Higgsstrahlung and pair production in $e^{+}e^{-}$ collision in the noncommutative standard model

TL;DR

This paper investigates how noncommutative spacetime modifies Higgsstrahlung and pair production processes in electron-positron collisions, revealing significant effects at energies above 1 TeV and identifying optimal collision energies related to the noncommutative scale.

Contribution

It derives all-order Feynman rules for noncommutative effects in the minimal NC standard model and analyzes their impact on specific collider processes.

Findings

Cross sections and angular distributions are significantly affected above 1 TeV.

An optimal collision energy exists for maximum noncommutative effects.

Optimal energy varies linearly with the noncommutative scale.

Abstract

The higgsstrahlung process $e^+e^-\to Z H$ and pair production process $e^+e^- \to H H$ are studied in the framework of the minimal noncommutative (NC) standard model. In particular, the Feynman rules involving all orders of the noncommutative parameter $\theta$ are derived using reclusive formation of Seiberg-Witten map. It is shown that the total cross section and angular distribution can be significantly affected because of spacetime noncommutativity when the collision energy exceeds to 1 \tev. It is found that in each process, there is an optimal collision energy ($E_{oc}$) for achieving the greatest noncommutative effect, and $E_{oc}$ varies linearly with the NC scale $\Lambda_{NC}$. A brief discussion on the process $e^+e^- \to\mu^+ \mu^-$ is also given.