# Extending the LHC Reach for New Physics with Sub-Millimeter Displaced Vertices

## TL;DR

This paper proposes a method to improve LHC searches for particles with sub-millimeter decay lengths by utilizing displaced vertex reconstruction, significantly extending the detection reach and enabling lifetime measurements.

## Contribution

It introduces a technique to reconstruct sub-millimeter displaced vertices using existing primary vertex methods, enhancing LHC sensitivity to metastable particles with decay lengths over 100 micrometers.

## Key findings

- Displaced vertex cuts extend LHC reach for short-lived particles.
- Reconstruction method allows lifetime measurement of metastable particles.
- Significant improvement over standard prompt-decay search strategies.

## Abstract

Particles with a sub-millimeter decay length appear in many models of physics beyond the Standard Model. However, their longevity has been often ignored in their LHC searches and they have been regarded as promptly-decaying particles. In this letter, we show that, by requiring displaced vertices on top of the event selection criteria used in the ordinary search strategies for promptly-decaying particles, we can considerably extend the LHC reach for particles with a decay length of $\gtrsim 100~\mu{\rm m}$. We discuss a way of reconstructing sub-millimeter displaced vertices by exploiting the same technique used for the primary vertex reconstruction on the assumption that the metastable particles are always pair-produced and their decay products contain high-$p_{\rm T}$ jets. We show that, by applying a cut based on displaced vertices on top of standard kinematical cuts for the search of new particles, the LHC reach can be significantly extended if the decay length is $\gtrsim 100~\mu{\rm m}$. In addition, we may measure the lifetime of the target particle through the reconstruction of displaced vertices, which plays an important role in understanding the new physics behind the metastable particles.