期刊
COMPUTER PHYSICS COMMUNICATIONS
卷 264, 期 -, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.cpc.2021.107967
关键词
Collider physics; Kinematic variable; Constrained optimization; Sequential quadratic programming
资金
- IBS, Republic of Korea [IBSR018D1]
The calculation of M-2 variables involves solving a constrained minimization problem in mathematical optimization using numerical algorithms. The sequential quadratic programming method is found to perform very well for this task, even outperforming the existing software package implementation.
The M-2 variables are devised to extend M-T2 by promoting transverse masses to Lorentz-invariant ones and making explicit use of on-shell mass relations. Unlike simple kinematic variables such as the invariant mass of visible particles, where the variable definitions directly provide how to calculate them, the calculation of the M-2 variables is undertaken by employing numerical algorithms. Essentially, the calculation of M-2 corresponds to solving a constrained minimization problem in mathematical optimization, and various numerical methods exist for the task. We find that the sequential quadratic programming method performs very well for the calculation of M-2, and its numerical performance is even better than the method implemented in the existing software package for M-2. As a consequence of our study, we have developed and released yet another software library, YAM2, for calculating the M-2 variables using several numerical algorithms.
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