Higgs-strahlung and pair production in the e+e- collision in the noncommutative standard model

The Higgs-strahlung process e(+)e(-) -> ZH and pair production process e(+)e(-) -> HH 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 the Seiberg-Witten map. It is shown that the total cross section and angular distribution can be significantly affected because of space-time 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- -> mu(+)mu(-) is also given.