Abstract

A new algorithm is presented to perform the full kinematic reconstruction of top quark pair events produced at future electron-positron colliders in the case of dilepton decays of the $W$ bosons to electrons or muons. The momentum components of the undetected neutrino and anti-neutrino in the event are reconstructed by employing several kinematic conditions comprising a non-linear system of six equations. This system is solved numerically using two independent methods and the selection of the best candidate real solution for each event is determined by a likelihood discriminant. Results are presented for several reconstructed kinematic properties of the $W^\pm$ bosons, top (and anti-top) quarks using generator level information produced at leading order.

Highlights

  • While the LHC is producing extremely precise measurements of top quark and Higgs boson properties, the planning for the high energy particle accelerator is already underway

  • The kinematic equations for the reconstruction at the LHC requiretop quark mass constraints, while the reconstruction at the electronpositron collider can be performed without imposing any condition on the kinematics of thetop quarks. Even though this reconstruction procedure is not recommended for events with additional objects, such as additional jets, it can be applied to more inclusive signal regions, provided that the energy of these additional jets is subtracted from the collision center-of-mass energy in Eq (2)

  • A correlation of about 95% is obtained for these kinematic variables, a significant improvement when compared with the results of Fig. 1

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Summary

Introduction

While the LHC is producing extremely precise measurements of top quark and Higgs boson properties, the planning for the high energy particle accelerator is already underway. Despite the fact that there is no decision yet to determine which accelerator will be built, or its location, there is a consensus in the scientific community that the results from the LHC will have to be complemented by an accelerator that can measure observables with greater precision by producing high energy collisions between electrons and positrons.

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