  While quantum anomalies are often associated with the breaking of a classical
symmetry in the quantum theory, their anomalous contributions to observables
remain distinct and well-defined even when the symmetry is broken from the
outset. This paper explores such anomalous contributions to the current,
originating from the axial anomaly in a Weyl semimetal, and in the presence of
a generic Weyl node-mixing term. We find that apart from the familiar anomalous
divergence of the axial current proportional to a product of electric and
magnetic fields, there is another anomalous term proportional to a product of
the electric field and the orientation of a spin-dependent node-mixing vector.
We obtain this result both by a quantum field-theoretic analysis of an
effective Weyl action and solving an explicit lattice model. The extended
spin-mixing mass terms, and the enriched axial anomaly they entail, could arise
as mean-field or proximity-induced order parameters in spin-density-wave phases
in Weyl semimetals or be generated dynamically within a Floquet theory.
