  We study the two-band Hubbard model in infinite dimensions by solving the
dynamical mean-field equations with a strong coupling continuous-time quantum
Monte Carlo method and show that an $s$-wave superconducting state can be
stabilized in the repulsively interacting case. We discuss how this
superconducting state competes with the metallic and paired Mott states. The
effects of the Hund coupling and crystalline electric field are also addressed.
