TY - JOUR AU - Aguilar-Saavedra, J. A. AU - Bernabeu, J. PY - 2010 DA - 2010// TI - W polarisation beyond helicity fractions in top quark decays T2 - Nucl. Phys. B JO - Nuclear Physics B SP - 349 EP - 378 VL - 840 IS - 1-2 PB - Elsevier Science Bv AB - 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. SN - 0550-3213 UR - http://arxiv.org/abs/1005.5382 UR - https://doi.org/10.1016/j.nuclphysb.2010.07.012 DO - 10.1016/j.nuclphysb.2010.07.012 LA - English N1 - ISI:000281832900013 ID - Aguilar-Saavedra+Bernabeu2010 ER -