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We present the final results of our search for new Milky Way (MW) satellitesusing the data from the Hyper Suprime-Cam (HSC) Subaru Strategic Program (SSP)survey over $\sim 1,140$ deg$^2$. In addition to three candidates that wealready reported, we have identified two new MW satellite candidates in theconstellation of Sextans at a heliocentric distance of $D_{\odot} \simeq126$kpc, and Virgo at $D_{\odot} \simeq 151$kpc, named Sextans II and VirgoIII, respectively. Their luminosities (Sext II:$M_V\simeq-3.9$mag; VirIII:$M_V\simeq-2.7$mag) and half-light radii (Sext II:$r_h\simeq154$ pc; VirIII:$r_h\simeq 44$ pc) place them in the region of size-luminosity space ofultra-faint dwarf galaxies (UFDs). Including four previously known satellites,there are a total of nine satellites in the HSC-SSP footprint. This discoveryrate of UFDs is much higher than that predicted from the recent models for theexpected population of MW satellites in the framework of cold dark mattermodels, thereby suggesting that we encounter a too many satellites problem.Possible solutions to settle this tension are also discussed.

Final Results of Search for New Milky Way Satellites in the Hyper Suprime-Cam Subaru Strategic Program Survey: Discovery of Two More Candidates