e+e-→μ+μ- scattering in the noncommutative standard model

We study muon pair production e+e-→μ+μ- in the noncommutative (NC) extension of the standard model using the Seiberg-Witten maps of this to the second order of the noncommutative parameter Θμν. Using O(Θ2) Feynman rules, we find the O(Θ4) cross section (with all other lower order contributions simply cancelled) for the pair production. The momentum dependent O(Θ2) NC interaction significantly modifies the cross section and angular distributions which are different from the commuting standard model. We study the collider signatures of the space-time noncommutativity at the International Linear Collider (ILC) and find that the process e+e-→μ+μ- can probe the NC scale Λ in the range 0.8-1.0 TeV for typical ILC energy ranges.