Photon Neutrino Scattering in Non-Commutative Space
نویسندگان
چکیده
We extend the non-commutative standard model based on the minimal SU(3)×SU(2)× U(1) gauge group to include the interaction of photon with neutrino. We show that, in the gauge invariant manner, only the right handed neutrino can directly couple to the photon. Consequently, we obtained the Feynman rule for the γνν̄-vertex which is not already existed in the minimal extension of non-commutative standard model. We calculate the amplitude for γν → γν in both nmNCSM and the extended version of mNCSM. The obtained cross section grows in the center of mass frame as (θNC) E which can exceed the cross section for γν → γγν and γν → γν in the high energy limit in the commutative space.
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