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Motivated by the nematic electronic fluid phase in Sr_{3}Ru_{2}O_{7}, wedevelop a combined scheme of the renormalization-group method and therandom-phase-approximation-type method, and analyze orbital susceptibilities ofthe (d_{xz},d_{yz})-orbital Hubbard model with high accuracy. It is confirmedthat the present model exhibits a ferro-orbital instability near the magneticor superconducting quantum criticality, due to the Aslamazov-Larkin-type vertexcorrections. This mechanism of orbital nematic order presents a naturalexplanation for the nematic order in Sr_{3}Ru_{2}O_{7}, and is expected to berealized in various multiorbital systems, such as Fe-based superconductors.

Orbital Nematic Instability in Two-Orbital Hubbard Model: Renormalization-Group + Constrained RPA Analysis