# Revisiting the LHC reach in the displaced region of the minimal left-right symmetric model

## TL;DR

This paper assesses the LHC's potential to detect long-lived sterile neutrinos in left-right symmetric models through displaced vertex searches, showing significant improvements over previous sensitivity estimates.

## Contribution

It provides updated discovery prospects for GeV-scale sterile neutrinos at the LHC, considering both on-shell and off-shell production mechanisms in left-right symmetric theories.

## Key findings

- LHC can probe neutrino masses up to ~30 GeV with 300/fb
- Sensitivity extends to 11.5 TeV for $W_R$ mass with 3000/fb
- Improves previous sensitivity estimates by a factor of 2

## Abstract

We revisit discovery prospects for a long-lived sterile neutrino $N$ at the Large Hadron Collider (LHC) in the context of left-right symmetric theories. We focus on a displaced vertex search strategy sensitive to $\mathcal{O}$(GeV) neutrino masses produced via a right-handed $W_{R}$ boson. Both on-shell and off-shell Drell-Yan production of $W_{R}$ are considered. We estimate the reach as a function of $m_{N}$ and $m_{W_{R}}$. With $\sqrt{s}=13$ TeV and 300/fb of integrated luminosity, the LHC can probe neutrino masses as high as $\sim 30$ GeV and $m_{W_{R}}$ around 6 TeV. The reach goes up to 11.5 TeV with 3000/fb and $m_{N}\sim 45$ GeV. This represents an improvement of a factor of 2 in sensitivity with respect to earlier work.