Renormalization of masses of sterile neutrinos in the [nu]MSM

TL;DR

This paper calculates the one-loop corrections to the mass differences of sterile neutrinos in the $ u$MSM, which are crucial for understanding lepton asymmetry generation at low energies.

Contribution

It provides the first detailed computation and numerical estimate of the one-loop mass corrections for sterile neutrinos in the $ u$MSM.

Findings

First order loop corrections to sterile neutrino mass differences are quantified.

Numerical estimates of these corrections are provided.

Results impact the understanding of lepton asymmetry production in the $ u$MSM.

Abstract

The quasi-degeneracy of heavier sterile neutrino masses in the Neutrino Minimal Standard Model ($\nu$MSM) facilitates the production of lepton asymmetry below the electroweak scale. The first order loop corrections to this mass-difference has been computed in this work along with a numerical estimate of the contribution.