Abstract: We report measurements of the polarization of W bosons from top-quark decays using 2.7 fb?1 of p¯p collisions collected by the CDF II detector. Assuming a top-quark mass of 175??GeV/c2, three measurements are performed. A simultaneous measurement of the fraction of longitudinal (f0) and right-handed (f+) W bosons yields the model-independent results f0=0.88±0.11(stat)±0.06(syst) and f+=?0.15±0.07(stat)±0.06(syst) with a correlation coefficient of ?0.59. A measurement of f0 [f+] constraining f+ [f0] to its standard model value of 0.0 [0.7] yields f0=0.70±0.07(stat)±0.04(syst) [f+=?0.01±0.02(stat)±0.05(syst)]. All these results are consistent with standard model expectations. We achieve the single most precise measurements of f0 for both the model-independent and model-dependent determinations.

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