  Weyl semimetals display a novel topological phase of matter where the Weyl
nodes emerge in pairs of opposite chirality and can be seen as either a source
or a sink of Berry curvature. The exotic effects in Weyl semimetals, such as
surface Fermi arcs and the chiral anomaly, make them a new playground for
exploring novel functionalities. Further exploiting their potential
applications requires clear understanding of their topological electronic
properties, such as Weyl points and Fermi arcs. Here we report a Fourier
transform scanning tunneling spectroscopy (FT-STS) study on a type-II Weyl
semimetal candidate MoTe$_2$ whose Weyl points are predicated to be located
above Fermi level. Although its electronic structure below the Fermi level have
been identified by angle resolved photo emission spectroscopy (ARPES), by
comparing our experimental data with first-principles calculations, we are able
to identify the origins of the multiple scattering channels at energies both
below and above Fermi level. Our calculations also show the existence of both
trivial and topological arc like states above the Fermi energy. In the FT-STS
experiments, we have observed strong signals from intra-arc scatterings as well
as from the scattering between the arc-like surface states and the projected
bulk states. A detailed comparison between our experimental observations and
calculated results reveals the trivial and non-trivial scattering channels are
difficult to distinguish in this compound. Interestingly, we find that the
broken inversion symmetry changes the terminating states on the two
inequivalent surfaces, which in turn changes the relative strength of the
scattering channels observed in the FT-STS images on the two surfaces.
