This paper is available on arxiv under CC 4.0 license. Authors: (1) Eleonora Alei, ETH Zurich, Institute for Particle Physics & Astrophysics & National Center of Competence in Research PlanetS; (2) Björn S. Konrad, ETH Zurich, Institute for Particle Physics & Astrophysics & National Center of Competence in Research PlanetS; (3) Daniel Angerhausen, ETH Zurich, Institute for Particle Physics & Astrophysics, National Center of Competence in Research PlanetS & Blue Marble Space Institute of Science; (4) John Lee Grenfell, Department of Extrasolar Planets and Atmospheres (EPA), Institute for Planetary Research (PF), German Aerospace Centre (DLR) (5) Paul Mollière, Max-Planck-Institut für Astronomie; (6) Sascha P. Quanz, ETH Zurich, Institute for Particle Physics & Astrophysics & National Center of Competence in Research PlanetS; (7) Sarah Rugheimer, Department of Physics, University of Oxford; (8) Fabian Wunderlich, Department of Extrasolar Planets and Atmospheres (EPA), Institute for Planetary Research (PF), German Aerospace Centre (DLR); (9) LIFE collaboration, www.life-space-mission.com. Table of Links Abstract & Introduction Methods Results Discussion Conclusions Next Steps & References Appendix A: Scattering of terrestrial exoplanets Appendix B: Corner Plots Appendix C: Bayes’ factor analysis: other epochs Appendix D: Cloudy scenarios: additional figures Appendix B: Corner Plots Corner plots for the retrieval runs at the reference R and S/N are shown in this section. We grouped both the cloudy and the clear sky retrievals for each epoch in the same figure, in order to compare the results. Namely: Figure B.1 shows the corner plots of the two Modern Earth scenarios (MOD-CF and MODC); Figure B.2 shows the NOE Earth scenarios (NOE-CF and NOE-C); the GOE Earth scenarios (GOE-CF and GOE-C) are in Figure B.3; finally, the prebiotic scenarios (PRE-CF and PRE-C) are shown in Figure B.4. The models are color-coded according to Table 1. Also, the results for the clear sky retrievals are shown using dashed contour lines, while the cloudy models are represented using solid lines. The table on the top right of each figure shows the expected values for each parameter, together with the estimates and the 1- σ uncertainty for the two scenarios. This paper is available on under CC 4.0 license. arxiv

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