Phenomenology of jet observables at particle colliders

Abstract

Within the framework of the non-commutative Standard Model, one of the models beyond the Standard Model, we conducted two phenomenological studies in Higgs physics and top quark physics in hadron collisions at the Large Hadron Collider. In Higgs physics, we present a phenomenological prediction for the transverse momentum distribution of Higgs boson production with one jet using the non-commutative effective standard model. Similar to the usual standard model, when performing calculations at the leading order of both the non-commutative geometry parameter Θ and the strong coupling s, the fixed-order distribution suffers from large logarithms at small pt, necessitating the resummation of all-orders. Our analysis reveals that the tail of the distribution (i.e., the region with large pt) is affected by non-commutative corrections, while the region with small pt is unaffected. Based on this observation, we propose a simple matching technique that enables us to derive a distribution of non-commutativity that does not suffer from divergences at low pt, obtained with standard-model parton showers such as Pythia 8. We also present a comparison of our results with the next-toleading order and next-to-next-to-leading order distributions in standard model to evaluate higher-order effects in the search for non-commutativity in colliders. We also present phenomenological predictions in top quark physics for the transverse momentum and rapidity distributions to produce a top quark pair and for the transverse momentum distribution to produce a single top quark through the t-channel and the tW associative channel. The results of the calculations at the leading order in both Θ and s show that the transverse momentum distribution of the top quark is affected by non-commutative corrections in the tail of the distribution in the pair production process, as well as in the tW associative channel, similar to the Higgs+jet production process. While the t-channel distribution is affected for small p top t , in contrast to the other results, the latter also suffers from divergences for small p top t , necessitating the use of resummation for all orders. The distribution of rapidity for the production of a top quark pair appears in the analyses, indicating that non-commutative correction strongly affects the center of the distribution, and this effect decreases at the edges of the distribution.