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

TL;DR

This paper introduces a new algorithm for calculating the $M_{T2}$ variable with high precision and speed, significantly outperforming existing methods in stability and efficiency across various scenarios.

Contribution

The paper presents a novel algorithm for $M_{T2}$ calculation that achieves quadratic convergence, high precision, and up to ten times faster performance than previous methods.

Findings

Algorithm exhibits quadratic convergence and high stability.

Achieves up to tenfold speed increase over existing tools.

Validated through accuracy and speed comparisons.

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.