A Complete Solution Classification and Unified Algorithmic Treatment for the One- and Two-Step Asymmetric S-Transverse Mass (MT2) Event Scale Statistic

Abstract

The MT2 or "s-transverse mass" statistic was developed to associate a parent mass scale to a missing transverse energy signature, given that escaping particles are generally expected in pairs, while collider experiments are sensitive to just a single transverse momentum vector sum. This document focuses on the generalized extension of that statistic to asymmetric one- and two-step decay chains, with arbitrary child particle masses and upstream missing transverse momentum. It provides a unified theoretical formulation, complete solution classification, taxonomy of critical points, and technical algorithmic prescription for treatment of the MT2 event scale. An implementation of the described algorithm is available for download, and is also a deployable component of the author's selection cut software package AEACuS (Algorithmic Event Arbiter and Cut Selector). Appendices address combinatoric event assembly, algorithm validation, and a complete pseudocode.

As published in JHEP; appendices address combinatoric event assembly, algorithm validation, and a complete pseudocode; program revision included as ancillary file; 32 pages; 6 illustrated event case studies; 7 footnoted event case studies

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Cited by in corpus (6)

• Bisection-based asymmetric MT2 computation: a higher precision calculator than existing symmetric methods
• Neutralinos and Sleptons at the LHC in Light of Muon $(g-2{)}_{\mu }$
• OPTIMASS: A Package for the Minimization of Kinematic Mass Functions with Constraints
• Dreaming Awake: Disentangling the Underlying Physics in Case of a SUSY-like Discovery at the LHC
• $M_{TN}$ is all you need: production of multiple semi-invisible resonances at hadron colliders
• A faster, high precision algorithm for calculating symmetric and asymmetric $M_{T2}$