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The quasiparticle interference (QPI) patterns in BiS$_{2}$-basedsuperconductors are theoretically investigated by taking into account thespin-orbital coupling and assuming the recently proposed$d^{*}_{x^{2}-y^{2}}$-wave pairing symmetry. We found two distinct scatteringwave vectors whose evolution can be explained based on the evolution of theconstant-energy contours. The QPI spectra presented in this paper can thus becompared with future scanning tunneling microscopy experiments to test whetherthe pairing symmetry is $d^{*}_{x^{2}-y^{2}}$-wave in BiS$_{2}$-basedsuperconductors.

Testing the $d^{*}_{x^{2}-y^{2}}$-wave pairing symmetry by quasiparticle interference in BiS$_{2}$-based superconductors