  A low-energy fixed-point Hamiltonian is constructed for the s-wave
odd-frequency pairing state with staggered ordering vector in the two-channel
Kondo lattice. The effective model is justified because it reproduces
low-energy behaviors of self energy obtained by the dynamical mean-field
theory. The retardation effect is essential for the odd-frequency pairing,
which comes from the hybridization process between conduction electrons and
pseudofermions originating from localized spins at low energies. Using the
effective Hamiltonian, the electromagnetic response functions are
microscopically calculated. The present system shows the "weak" Meissner
effect, where both paramagnetic and diamagnetic parts contribute to the
Meissner kernel to give a small total diamagnetic response in the
superconducting state. This feature is in contrast to the ordinary s-wave BCS
pairing where only the diamagnetic kernel is finite in the ground state. The
staggered nature of the odd-frequency order parameter plays an important role
for the sign of the Meissner kernel.
