Search for associated production of Higgs with Z boson in the noncommutative Standard Model at linear colliders

TL;DR

This paper investigates how noncommutative geometry affects Higgs-Z boson associated production at future linear colliders, considering Earth's rotation and noncommutative scale effects on cross-sections.

Contribution

It introduces a comprehensive calculation of the Higgs-Z production cross-section in the noncommutative standard model, including all orders of the noncommutative parameter and Earth's rotation effects.

Findings

Cross-section varies with noncommutative scale and collider energy.

Earth's rotation influences the azimuthal and rapidity distributions.

Potential to probe noncommutative effects at TeV-scale colliders.

Abstract

We study the associated Higgs production with Z boson at future linear colliders in the framework of the minimal noncommutative standard model. Using the Seiberg-Witten map, we calculate the production cross-section considering all orders of the noncommutative parameter $\Theta_{\mu\nu}$. We consider the effect of earth's rotation on the orientation of $\Theta_{\mu\nu}$ with respect to the laboratory frame and thus on the total cross-section, it's azimuthal distribution and rapidity distribution for the machine energy ranging from 0.5 TeV to 3.0 TeV corresponding to the noncommutative scale $\Lambda \ge $ 0.5 TeV.