1999
DOI: 10.1016/s0370-2693(99)00194-x
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Polarized top decay into polarized W t(↑)→W(↑)+b at O(αs)

Abstract: We consider the decay of a polarized top quark into a polarized W -boson plus a bottom quark, followed by the decay of the W -boson into a pair of leptons or quarks. The polar angle distribution of the top spin relative to the W -momentum and the polar angle distribution of the lepton (or quark) in the W -rest frame is governed by three polarized and three unpolarized rate functions which are related to the double density matrix elements of the decay t → W + + b. We obtain analytical expressions for the O(α s … Show more

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Cited by 61 publications
(100 citation statements)
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“…Note that both the production and decay density matrices are gauge invariant. The one-loop QCD corrections to the semileptonic decays of polarised top quarks and to t → W + b can be extracted from the results of [16] and [17,18], respectively. In the following we describe our computation of the density matrices for tt production by qq annihilation.…”
Section: Pacs Number(s)mentioning
confidence: 99%
“…Note that both the production and decay density matrices are gauge invariant. The one-loop QCD corrections to the semileptonic decays of polarised top quarks and to t → W + b can be extracted from the results of [16] and [17,18], respectively. In the following we describe our computation of the density matrices for tt production by qq annihilation.…”
Section: Pacs Number(s)mentioning
confidence: 99%
“…The results are taken from Ref. [3]. We divide out the total m b = 0 Born term rate and denote the scaled…”
Section: O(α S ) Radiative Correctionsmentioning
confidence: 99%
“…The two transverse helicity rates i = +, − are obtained from the i = U, F rates given in [3] by taking the linear combinations Γ ± = 1 2 (Γ U ± Γ F ) as discussed before. One haŝ…”
Section: O(α S ) Radiative Correctionsmentioning
confidence: 99%
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“…The fraction of longitudinally polarized W bosons is defined by [3], gives F 0 = 0.697 ± 0.007, where the given uncertainty is only due to the uncertainty in the top quark mass. Next-toleading-order corrections to the total decay width and the partial decay width into longitudinal W bosons amount to about -10% [10,11,12,13,14,15,16,17,18,19]. However, the fraction of longitudinal W bosons is only negligibly changed.…”
Section: Introductionmentioning
confidence: 98%