Can SUSY relax LNV constraints coming from loop corrections to light neutrino masses on the low-scale Seesaw?

TL;DR

This paper investigates whether supersymmetry can mitigate loop-induced constraints on lepton number violation in low-scale Seesaw models, finding that SUSY can help but requires fine-tuning.

Contribution

It provides a detailed analysis of SUSY's potential to relax LNV constraints in low-scale Seesaw models and identifies conditions for maximizing the screening effect.

Findings

SUSY can partially relax LNV constraints

Maximizing SUSY screening requires specific conditions

Fine-tuning is often necessary for effective screening

Abstract

Heavy neutrinos from the Type-I Seesaw model can have a large mixing with active states, motivating their search at collider experiments. However, loop corrections to light neutrino masses constrain the heavy neutrinos to appear in pseudo-Dirac pairs, leading to a potential suppression of lepton number violating parameters. In this work we perform a detailed review of a proposal to relax constraints on lepton number violation by adding supersymmetry. We define the conditions necessary to maximise the SUSY screening effect, with the objective of allowing a larger mass splitting between low-scale heavy neutrino masses. We find that the sole addition of SUSY does not guarantee a screening, and that favourable cases have some degree of fine-tuning.