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Deploying \textit{multiple sharp transitions} (MSTs) under a unifiedframework, we investigate the formation of Primordial Black Holes (PBHs) andthe production of Scalar Induced Gravitational Waves (SIGWs) by incorporatingone-loop corrected renormalized-resummed scalar power spectrum. With effectivesound speed parameter, $1 \leq c_s \leq 1.17$, the direct consequence is thegeneration of PBH masses spanning $M_{\rm PBH}\sim{\cal O}(10^{-31}M_{\odot}-10^{4}M_{\odot})$, thus evading well known \textit{No-go theorem} on PBH mass.Our results align coherently with the extensive NANOGrav 15-year data and thesensitivities outlined by other terrestrial and space-based experiments (e.g.:LISA, HLVK, BBO, HLV(O3), etc.).

Evading no-go for PBH formation and production of SIGWs using Multiple Sharp Transitions in EFT of single field inflation