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For the new high-temperature superconductor La${}_{3}$Ni${}_{2}$O${}_{7}$ under high pressure, the authors analyze its pairing mechanism and pairing symmetry in a bilayer two-orbital Hubbard model. By combining functional renormalization group in weak-to-moderate interaction regime and Gutzwiller approximation for its low-energy effective model projected to atomic one- and two-electron states in the …