  We study the single-particle spectrum of three-dimensional Weyl semimetals
taking into account electron-phonon interactions that are the result of
straining the material. We find that a well-defined fermionic excitation
appears in addition to the standard peak corresponding to quasiparticle states
as suggested by Landau-Fermi liquid theory. Contrary to the case of Dirac
systems interacting via the Coulomb interaction, these satellite peaks appear
even at lowest order in perturbation theory. The new excitations are
anisotropic, as opposed to the single-particle spectrum, and their behavior is
dictated by the Debye frequency, which naturally regulates the electron-phonon
coupling.
