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This white paper explores the detectability of intermediate-mass black holes(IMBHs) wandering in the Milky Way (MW) and massive local galaxies, with aparticular emphasis on the role of AXIS. IMBHs, ranging within $10^{3-6} \,M_\odot$, are commonly found at the centers of dwarf galaxies and may exist,yet undiscovered, in the MW. By using model spectra for advection-dominatedaccretion flows (ADAFs), we calculated the expected fluxes emitted by apopulation of wandering IMBHs with a mass of $10^5 \, M_\odot$ in various MWenvironments and extrapolated our results to massive local galaxies. Around$40\%$ of the potential population of wandering IMBHs in the MW can be detectedin an AXIS deep field. We proposed criteria to aid in selecting IMBH candidatesusing already available optical surveys. We also showed that IMBHs wandering in$>200$ galaxies within $10$ Mpc can be easily detected with AXIS when passingwithin dense galactic environments (e.g., molecular clouds and cold neutralmedium). In summary, we highlighted the potential X-ray detectability ofwandering IMBHs in local galaxies and provided insights for guiding futuresurveys. Detecting wandering IMBHs is crucial for understanding theirdemographics, evolution, and the merging history of galaxies.

Detecting Wandering Intermediate-Mass Black Holes with AXIS in the Milky Way and Local Massive Galaxies