Analytic solutions for neutrino momenta in decay of top quarks

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• 作者：Burton A. Betchart ; Regina Demina ; Amnon Harel
• 关键词：Top ; Neutrino ; Reconstruction ; Analytic
• 刊名：Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
• 出版年：1 February, 2014
• 年：2014
• 卷：736
• 期：Complete
• 页码：169-178
• 全文大小：1764 K

文摘

We employ a geometric approach to analytically solve equations of constraint on the decay of top quarks involving leptons. The neutrino momentum is found as a function of the 4-vectors of the associated bottom quark and charged lepton, the masses of the top quark and W boson, and a single parameter, which constrains it to an ellipse. We show how the measured imbalance of momenta in the event reduces the solutions for neutrino momenta to a discrete set, in the cases of one or two top quarks decaying to leptons. The algorithms can be implemented concisely with common linear algebra routines.