Global analysis of fragmentation functions and their application to polarized top quark decays considering new {\it BABAR} and {\it Belle} experimental data

Abstract

Recently, the {\it Belle} and {\it BABAR} Collaborations published the single-inclusive electron-positron annihilation data at the center of mass energies ($\sqrt{s}$) of $10.52$ GeV and $10.54$ GeV, respectively. These new data offer one the possibility to determine the nonperturbative initial conditions of fragmentation functions much more accurately. In our previous work \cite{Soleymaninia:2013cxa}, we extracted the fragmentation functions for ${\pi }^{\pm }$ and $K^{\pm }$ particles at next-to-leading order (NLO) including these new data, for the first time. These new data are in the regions of larger scaled-energy $z$ and lower $\sqrt{s}$. Our main purpose is to show that adding these new data in our analysis how much improve the fragmentation functions of ${\pi }^{\pm }$ and $K^{\pm }$ at NLO. We hope this analysis can obvious the effects of these recent data on FFs for whom is studying the behavior of light meson FFs. We also apply, for the first time, the extracted fragmentation functions to make our predictions for the scaled-energy distributions of ${\pi }^{\pm }$ and $K^{\pm }$ inclusively produced in polarized top quark decays at NLO.

10 pages, 10 figures

References in corpus (9)

• Global analysis of fragmentation functions for pions and kaons and their uncertainties
• Determination of fragmentation functions and their uncertainties
• Charmed-Meson Fragmentation Functions with Finite-Mass Corrections
• Finite-Mass Effects on Inclusive B-Meson Hadroproduction
• Angular analysis of polarized top quark decay into B-mesons in two different helicity systems
• Hadron energy spectrum in polarized top quark decays considering the effects of hadron and bottom quark masses
• Fragmentation functions of $g\to {\eta }_c{(}^1{S}_0)$ and $g\to J/\psi {(}^3{S}_1)$ considering the role of heavy quarkonium spin
• Spin-dependent fragmentation functions of Gluon splitting into heavy quarkonia considering three different scenarios
• Gluon fragmentation into S-wave heavy quarkonium

Cited by in corpus (1)

• QCD analysis of light charged Higgs production through polarized top quark decay in two various frames