The corresponding β β -functions, describing the evolution of the dimensionless Newton constant g k = k d − − 2 G k and the dimensionless cosmological constant λ λ k = k − − 2 Λ Λ k , have been derived for the first time in reference for any value of the spacetime dimensionality, including the cases of d below and above 4 dimensions. In particular, in d = 4 dimensions they give rise to the RG flow diagram shown on the left-hand side. The most important result is the existence of a non-Gaussian fixed point suitable for asymptotic safety. It is UV-attractive both in g - and in λ λ -direction.