Long-lived heavy neutral leptons at lepton colliders as a probe of left-right symmetric models

Abstract

Left-right symmetric models (LRSM) were proposed to reconcile the apparent parity violation in weak interactions with our intrinsic notion of fundamental parity symmetry. It was quickly realized that LRSM offers a viable framework for explaining neutrino masses by incorporating right-handed neutrinos, $N$, into its spectrum. In this study, we investigate for the first time the potential of future lepton colliders (including the FCC-ee, CEPC, ILC, CLIC, and a muon collider) to detect signals stemming from $N$'s, focusing primarily on displaced vertex signals, and on prompt signals to a lesser degree. Our results demonstrate that these signals can effectively probe the characteristic scales of LRSM, providing evidence that would be unobtainable through any other experimental means.

arXiv comment16 pages, 13 figures, matching PRD version. Properly considered decay volume depending on final leptons, added appendix on different mixing scenarios. Conclusions unchanged

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