Yukawa couplings and seesaw neutrino masses in noncommutative gauge theory

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.

10 pages, version to be published in Physics Letters B

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Cited by in corpus (23)

• Computing the θ-exact Seiberg-Witten map for arbitrary gauge groups
• Self-energies on deformed spacetimes
• Light-by-Light Scattering and Spacetime Noncommutativity
• Hydrogen and muonic-Hydrogen Atomic Spectra in Non-commutative Space-Time
• Photon self-interaction on deformed spacetime
• Seiberg-Witten maps and scattering amplitudes of NCQED
• Bound on Noncommutative Standard Model with Hybrid Gauge Transformation via Lepton Flavor Conserving $Z$ Decay
• Seiberg-Witten map Invariant Scatterings
• SO(10) GUTs with large tensor representations on Noncommutative Space-time
• Spacetime Deformation Effect on the Early Universe and the PTOLEMY Experiment
• Two-Point Functions on Deformed Spacetime
• The theta-exact Seiberg-Witten maps at the e3 order
• Inferring the covariant $\Theta$-exact noncommutative coupling in the top quark pair production at linear colliders
• The hybrid Seiberg-Witten map, its $\theta$-exact expansion and the antifield formalism
• Higgs Couplings in NonCommutative Standard Model
• Thermodynamical properties of a noncommutative anti-de Sitter-Einstein-Born-Infeld spacetime from gauge theory of gravity
• Aspects of perturbative quantum field theory on non-commutative spaces
• Inferring type and scale of noncommutativity from the PTOLEMY experiment
• Photon polarization tensor on deformed spacetime: A four-photon-tadpole contribution
• Propagation of spinors on a noncommutative spacetime: equivalence of the formal and the effective approach
• Revisiting NCQED and scattering amplitudes
• Three-dimensional noncommutative Yukawa theory: Induced effective action and propagating modes
• UV/IR mixing in Noncommutative SU(N) Yang-Mills theory