  It is at the heart of modern condensed matter physics to investigate the role
of a topological structure in anomalous transport phenomena. In particular,
chiral anomaly turns out to be the underlying mechanism for the negative
longitudinal magnetoresistivity in a Weyl metal phase. Existence of a
dissipationless current channel causes enhancement of electric currents along
the direction of a pair of Weyl points or applied magnetic fields ($B$).
However, temperature ($T$) dependence of the negative longitudinal
magnetoresistivity has not been understood yet in the presence of disorder
scattering since it is not clear at all how to introduce effects of disorder
scattering into the "topological-in-origin" transport coefficient at finite
temperatures. The calculation based on the Kubo formula of the current-current
correlation function is simply not known for this anomalous transport
coefficient. Combining the renormalization group analysis with the Boltzmann
transport theory to encode the chiral anomaly, we reveal how disorder
scattering renormalizes the distance between a pair of Weyl points and such a
renormalization effect modifies the topological-in-origin transport coefficient
at finite temperatures. As a result, we find breakdown of $B/T$ scaling, given
by $B/T^{1 + \eta}$ with $0 < \eta < 1$. This breakdown may be regarded to be a
fingerprint of the interplay between disorder scattering and topological
structure in a Weyl metal phase.
