2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155686We construct an complex scalar field theory in $κ$-Minkowksi spacetime, which respects $κ$-deformed Poincaré symmetry. One-loop calculation shows that the theory is finite and needs finite renormalization to be compatible with the $κ\to \infty$ limit. The loop result also has an imaginary valued correction due to the complex poles present in the propagator.14 pages, 6 figuresHigh Energy Physics - Theorytext