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arXiv 0908.3779hep-ph
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横向质量和运动学约束:从边界到折痕

Transverse masses and kinematic constraints: from the boundary to the crease

Alan J. Barr, Ben Gripaios, Christopher G. Lester

摘要:

本文根据Cheng和Han最近的工作,重新研究了运动学变量m_T2及其相关变量。他们证明m_T2有一个等价但隐含的定义,即“运动学上与事件假说一致的母质量和子质量区域的边界”,其结果具有深远的意义。我们把他们的结果推广到较简单的情况(m_T,横质量)和较复杂的情况(m_TGen)。我们进一步注意到,通过使用替代定义,可以将许多现有的和令人不快的证明(例如,与m_T2中的“扭结”和“折痕”结构的存在或性质有关的证明)重新转换为几乎平凡的形式。这不仅使我们能够更好地理解现有的结果,而且还使我们能够写下新的结果。(和或多或少明确的)定义(a)自然地将m_T2推广到父粒子或子粒子不相同的情况的变量,以及(b)m_T_1和m_T_2的逆--如果子质量已知并且需要母质量的界限,这可能是有用的。我们注意到这些结果可能对未来的矩阵元素似然技术的影响。

英文摘要:

We re-examine the kinematic variable m_T2 and its relatives in the light of recent work by Cheng and Han. Their proof that m_T2 admits an equivalent, but implicit, definition as the `boundary of the region of parent and daughter masses that is kinematically consistent with the event hypothesis' is far-reaching in its consequences. We generalize their result both to simpler cases (m_T, the transverse mass) and to more complex cases (m_TGen). We further note that it is possible to re-cast many existing and unpleasant proofs (e.g. those relating to the existence or properties of "kink" and "crease" structures in m_T2) into almost trivial forms by using the alternative definition. Not only does this allow us to gain better understanding of those existing results, but it also allows us to write down new (and more or less explicit) definitions of (a) the variable that naturally generalizes m_T2 to the case in which the parent or daughter particles are not identical, and (b) the inverses of m_T and m_T2 -- which may be useful if daughter masses are known and bounds on parent masses are required. We note the implications that these results may have for future matrix-element likelihood techniques.

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