The lepton anomaly in the presence of torsion

In the presence of a curved space-time with torsion, the divergence of the leptonic current gets new contributions from the curvature and the torsion in addition to those coming from the electroweak fields. However it is possible to define a new lepton current which is gauge and local Lorentz invariant whose divergence gets no contribution from the torsion. Therefore we argue that torsion does not contribute to anomalous lepton number production