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We investigate the sensitivity to new physics of the process e+e- -> t bar{t}when the top polarization is analyzed using leptonic final states e+e- -> t\bar{t} -> l+l- b \bar{b} nu_l \bar{nu}_l. We first show that the kinematicalreconstruction of the complete kinematics is experimentally tractable for thisprocess. Then we apply the matrix element method to study the sensitivity tothe Vt\bar{t} coupling (V being a vector gauge boson), at the tree level and inthe narrow width approximation. Assuming the ILC baseline configuration,sqrt{S}=500 GeV, and a luminosity of 500 fb^{-1}, we conclude that this optimalanalysis allows to determine simultaneously the ten form factors thatparameterize the Vt\bar{t} coupling, below the percent level. We also discussthe effects of the next leading order (NLO) electroweak corrections using theGRACE program with polarized beams. It is found that the NLO corrections todifferent beam polarization lead to significantly different patterns ofcontributions.

Probing New Physics using top quark polarization in the e+e- -> t \bar{t} process at future Linear Colliders