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We study non-perturbative quantum corrections to Extremal Black Holes due to an infinite tower of higher derivative corrections. We focus on corrections to the supersymmetric entropy of BPS black holes in 4d N=2 supergravity, which can be obtained from Type IIA string theory compactified on a Calabi–Yau threefold. Macroscopically, these corrections arise from an infinite series of higher-derivative F-terms. They result from integrating out the tower of light D0-branes in the large volume patch. We analyze the most general black hole configuration with D0–D2–D4–D6 charges and find that this setup can receive non-perturbative corrections. These non-perturbative corrections tame the entropy of the solutions makinig it well defined and finite also for black holes which probe the cut-off scale of the EFT. We argue that the non-perturbative corrections arise from virtual particle pair production. We characterize the quantum effects by providing a semi-classical description. We report on work in progress towards a precise evaluation of the Schwinger effect.