A Perturbative Window into Asymptotic Safety

This talk tests asymptotic safety using perturbative methods that retain gauge invariance and allow Lorentzian calculations. Unlike mass-independent prescriptions, the proposed schemes preserve power-law sensitivity through modified dimensional regularization or gradient-flow techniques. Heavy-quark decoupling in QCD supplies a demonstration. Applying the approach to gravity yields a one-loop ultraviolet fixed point with indications of perturbative accessibility, which is compared with functional-renormalization-group evidence.