Eur. Phys. J. C (2007) 51: 217-228
https://doi.org/10.1140/epjc/s10052-007-0291-x

Regular Article - Theoretical Physics

A non-commutative version of the minimal supersymmetric standard model

High Energy Physics Division, Department of Physical Sciences, University of Helsinki, Helsinki Institute of Physics, P.O. Box 64, 00014, Helsinki, Finland

^* e-mail: masato.arai@helsinki.fi

Received: 27 September 2006
Revised: 19 November 2006
Published online: 1 June 2007

Abstract

A minimal supersymmetric standard model on non-commutative space-time (NC MSSM) is proposed. The model fulfills the requirements of non-commutative gauge invariance and the absence of anomaly. The existence of supersymmetry with a scale of its breaking lower than the non-commutative scale is crucial in order to achieve consistent gauge symmetry breaking.