横向投影和质量约束变量指南
Guide to transverse projections and mass-constraining variables
摘要：
本文试图证明许多现有的强子对撞机质量测量变量（mT，mEff，mT2，缺失的pT，hT，rootsHatMin等）。它们之间的关系比人们普遍认识到的要密切得多，实际上，它们都可以被看作是一个专门用于各种目的的共同的质量约束。这样做的结果是，人们可以更好地了解每个变量的优点和缺点，以及每个变量可以发挥最佳效果的情况。为了实现这一点，我们发现有必要首先重新审视由下标“T”（如pT）填充的看似空洞和贫瘠的荒野，以提醒我们自己这个transversification过程实际上意味着什么。我们注意到，transversification远非简单，对不同的人来说可能意味着完全不同的事情。那些设法通过横向符号区分质量保持投影和速度保持投影以及“早期投影”和"晚期投影“的读者，将发现他们的努力在论文的结尾得到了回报：（i）更好地理解对撞机质量变量如何组合在一起，（ii）如何将这些变量推广到寻找比超对称更复杂的东西，（iii）将厌恶任何流行的计算机洛伦兹矢量库的所谓“横向”方法的轻率或天真的使用，和（iv）将在他们随后的论文中注意明确他们使用的是61种已确定的“横向质量”变体中的哪一种。
英文摘要：
This paper seeks to demonstrate that many of the existing mass-measurement variables proposed for hadron colliders (mT, mEff, mT2, missing pT, hT, rootsHatMin, etc.) are far more closely related to each other than is widely appreciated, and indeed can all be viewed as a common mass bound specialized for a variety of purposes. A consequence of this is that one may understand better the strengths and weaknesses of each variable, and the circumstances in which each can be used to best effect. In order to achieve this, we find it necessary first to revisit the seemingly empty and infertile wilderness populated by the subscript "T" (as in pT) in order to remind ourselves what this process of transversification actually means. We note that, far from being simple, transversification can mean quite different things to different people. Those readers who manage to battle through the barrage of transverse notation distinguishing mass-preserving projections from velocity preserving projections, and `early projection' from `late projection', will find their efforts rewarded towards the end of the paper with (i) a better understanding of how collider mass variables fit together, (ii) an appreciation of how these variables could be generalized to search for things more complicated than supersymmetry, (iii) will depart with an aversion to thoughtless or naive use of the so-called `transverse' methods of any of the popular computer Lorentz-vector libraries, and (iv) will take care in their subsequent papers to be explicit about which of the 61 identified variants of the `transverse mass' they are employing.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
