  Recent studies suggest that the nonlinear transport properties in Weyl
semimetal may be a measurable consequence of its chiral anomaly. Nonlinear
responses in transport are estimated to be substantial, because in real
materials such as TaAs or Bi$_{1-x}$Sb$_x$, the Fermi level resides near the
Weyl nodes where the chiral charge pumping is said to diverge. However, this
work presents semiclassical Boltzmann analysis that indicates that the chiral
charge pumping is non-divergent even at the zero-temperature limit. We
demonstrate that the divergence in common semiclassical calculation scheme is
not a problem of the scheme itself, but occurs because a commonly-used
approximation of the change in particle number breaks down near the Weyl nodes.
Our result suggests the possibility that the nonlinear properties in WSMs can
be overestimated, and provides the validity condition for the conventional
approximation. We also show the distinct Fermi level dependencies of the chiral
magnetic effect and the negative longitudinal magnetoresistance, as a
consequence of non-diverging chiral charge pumping.
