Exact two-scale-factor universality hypothesis at Randers–Finsler spacetimes

In this paper, we probe the two-scale-factor universality hypothesis for O([Formula: see text]) [Formula: see text] massless scalar field theories at Randers–Finsler spacetimes. For that, we compute analytically the one-loop radiative corrections to the amplitude ratios of the theory in exact form in the parameter characterizing the Randers–Finsler space-times. We apply two distinct and independent field-theoretic renormalization group methods and [Formula: see text]-expansion techniques. The amplitude ratios results are identical when obtained though the two distinct methods. We furnish the physical interpretation of the results.