Unravelling the left-right mixing using $0\nu \beta\beta$ decay and collider probes

TL;DR

This paper explores how neutrinoless double beta decay experiments and collider searches, including LHC and MATHUSLA, can jointly probe the properties of heavy Majorana neutrinos and left-right symmetry, revealing new detection strategies.

Contribution

It demonstrates the potential of long-lived particle searches at the LHC to extend the mass reach for right-handed W bosons beyond traditional methods within the minimal left-right symmetric model.

Findings

LLP searches can surpass traditional $W_R$ mass limits.

High-luminosity LHC searches are competitive with future $0 uetaeta$ decay experiments.

Long-lived neutrino signatures provide new avenues for probing left-right symmetry.

Abstract

In the context of the minimal left-right symmetric model, we study the interplay between current and future neutrinoless double beta ($0\nu\beta\beta$) decay experiments, long-lived particle searches at the LHC main detectors ATLAS/CMS, and the proposed far detector MATHUSLA. The heavy Majorana neutrino can be produced in association with an electron from the decay of $W$ boson for a non-zero left-right mixing and subsequently decays into another electron with the same charge and jets. Owing to the suppression of large right-handed charged gauge boson $W_R$ mass, the heavy neutrinos could be long-lived. We show that long-lived particle (LLP) searches for heavy Majorana neutrinos in the same-sign dilepton channel at the LHC can be used to extend $W_R$ boson mass reach relative to the reach of the Keung-Senjanovic (KS) process. Finally, we show that sensitivities of LLP searches at the high-luminosity LHC with main detectors ATLAS/CMS are competitive with those of future $0\nu\beta\beta$ decay searches.