Radiative Neutrino Masses in the $\nu_R$MSSM

TL;DR

This paper analyzes how radiatively generated neutrino masses can naturally arise in the $ u_R$MSSM, highlighting the role of supersymmetry's non-renormalization theorem and a SUSY-screening effect that explains the small neutrino masses.

Contribution

It provides a comprehensive analysis of neutrino mass generation in the $ u_R$MSSM, emphasizing the impact of SUSY non-renormalization and screening effects on neutrino mass smallness.

Findings

Small neutrino masses can result from SUSY-screening effects.

The non-renormalization theorem influences loop-induced neutrino masses.

Phenomenological and cosmological implications of the screening are discussed.

Abstract

We present a complete analysis of scenarios with radiatively generated neutrino masses that may occur in the Minimal Supersymmetric Standard Model with low-scale right-handed neutrinos. For brevity, we call such a model the $\nu_R$MSSM. We pay particular attention to the impact of the non-renormalization theorem of supersymmetry (SUSY) on the loop-induced neutrino masses, by performing our computations in the weak and flavour bases. In particular, we find that the smallness of the observed light neutrino masses may naturally arise due to a soft SUSY-screening effect from a nearly supersymmetric singlet neutrino sector. The profound phenomenological and cosmological implications that may originate from this screening phenomenon in the $\nu_R$MSSM and its minimal extensions are discussed.