Radiative neutrino masses in the νRMSSM

Pablo Candia Da Silva,Apostolos Pilaftsis

doi:10.1103/physrevd.102.095013

Pablo Candia Da Silva, Apostolos Pilaftsis

Open Access

https://doi.org/10.1103/physrevd.102.095013

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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.

Highlights

Supersymmetry (SUSY) [1,2] is an elegant theoretical framework which aspires to technically address several problems that are central in particle physics and cosmology, such as the infamous gauge-hierarchy problem, the unification of gauge couplings and the nature of the dark matter (DM) in the Universe [3]
In this paper we show that a similar soft SUSY-screening phenomenon may be the origin of the smallness of the observed light neutrino masses [15,16,17] in theories, in which light neutrino masses are forbidden at the tree level
We will perform a numerical analysis for a few representative scenarios that give rise to radiative neutrino masses in the νRMSSM

Summary

INTRODUCTION

In this paper we show that a similar soft SUSY-screening phenomenon may be the origin of the smallness of the observed light neutrino masses [15,16,17] in theories, in which light neutrino masses are forbidden at the tree level To explicitly demonstrate this screening phenomenon, we study typical scenarios that may occur in the MSSM with a number nR of electroweak- or TeV-scale right-handed (singlet) neutrinos νiR (with i 1⁄4 1; 2; ...; nR). We check the vanishing of the neutrino masses in the exact SUSY limit, independently of whether LNV mass parameters are present in the superpotential or not In this way, we can identify the regions of parameter space for soft SUSY screening. All technical details pertinent to the νRMSSM and our calculations are given in Appendices A–C

THE νR MINIMAL SUPERSYMMETRIC STANDARD MODEL

RADIATIVE NEUTRINO MASSES

NUMERICAL RESULTS

DISCUSSION