Photon-neutrino scattering in noncommutative space

We extend the noncommutative standard model based on the minimal SU(3) x SU(2) x U(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 ->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(NC))(MZ-4E6)-M-2 and (theta(NC))E-4(6) which can exceed the cross section for gamma nu ->gamma gamma nu and gamma nu ->gamma nu in the high energy limit in the commutative space.