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

Abstract

We investigate the phenomenological consequences of kappa-Minkowski extension of the Standard Model, working in the linear order in inverse $\kappa$. 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 $\kappa$ to be above 10^{23} GeV, making it difficult to impose a direct connection between this theory and quantum gravity.

6 pages

References in corpus (6)

• Kappa-Minkowski space-time and the star product realizations
• Fock space, quantum fields and kappa-Poincaré symmetries
• Gauge theories on the kappa-Minkowski spacetime
• Classification of Dimension 5 Lorentz Violating Interactions in the Standard Model
• From noncommutative kappa-Minkowski to Minkowski space-time
• Symplectic geometry and Noether charges for Hopf algebra space-time symmetries

Cited by in corpus (3)

• Deformed Oscillator Algebras and QFT in $\kappa$-Minkowski Spacetime
• Newton's Equation on the kappa space-time and the Kepler problem
• Time-space noncommutativity and Casimir effect