Fig. presents the VSC-modified reaction rate constant under the influence of the cavity lifetime τ c , with a fixed η c = 0.05. The τ c parameter determines the shape and intensity of the effective spectral density function J eff (ω). We consider the Markovian loss by setting γ c → ∞, which means that the effective spectral density J eff (ω) becomes the Brownian form in Eq. 14.