Neutral Higgs boson pair production at the LC in the Noncommutative Standard Model

TL;DR

This paper investigates Higgs boson pair production in a noncommutative extension of the Standard Model at future linear colliders, revealing potential observable effects and bounds on the noncommutative scale from existing experiments.

Contribution

It introduces a novel calculation of Higgs pair production in a noncommutative Standard Model, showing it can be significant and setting bounds on the noncommutative scale from experimental data.

Findings

Higgs pair production is possible in the noncommutative model, unlike in the standard model.

The cross section can be significant for noncommutative scales 0.5-1.0 TeV.

Bounds on the noncommutative scale are established between 665 GeV and 998 GeV.

Abstract

We study the Higgs boson pair production through $e^+e^-$ collision in the noncommutative(NC) extension of the standard model using the Seiberg-Witten maps of this to the first order of the noncommutative parameter $\Theta_{\mu \nu}$. This process is forbidden in the standard model with background space-time being commutative. We find that the cross section of the pair production of Higgs boson (of intermediate and heavy mass) at the future Linear Collider(LC) can be quite significant for the NC scale $\Lambda$ lying in the range $0.5 - 1.0$ TeV. Finally, using the direct experimental(LEP II, Tevatron and global electro-weak fit) bound on Higgs mass, we obtain bounds on the NC scale as 665 GeV $\le \Lambda \le 998$ GeV.