where 𝜏 c is the cavity lifetime. Detailed derivation is provided in Supplementary Material, Sec. IV. The rate constant change 𝑘 VSC in Eq. 11 originates from a purely cavity-induced effect, which promotes the transition from |𝐺⟩ to the singly excited states manifold {|𝜈 𝑗 ⟩}. Note that the light-matter coupling term in Eq. 12 suggests that through the collective coupling between all molecules and the cavity modes, the cavity operators Fk will mediate the transition. We use FGR to estimate this transition rate constant. The coupling for this quantum transition is provided by Ŝ, and the transition is mediated by the effective photon bath operators Fk with their spectral densities 𝐽 eff (𝜔 k , 𝜔) in Eq. 13. Using FGR to estimate the transition with the frequency 𝜔 = 𝜔 0 (the |𝐺⟩ 𝑘1 --→ {|𝜈 ′𝑗 L ⟩} transition), and assumed that the pathways are completely independent (i.e., no interference between pathways), we have the following expression for the overall reaction rate constant,