Damghan University Press Iranian Journal of Astronomy and Astrophysics 2322-4924 10 4 2023 12 25 Thermodynamics of Horndeski Black Holes with Generalized Uncertainty Principle 303 319 384 10.22128/ijaa.2023.706.1152 EN Mohaddeseh Seifi 2 Department of Theoretical Physics, Faculty of Basic Sciences, University of Mazandaran, Babolsar Akram S. Sefiedgar 2 Department of Theoretical Physics, Faculty of Basic Sciences, University of Mazandaran, Journal Article 2023 08 12 Horndeski theory is the most general scalar-tensor extension of General Relativity with second order field equations. It may be interesting to study the effects of the Generalized Uncertainty Principle on a static and asymptotically flat shift symmetric solutions of the Horndeski black holes. With this motivation, here we obtain the modified black hole temperatures in shift symmetric Horndeski gravity by employing the Generalized Uncertainty Principle. Using the corrected temperature, the entropy and heat capacity are calculated with details. We also investigate the tunneling probability of particles from Horndeski black holes horizon and possible correlations between the emitted modes (particles). https://ijaa.du.ac.ir/article_384_225641e6b5b86e098befa2d2d595e659.pdf