| Abstract [eng] |
We study the gauge dependence of the renormalization of neutrino masses in the Grimus-Neufeld (GN) model. We apply the complex mass scheme (CMS) in order to get gauge invariant renormalized masses. Despite solving the problem of gauge dependence in the definitions of renormalized masses, the CMS does not ensure that both bare and renormalized masses are gauge invariant. We trace the roots of this problem back to the interplay between the renormalization of the Higgs vacuum expectation value (VEV) and the renormalization of mass. We then apply the Fleischer-Jegerlehner (FJ) scheme in addition to the CMS, to the renormalization of neutrino masses in the GN model. We show, that the FJ scheme defines gauge invariant bare and renormalized masses by exploiting the connection with the renormalization of the Higgs VEV. To explicitly check that our expressions are gauge invariant, we use the Mathematica packages SARAH, FeynArts and FormCalc. We thoroughly describe our set up, so that our results can be easily checked and reproduced. |
