Distinguishing Dirac and Majorana Heavy Neutrinos at Lepton Colliders

TL;DR

This paper explores how future lepton colliders can detect lepton number violation through displaced vertex signatures of heavy neutral leptons, providing analytic estimates for event rates and sensitivity.

Contribution

It introduces new methods to identify lepton number violation signatures and compares Dirac and Majorana heavy neutrino phenomenology at lepton colliders.

Findings

LNV signatures include decay product spectra and HNL lifetime.

Analytic estimates of event numbers and sensitivities are provided.

Distinction between Dirac and Majorana HNLs is complex but benchmarked.

Abstract

We discuss the potential to observe lepton number violation (LNV) in displaced vertex searches for heavy neutral leptons (HNLs) at future lepton colliders. Even though a direct detection of LNV is impossible for the dominant production channel because lepton number is carried away by an unobservable neutrino, there are several signatures of LNV that can be searched for. They include the angular distribution and spectrum of decay products as well as the HNL lifetime. We comment on the perspectives to observe LNV in realistic neutrino mass models and argue that the dichotomy of Dirac vs Majorana HNLs is in general not sufficient to effectively capture their phenomenology, but these extreme cases nevertheless represent well-defined benchmarks for experimental searches. Finally, we present accurate analytic estimates for the number of events and sensitivity regions during the $Z$-pole run for both Majorana and Dirac HNLs.