Measurement of top quark polarization in $t\bar{t}$ lepton+jets final states

We present a study of top quark polarization in $t\bar{t}$ events produced in $p\bar{p}$ collisions at $\sqrt{s}=1.96$ TeV. Data correspond to 9.7 fb${}^{-1}$ collected with the D0 detector at the Tevatron. We use final states containing a lepton and at least three jets. The polarization is measured using the distribution of leptons along the beam and helicity axes, and the axis normal to the production plane. This is the first measurement of top quark polarization at the Tevatron in $\mathrm{\ell }$+jets final states, and first measurement of transverse polarization in $t\bar{t}$ production. The observed distributions are consistent with the standard model.