Singularity Variables for Missing Energy Event Kinematics

TL;DR

This paper introduces singularity variables tailored for analyzing missing energy events at the LHC, aiding both discovery and precise mass measurements in complex particle interactions.

Contribution

It presents a general method for deriving singularity variables for various event topologies involving missing energy, enhancing analysis techniques for new physics searches.

Findings

Provides a prescription for finding singularity variables in different topologies

Demonstrates how these variables delineate the visible parameter space

Offers a dual application for discovery and mass measurement

Abstract

We discuss singularity variables which are properly suited for analyzing the kinematics of events with missing transverse energy at the LHC. We consider six of the simplest event topologies encountered in studies of leptonic W-bosons and top quarks, as well as in SUSY-like searches for new physics with dark matter particles. In each case, we illustrate the general prescription for finding the relevant singularity variable, which in turn helps delineate the visible parameter subspace on which the singularities are located. Our results can be used in two different ways - first, as a guide for targeting the signal-rich regions of parameter space during the stage of discovery, and second, as a sensitive focus point method for measuring the particle mass spectrum after the initial discovery.