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We present a measurement of the coefficient alpha_2 of the leptonicpolar-angle distribution from W boson decays, as a function of the W transversemomentum. The measurement uses an 80+/-4 pb^{-1} sample of proton-antiprotoncollisions at sqrt{s}=1.8 TeV collected by the CDF detector and includes datafrom both the W->e+nu and W->mu+nu decay channels. We fit the W bosontransverse mass distribution to a set of templates from a Monte Carlo eventgenerator and detector simulation in several ranges of the W transversemomentum. The measurement agrees with the Standard Model expectation, wherebythe ratio of longitudinally to transversely polarized W bosons, in theCollins-Soper W rest frame, increases with the W transverse momentum at a rateof approximately 15% per 10 GeV/c.Comment: 47 pages, 16 figures, submitted to Physical Review

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

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