Thursday, May 9, 2013

1305.1878 (Burton A. Betchart et al.)

Analytic solutions for neutrino momenta in decay of top quarks at hadron
colliders
   [PDF]

Burton A. Betchart, Regina Demina, Amnon Harel
We employ a geometric approach to analytically solving equations of constraint on the decay of top quarks involving leptons at hadron colliders. Neutrino momentum is found as a function of the 4-vectors of the associated $b$ quark and charged lepton, the masses of the top quark and $W$ boson, and a single parameter, which constrains it to an ellipse. The measured imbalance of transverse momenta in the event helps to reduce the solution for neutrino momenta to a discrete set for the cases of one or two top quarks decaying to leptons. The solutions can be implemented concisely with common linear algebra routines.
View original: http://arxiv.org/abs/1305.1878

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