Abstract
We consider gauged U(1) extensions of the standard model of particle physics with three right-handed sterile neutrinos and a singlet scalar. The neutrinos obtain mass via the type I seesaw mechanism. We compute the one loop corrections to the elements of the tree level mass matrix of the light neutrinos and show explicitly the cancellation of the gauge dependent terms. We present a general formula for the gauge independent, finite one-loop corrections for arbitrary number new U(1) groups, new complex scalars and sterile neutrinos. We estimate the size of the corrections relative to the tree level mass matrix in a particular extension, the super-weak model.
Highlights
The standard model (SM) of particle interactions is one of the most successful physics models with unprecedented precision for predicting physical quantities, for instance, for the anomalous magnetic moment of the electron
The field content of the model consists of a new complex scalar field and three right-handed neutrinos—sterile under the standard model interactions—in addition to the fields in the standard model and the new gauge field
The neutrino masses are generated by Dirac- and Majorana-type Yukawa terms, which after spontaneous symmetry breaking of both scalar fields give rise to neutrino masses in the way of the type I seesaw mass generation
Summary
The standard model (SM) of particle interactions is one of the most successful physics models with unprecedented precision for predicting physical quantities, for instance, for the anomalous magnetic moment of the electron It does not contain right-handed neutrinos as they are sterile under the SM gauge group. The lightness of active neutrinos requires that the loop corrections to the mass matrix of those particles must be small in order to have a phenomenologically viable model. In the cases of gauged U(1) models, we are not aware of a computation of the one-loop corrections to the active neutrino mass matrix. We consider gauged U(1) extensions of the SM and derive a general formula for the one-loop corrections of the mass matrix of the active neutrinos. We stick to the SARAH conventions throughout this work [37]
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