where C = 4ω 0 τ c . Both our numerical results and analytic analysis suggest that the VSC-enhanced reaction rate constant scales with (Ω R /2ω c ) 2 for a relatively small light-matter coupling strength (when Ω R k B T ). Although there are not many results available in the literature to confirm this trend, existing data points (such as Fig. of Ref. 4) do that clearly deviate from a linear fit of Ω R /2ω c . However, it is difficult to conclude whether these four experimental data points confirm a (Ω R /2ω c ) 2 scaling. Further experimental investigations on these existing reactions 4 will be needed to test the scaling relation between k/k 0 and Ω R to confirm or disprove the current theoretical prediction in Eq. 48.