A faster, high precision algorithm for calculating symmetric and asymmetric $M_{T2}$

Abstract

A new algorithm for calculating the stransverse mass, $M_{T2}$, in either symmetric or asymmetric situations has been developed which exhibits good stability, high precision and quadratic convergence for the majority of the $M_{T2}$ parameter space, leading to up to a factor of ten increase in speed compared to other $M_{T2}$ calculators of comparable precision. This document describes and validates the methodology used by the algorithm, and provides comparisons both in terms of accuracy and speed with other existing implementations.

19 pages, 10 figures. C++ implementation contained within the files submitted to the arXiv. v1: Original submission v2: Appendix B added providing example calculations to support accuracy claims, updated version of ancillary file algorithm

References in corpus (12)

• Gluino Stransverse Mass
• Measuring superparticle masses at hadron collider using the transverse mass kink
• Search for top squark pair production in final states with one isolated lepton, jets, and missing transverse momentum in $\sqrt{s}=$ 8 TeV pp collisions with the ATLAS detector
• Search for supersymmetry in hadronic final states using MT2 in pp collisions at sqrt(s) = 7 TeV
• M_T2-assisted on-shell reconstruction of missing momenta and its application to spin measurement at the LHC
• Search for direct slepton and gaugino production in final states with two leptons and missing transverse momentum with the ATLAS detector in pp collisions at sqrt(s) = 7 TeV
• Mass Determination of New States at Hadron Colliders
• The Precision Determination of Invisible-Particle Masses at the LHC
• Measuring the top quark mass with m_T2 at the LHC
• Precision Determination of Invisible-Particle Masses at the CERN LHC: II
• Properties of MT2 in the massless limit
• A Complete Solution Classification and Unified Algorithmic Treatment for the One- and Two-Step Asymmetric S-Transverse Mass (MT2) Event Scale Statistic