  The hidden order (HO) in URu2Si2 has been determined as a high rank multipole
formed by itinerant 5f-electrons with distinct orbital structure imposed by the
crystalline electric field. Because this can lead to a considerable number of
different multipoles it is of great importance to use microscopic techniques
that are sensitive to their subtle physical differences. Here we investigate
whether quasiparticle interference (QPI) method can distinguish between the two
most frequently proposed HO parameter models: the even rank-4 hexadecapole and
the odd-rank-5 dotriacontapole model. We obtain the quasiparticle dispersion
and reconstructed Fermi surface in each HO phase adapting an effective
two-orbital model of 5f bands that reproduces the main Fermi surface sheets of
the para phase. We show that the resulting QPI spectrum reflects directly the
effect of fourfold symmetry breaking in the rank-5 model which is absent in the
rank-4 model. Therefore we suggest that QPI method should give a possibility of
direct discrimination between the two most investigated models of HO in
URu2Si2. Furthermore the signature of proposed chiral d-wave superconducting
(SC) order parameter in QPI of the coexisting HO+SC phase is investigated.
