In this paper we construct a version of the standard model gauge sector on noncommutative space-time which is one-loop renormalizable to first order in the expansion in the noncommutativity parameter θ. The one-loop renormalizability is obtained by the Seiberg-Witten redefinition of the noncommutative gauge potential for the model containing the usual six representations of matter fields of the first generation.
In this work we propose the Z → γγ decay as a process strictly forbidden in the standard model, suitable for the search of noncommutativity of coordinates at very short distances. We computed the Z → γγ partial width in the framework of the recently proposed one-loop renormalizable gauge sector of the noncommutative standard model. New experimental possibilities at LHC are analyzed and a firm bound to the scale of noncommutativity parameter is set around 1 TeV.
In this paper we calculate the divergent part of the one loop effective action for QED on noncommutative space using the background field method. The effective action is obtained up to the second order in the noncommutative parameter θ and in the classical fields.
In this paper we show that in the noncommutative chiral gauge theories the 4-fermion vertices are finite. The 4ψ-vertices appear in linear order in quantization of the θ-expanded noncommutative gauge theories; in all previously considered models, based on Dirac fermions, the 4ψ-vertices were divergent and nonrenormalizable.
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