  In this article, we consider a theoretical model for a type I Weyl semimetal,
under the presence of a diluted uniform concentration of torsional
dislocations. By a mathematical analysis for partial wave scattering
(phase-shift) for the T-matrix, we obtain the corresponding retarded and
advanced Green's functions that include the effects of multiple scattering
events with the ensemble of randomly distributed dislocations. Combining this
analysis with the Kubo formalism, and including vertex corrections, we
calculate the electronic conductivity as a function of temperature and
concentration of dislocations. We further evaluate our analytical formulas to
predict the electrical conductivity of several transition metal monopnictides,
i.e. TaAs, TaP, NbAs and NbP.
