  We propose helical topological superconductivity away from the Fermi surface
in three-dimensional time-reversal-symmetric odd-parity multiband
superconductors. In these systems, pairing between electrons originating from
different bands is responsible for the corresponding topological phase
transition. Consequently, a pair of helical topological Dirac surface states
emerges at finite excitation energies. These helical Dirac surface states are
tunable in energy by chemical potential and strength of band-splitting. They
are protected by time-reversal symmetry combined with crystalline two-fold
rotation symmetry. We suggest concrete materials in which this phenomenon could
be observed.
