Yukawa couplings and seesaw neutrino masses in noncommutative gauge theory

TL;DR

This paper develops a noncommutative gauge theory framework that incorporates neutrino masses and Yukawa couplings nonperturbatively, enabling a consistent extension of the standard model on noncommutative spacetime with new neutrino-gauge interactions.

Contribution

It introduces a theta-exact, nonperturbative approach to noncommutative gauge theories that includes neutrino masses and Yukawa couplings, overcoming previous limitations of Seiberg-Witten map based models.

Findings

Neutrino mass terms are consistently incorporated in noncommutative gauge theory.

Spacetime noncommutativity naturally induces neutrino-photon and neutrino-Z boson couplings.

Derived Feynman rules for the type I seesaw mechanism in this framework.

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.