Improving $t\bar{t}$ reconstruction in the dilepton channel at future lepton colliders

Abstract

A future lepton collider, such as the proposed CLIC or ILC, would allow to study top quark properties with unprecedented precision. In this paper, we present a method to reconstruct the $t\bar{t}$ decay in the dilepton channel at future $e^{+}{e}^{-}$ colliders. We derive a simple, closed analytical expression for the neutrino four-momenta as a function of the $W$ boson mass and develop a maximization procedure to find the optimal solution for the reconstruction of the full $t\bar{t}$ event. We show that our method is able to reconstruct neutrino four-momenta with an error of less than $2\%$ in $60\%$ of the times. Finally, we test the performance of this reconstruction method in the calculation of the helicity fractions of the $W$ boson. A precise measurement of these observables could be used to probe new physics effects in the $Wtb$ vertex. We find that, from a large $t\bar{t}$ sample, our reconstruction method allows to calculate these observables with an accuracy better than $1\%$.

17 pages, 5 figures, 3 tables

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