Non-Commutative Extensions of the Standard Model

Abstract

Four different extensions of the Standard Model to non-commutative space-time are considered. They all have the structure group U_Y(1) x SU_L(2) x SU_c(3) but differ through the way Yukawa interaction is implemented. Models based on non-commutative tensor products involve, in general several inequivalent Seiberg-Witten maps of some (Higgs or fermionic) matter field. The non-minimal Non-Commutative Standard Model, advocated by the Munich Group is reproduced at lowest order in the non-commutativity parameter by a particular model of this class. On the other hand, models based on hybrid Seiberg-Witten maps predict electromagnetic couplings of neutral particles like Z-boson, Higgs meson, or neutrino. The non-commutative contributions of the above Standard Model extensions at low energies are evaluated by integrating out all massive bosonic degrees of freedom.

32 pages, LaTeX2e, uses latexsym.sty and slashed.sty; corrected formulas: (5.5), (5.6), (5.12), (6.14), (6.16), references added, typographical errors corrected

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Cited by in corpus (1)

• Search for noncommutative interactions in $\gamma \gamma \to \gamma \gamma$ process at the LHC