M. Fischer, S. Groote, J. G. Körner, M. C. Mauser
Published 2001-01-29, updated 2001-10-10Version 3
We calculate the O(alpha_s) radiative corrections to the three spin independent and five spin dependent structure functions that describe the angular decay distribution in the decay of a polarized top quark into a W-boson (followed by the decay W^{+} -> l^{+} + nu_l or by W^{+} -> anti-q + q and a bottom quark. The angular decay distribution is described in cascade fashion, i.e. the decay t(uparrow) -> W^{+} + X_b is analyzed in the top rest system while the subsequent decay W^{+} -> l^{+} + nu_l (or W^{+} -> anti-q + q) is analyzed in the W rest frame. We present our results for the eight O(alpha_s) integrated structure functions in analytical form keeping the mass of the bottom quark finite. In the limit m_b -> 0 the structure function expressions reduce to rather compact forms.
Comments: 61 pages, 11 postscript figures added, typos corrected, revisions and extensions, figures added
Journal: Phys.Rev.D65:054036,2002
The spin dependent structure functions of the nucleon
The sum rules for the spin dependent structure functions $g_1$ in the isovector reaction
Complete angular analysis of the decay cascade $B \rightarrow D^{**}( \rightarrow D^*(\rightarrow D π) + π) + W(\rightarrow l ν)$
