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

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.

arXiv comment14 pages, 8 figures

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• Higgs production in $e^{-}{e}^{+}$ collisions as a probe of noncommutativity
• Search for associated production of Higgs with Z boson in the noncommutative Standard Model at linear colliders
• Effect of earth rotation on pair production of Standard Model Higgs bosons at linear colliders in the noncommutative space-time
• $\mathcal{O}(\theta )$ Feynman rules for quadrilinear gauge boson couplings in noncommutative standard model