Low-energy constraints on κ-Minkowski extension of the Standard Model

Abstract

We investigate the phenomenological consequences of κ-Minkowski extension of the Standard Model, working in the linear order in inverse κ. At this order the ∗-deformed Lagrangian can be expanded in the series of dimension five operators that have non-trivial transformation properties under the ordinary Lorentz invariance. Such operators cause the Lorentz-violating signatures at low energies, and in particular lead to the anomalous spin precession linked to the external direction. The experimental bounds on this phenomenon then restrict parameter κ to be above 1023 GeV, making it difficult to impose a direct connection between this theory and quantum gravity.