  We study the gauge dependence of the neutrino mass renormalization in a two
Higgs doublet model, that is extended with one singlet seesaw neutrino. This
model gives only one light neutrino a mass at tree level, while the second
light mass is generated at loop level via the interaction with the second Higgs
doublet. At one loop level, one neutrino stays massless. We use multiplicative
renormalization constants to define counterterms. The renormalized mass
parameters are defined as the complex poles of the propagators, using the
complex mass scheme for mass renormalization. With this setup, we analytically
get the expressions for the neutrino mass counterterms and isolate the gauge
dependent part. We show, how relating this gauge dependent part with the
tadpole renormalization leads to gauge independent counterterm definitions,
hence gauge independent bare masses for neutrinos.
