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Fig. E.1

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Influence of the mass-loss rate (m˙$\[\dot{m}\]$), temperature (T), and H/He ratio on the predicted depth and shape of the He triplet lines in the case of HAT-P-11 b. The upper panel corresponds to a solar (90/10) H/He ratio, while the lower panel corresponds to a H/He ratio of 98/2. The influence of m˙$\[\dot{m}\]$ and T, as detailed in Section 6.1, is clearly visible: for a given H/He ratio, increasing m˙$\[\dot{m}\]$ results in a deeper line while increasing the temperature decreases the depth and increases the broadening of the lines. For a fixed m˙$\[\dot{m}\]$ and T, using a H/He ratio of 98/2 (lower panel) instead of 90/10 (upper panel) results in a decrease of the line depth (note the change of scale on the y-axis).

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