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

TL;DR

This paper explores the low-energy effects of the kappa-Minkowski extension of the Standard Model, revealing Lorentz-violating signatures and setting bounds on the parameter ppa to be above 10^{23} GeV, thus challenging its connection to quantum gravity.

Contribution

It provides a phenomenological analysis of the kappa-Minkowski extension, deriving experimental bounds on the deformation parameter ppa from Lorentz-violating effects.

Findings

Bounds on ppa > 10^{23} GeV from experimental data

Identification of Lorentz-violating signatures in low-energy phenomena

Constraints challenge the link between the model and quantum gravity

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.