  Taking into account an inner structure of the arms of the Aharonov-Bohm ring
(AB ring) we have analyzed the transport features related to the topological
phase transition which is induced in a superconducting wire (SC wire) with
strong spin-orbit interaction (SOI). The SC wire acts as a bridge connecting
the arms. The in-plane magnetic-field dependence of linear-response conductance
obtained using the nonequilibrium Green's functions in the tight-binding
approximation revealed the Breit-Wigner and Fano resonances (FRs) if the wire
is in the nontrivial phase. The effect is explained by the presence of two
interacting transport channels in the system. As a result, the FRs are
attributed to bound states in continuum (BSCs). The BSC lifetime is determined
by both hopping parameters between subsystems and the SC-wire properties. It is
established that the FR width and position are extremely sensitive to the type
of the lowest-energy excitation in the SC wire, the Majorana or Andreev bound
state (MBS or ABS, respectively). Moreover, it is shown that in the specific
case of the AB ring, the T-shape geometry, the FR disappears for the transport
via the MBS and the conductance is equal to one quantum. It doubles in the
local transport regime. On the contrary, in the ABS case the local conductance
vanishes. The influence of the mean-field Coulomb interactions and diagonal
disorder in the SC wire on the FR is investigated.
