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We identify the $T$-odd structure functions that appear in the description ofpolarized top quark decays in the sequential decay $t(\uparrow) \to X_b+W^+(\to\ell^+ + \nu_\ell)$ (two structure functions) and the quasi-three-body decay$t(\uparrow) \to X_b+ \ell^+ + \nu_\ell$ (one structure function). A convenientmeasure of the magnitude of the $T$-odd structure functions is the contributionof the imaginary part Im $g_R$ of the right-chiral tensor coupling $g_R$ to the$T$-odd structure functions which we work out. Contrary to the case of QCD theNLO electroweak corrections to polarized top quark decays admit of absorptiveone-loop vertex contributions. We analytically calculate the imaginary parts ofthe relevant four electroweak one-loop triangle vertex diagrams and determinetheir contributions to the $T$-odd helicity structure functions that appear inthe description of polarized top quark decays.

physical review. d/physical review. d.

$T$-odd correlations in polarized top quark decays in the sequential  decay $t(\uparrow) \to X_b+W^+(\to \ell^+ + \nu_\ell)$ and in the quasi  three-body decay $t(\uparrow) \to X_b+ \ell^+ + \nu_\ell$