We study the axial anomaly in Very Special Relativity Electrodynamics using various regularizations:
Pauli-Villars and dimensional regularization of ultraviolet divergences and
Mandelstam-Leibbrandt regularization of infrared divergences. We get the 2 and 4 dimensional anomaly.
We explicitly show that this procedure
preserves charge conservation. VSR corrections are absent from axial anomaly in 2 and 4 dimensions.
Moreover, the anomaly in the path integral approach is obtained.