Bottom Quark Fragmentation in Top Quark Decay

Abstract

We study the fragmentation of the b quark in top decay in NLO QCD, within the framework of perturbative fragmentation, which allows one to resum large logarithms $\sim \log (m_t^2/m_b^2)$. We show the b-energy distribution, which we compare with the exact $\mathcal{O}({\alpha }_S)$ result for a massive b quark. We use data from $e^{+}{e}^{-}$ machines in order to describe the b-quark hadronization and make predictions for the energy spectrum of b-flavoured hadrons in top decay. We also investigate the effect of NLL soft-gluon resummation in the initial condition of the perturbative fragmentation function on parton- and hadron-level energy distributions.

25 pages, 9 figures

References in corpus (3)

• Study of the fragmentation of b quarks into B mesons at the Z peak
• Soft-Gluon Resummation for the Fragmentation of Light and Heavy Quarks at Large x
• First Measurement of the Ratio B(t-->Wb)/B(t-->Wq) and Associated Limit on the CKM Element Vtb

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