Hadron energy spectrum in polarized top quark decays considering the effects of hadron and bottom quark masses

Abstract

We present the analytical expressions for the next-to-leading order corrections to the partial decay width $t(\uparrow )\to b{W}^{+}$, followed by $b\to H_{b}X$, for nonzero b-quark mass ($m_b\ne 0$) in the fixed-flavor-number scheme (FFNs). To make the predictions for the energy distribution of outgoing hadrons $H_b$, as a function of the normalized $H_b$-energy fraction $x_H$, we apply the general-mass variable-flavor-number scheme (GM-VFNs) in a specific helicity coordinate system where the polarization of top quark is evaluated relative to the b-quark momentum. We also study the effects of gluon fragmentation and finite hadron mass on the hadron energy spectrum so that hadron masses are responsible for the low-$x_H$ threshold. In order to describe both the b-quark and the gluon hadronizations in top decays we apply realistic and nonperturbative fragmentation functions extracted through a global fit to $e^{+}{e}^{-}$ annihilation data from CERN LEP1 and SLAC SLC by relying on their universality and scaling violations.

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Cited by in corpus (14)

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• Heavy quark fragmentation functions at next-to-leading perturbative QCD
• Ground state heavy tetraquark production in heavy quark fragmentation
• NNLO B-fragmentation fits and their application to $t\bar{t}$ production and decay at the LHC
• ${\Lambda }_c^{+}$ fragmentation functions from pQCD approach and the Suzuki model
• Interference effects for the top quark decays $t\to b+W^{+}/H^{+}(\to {\tau }^{+}{\nu }_{\tau })$
• Global analysis of fragmentation functions and their application to polarized top quark decays considering new {\it BABAR} and {\it Belle} experimental data
• QCD analysis of light charged Higgs production through polarized top quark decay in two various frames
• Charged Higgs production from polarized top-quark decay in the 2HDM considering the general-mass variable-flavor-number scheme
• Systematic study of fully heavy-flavored tetraquarks $Q_1{Q}_2{\bar{Q}}_1{\bar{Q}}_2(Q_{1;2}\in \left\{b;c\right\})$: Mass spectra, threshold analysis, and confrontation with LHC data
• Hadron production through Higgs decay at next-to-leading order in the general-mass variable-flavor-number scheme
• Improved determination of strange distribution function from the global analysis using BHPS model