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Photon-neutrino scattering in noncommutative space

We extend the noncommutative standard model based on the minimal SU(3)xSU(2)xU(1) gauge group to include the interaction of photon with neutrinos. We show that, in the gauge invariant manner, only the right-handed neutrino can directly couple to the photon. Consequently, we obtain the Feynman rule for the {gamma}{nu}{nu}-vertex which does not exist in the minimal extension of the noncommutative standard model (mNCSM). We calculate the amplitude for {gamma}{nu}{yields}{gamma}{nu} in both the nonminimal noncommutative standard model (nmNCSM) and the extended version of mNCSM. The obtained cross section grows in the center of mass frame, respectively, as ({theta}{sub NC}){sup 2}M{sub Z}{sup -4}E{sup 6} and ({theta}{sub NC}){sup 4}E{sup 6} which can exceed the cross section for {gamma}{nu}{yields}{gamma}{gamma}{nu} and {gamma}{nu}{yields}{gamma}{nu} in the high energy limit in the commutative space.