We report theoretical values for the unscreened plasma frequencies Ω p of several Fe pnictides obtained from density functional theory (DFT) based calculations within the local density approximation (LDA) and compare them with experimental plasma frequencies obtained from reflectivity measurements on both polycrystalline samples and single crystals. The sizable renormalization observed for all considered compounds points to the presence of significant many-body effects beyond the LDA. From the large values of the empirical background dielectric constant ε ∞ ≈ 12-15 derived from reflectivity data, we estimate a large arsenic polarizabilityα As ≈ 9.5 ± 1.2Å 3 where the details depend on the polarizabilities of the remaining ions taken from the literature. This large polarizability can significantly reduce the value of the Coulomb repulsion U d ∼4 eV on iron known from iron oxides to a level of 2 eV or below. In general, independently on such details, this result points to rather strong polaronic effects as suggested by G.A. Sawatzky et al., in references arXiv:0808.1390 [11] and arXiv:0811.0214 [12]. Possible consequences for the conditions of a formation of bipolarons are discussed, too. From the extrapolated µSR (muon spin rotation) penetration depth data at very low-temperature and the experimental value of the unscreened plasma frequency we estimate the total coupling constant λ tot for the electron-boson interaction within the framework of the Eliashberg-theory adopting an effective single band approximation. For LaFeAsO 0.9 F 0.1 a weak to intermediately strong coupling regime and a quasi-clean limit behaviour are found. For a pronounced multiband case we obtain a constraint for various intraband coupling constants which in principle allows for a sizable strong coupling in bands with either slow electrons or holes.