Transverse momentum and rapidity distributions of top quarks in pair and single top quark production within the non-commutative standard model at the LHC

TL;DR

This study investigates how non-commutative geometry modifies top quark production processes at the LHC, revealing significant deviations at high energies and offering potential signals for new physics beyond the Standard Model.

Contribution

It provides the first detailed calculation of non-commutative corrections to top quark production amplitudes and distributions, including a novel matching technique for low transverse momentum regions.

Findings

Non-commutative corrections cause notable deviations at high energies.

Differential distributions are significantly affected by non-commutative effects.

The results suggest potential observable signals of non-commutative geometry at collider energies.

Abstract

This paper presents a comprehensive study of top quark phenomenology within the Non-Commutative Standard Model. We calculate non-commutative corrections to the squared amplitudes for top quark pair production, as well as for single top quark production via the $t$-channel and $tW$-channel, while noting that the $s$-channel remains unaffected by non-commutative geometry. Utilizing MadGraph5_aMC@NLO, we determine total cross-sections at various center-of-mass energies and examine differential distributions in transverse momentum and rapidity at leading order in both the strong coupling $\alpha_S$ and the non-commutative parameter $\Theta$. For single top production in the $t$-channel, a matching technique is employed to extend the validity of the distribution to low $p_t^{top}$ values through resummation. We also compare the non-commutative corrections with higher-order QCD corrections obtained at NLO using MCFM and at NNLO from existing literature. Our findings reveal significant deviations arising from non-commutative geometry at high energies, providing insights into potential new physics at energy scales accessible by current and future colliders.