  We investigate quantum tunneling of two repulsive bosons in a triple-well
potential subject to a high-frequency driving field. By means of the
multiple-time-scale asymptotic analysis, we evidence a far-resonant
strongly-interacting regime in which the selected coherent destruction of
tunneling can occur between the paired states and unpaired states, and the
dominant tunneling of the paired states is a second order process. Two Floquet
quasienergy bands of the both kinds of states are given analytically, where a
fine structure up to the second order corrections is displayed. The analytical
results are confirmed numerically based on the exact model, and may be
particularly relevant to controlling correlated tunneling in experiments.
