$\kappa$-Minkowski spacetime and a modification of the particle statistics [@kappaSt],[@gghmm08],[@Gupta:2011uz]. $\kappa$-deformed Poincaré symmetry is algebraically described by the $\kappa$-Poincaré Hopf algebra and is an example of deformed relativistic symmetry that can possibly describe physical reality at the Planck scale. The deformation parameter $\kappa$ is usually interpreted as the Planck mass or the quantum gravity scale.

The deformation of the symmetry group can be realized through the application of the Drinfeld twist on that group [@Chaichian:2004za]. It is argued that for the twisted (deformed) Poincaré symmetry to be retained in a quantum theory, it is necessary to implement twisted statistics [@Balachandran:2006pi],[@gghmm08], with the form of the interaction also being dictated by the quantum symmetry. The virtue of the twist formulation is that the deformed (twisted) symmetry algebra is the same as the original undeformed one and only the coalgebra structure changes, leading to the same free field structure as the corresponding commutative field theory.

In QFT one deals with the asymptotic (in and out ) scattering states that are quantum states of the free theory. Under the action of the Poincaré symmetry algebra, one particle asymptotic states transform according to the irreducible representation of the Poincaré algebra $\mathfrak{iso}(1,3)$. To extend the 