A response to criticisms on “CMB constraints cast a shadow on CSL model”

Our recent letter “Cosmic Microwave Background Constraints Cast a Shadow On Continuous Spontaneous Localization Models” (Martin and Vennin Phys Rev Lett 124:080402, 2020, arXiv:1906.04405 ) has recently been criticised in Ref. (Bengochea et al. Eur Phys J C 80:1021, 2020a) (see also Ref. Bengochea et al. 2020b, arXiv:2006.05313 ). In this reply, we explain why the arguments presented in those articles are either incorrect or a confirmation of the robustness of our results.