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arXiv · 1109.3085

Yukawa couplings and seesaw neutrino masses in noncommutative gauge theory

Raul Horvat·Amon Ilakovac·Peter Schupp·Josip Trampetic·Jiangyang You
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Abstract

We consider Yukawa couplings in a theta-exact approach to noncommutative gauge field theory and show that both Dirac and singlet Majorana neutrino mass terms can be consistently accommodated. This shows that in fact the whole neutrino-mass extended standard model on noncommutative spacetime can the formulated in the new nonperturbative (in theta) approach which eliminates the previous restriction of Seiberg-Witten map based theories to low-energy phenomena. Spacetime noncommutativity induced couplings between neutrinos and photons as well as Z-bosons appear quite naturally in the model. We derive relevant Feynman rules for the type I seesaw mechanism.

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Raul Horvat, Amon Ilakovac, Peter Schupp, Josip Trampetic, Jiangyang You. 2012-07-21. Yukawa couplings and seesaw neutrino masses in noncommutative gauge theory. https://doi.org/10.1016/j.physletb.2012.07.046

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