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arXiv 0903.4371hep-phhep-ex
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利用运动学边界线测量能量缺失的类超对称事件中的粒子质量和消除歧义

Using kinematic boundary lines for particle mass measurements and disambiguation in SUSY-like events with missing energy

Michael Burns, Konstantin T. Matchev, Myeonghun Park

摘要:

我们重新审视了粒子质量测定的运动学终点方法,适用于流行的超对称衰变链squark -> neutralino -> slepton -> LSP。我们分析的唯一性的解决方案的质谱在可观测的不变质量分布的测量端点。我们提供了简单的分析反演公式的质量的测量端点。我们表明,在一个相当大的部分的超对称质量参数空间的解决方案总是遭受双重的模糊性,由于这样一个事实,即原来的质量和端点之间的关系是分段定义的功能。即使在完美检测器和无限统计的理想情况下,模糊性也会持续存在。我们划定了相应的危险区域的参数空间,并确定了“孪生”质谱集。为了解决这种模糊性,我们提出了一个推广的端点方法,从单变量分布到两个变量分布。特别是,我们研究分析的(m_{jl(lo)},m_{jl(hi)})和(m_{ll},m_{jll})分布的边界,并证明它们的形状是在原则上足以解决在质量测定的歧义。我们确定了几个额外的独立测量,可以从这些二元分布的边界线。我们的方法的纯运动学性质,使其普遍适用于任何模型,表现出超对称级联衰减。

英文摘要:

We revisit the method of kinematical endpoints for particle mass determination, applied to the popular SUSY decay chain squark -> neutralino -> slepton -> LSP. We analyze the uniqueness of the solutions for the mass spectrum in terms of the measured endpoints in the observable invariant mass distributions. We provide simple analytical inversion formulas for the masses in terms of the measured endpoints. We show that in a sizable portion of the SUSY mass parameter space the solutions always suffer from a two-fold ambiguity, due to the fact that the original relations between the masses and the endpoints are piecewise-defined functions. The ambiguity persists even in the ideal case of a perfect detector and infinite statistics. We delineate the corresponding dangerous regions of parameter space and identify the sets of "twin" mass spectra. In order to resolve the ambiguity, we propose a generalization of the endpoint method, from single-variable distributions to two-variable distributions. In particular, we study analytically the boundaries of the (m_{jl(lo)}, m_{jl(hi)}) and (m_{ll}, m_{jll}) distributions and prove that their shapes are in principle sufficient to resolve the ambiguity in the mass determination. We identify several additional independent measurements which can be obtained from the boundary lines of these bivariate distributions. The purely kinematical nature of our method makes it generally applicable to any model that exhibits a SUSY-like cascade decay.

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