Using the FGR theory in Eq. 41, we can try to understand the basic scaling relation of the VSC-modified rate constant with respect to the cavity lifetime τ c near the lossy limit, for τ c ∈ [0, 200] fs. Under the resonance condition ω c = ω 0 and the Markovian limit (Eq. 14), the J eff (ω 0 ) term becomes