%0 Journal Article %T W polarisation beyond helicity fractions in top quark decays %A Aguilar-Saavedra, J. A. %A Bernabeu, J. %J Nuclear Physics B %D 2010 %V 840 %N 1-2 %I Elsevier Science Bv %@ 0550-3213 %G English %F Aguilar-Saavedra+Bernabeu2010 %O ISI:000281832900013 %O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=370), last updated on Thu, 01 Nov 2012 19:53:07 +0000 %X We calculate the density matrix for the decay of a polarised top quark into a polarised W boson and a massive 17 quark, for the most general Wth vertex arising from dimension-six gauge-invariant effective operators. We show that, in addition to the well-known W helicity fractions, for polarised top decays it is worth defining and studying the transverse and normal W polarisation fractions, that is, the W polarisation alone two directions orthogonal to its momentum. In particular, a rather simple forward-backward asymmetry in the normal direction is found to be very sensitive to complex phases in one of the Wth anomalous couplings. This asymmetry, which indicates a normal W polarisation, can be generated for example by a P-odd. T-odd transition electric dipole moment. We also investigate the angular distribution of decay products in the top quark rest frame, calculating the spin analysing powers for a general Wth vertex. Finally we show that, using a combined fit to top decay observables and the t W cross section, at LHC it will be possible to obtain model-independent measurements of all the (complex) Wth couplings as well as the single top polarisation. Implications for spin correlations in top pair production are also discussed. %R 10.1016/j.nuclphysb.2010.07.012 %U http://arxiv.org/abs/1005.5382 %U https://doi.org/10.1016/j.nuclphysb.2010.07.012 %P 349-378