet production at hadron colliders, highlighting significant effects at high transverse momentum.

Contribution

It introduces a leading-order calculation of the Higgs $p_t$ distribution within a noncommutative standard model and proposes a matching method to incorporate standard parton shower effects.

Findings

Large-$p_t$ region is strongly affected by non-commutativity.

Small-$p_t$ region remains similar to the standard model.

Matching method enables combined predictions at all $p_t$ ranges.

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 $\Theta$ as well as leading order in the strong coupling $\alpha_s$, the one-loop $p_t$ distribution of the Higgs boson. As in the standard model, the fixed-order distribution suffers from large logarithms at small $p_t$ which require an all-orders resummation. We find that the large-$p_t$ region of the distribution is strongly affected by the non-commutativity, while small-$p_t$ 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 $p_t$ 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.