Next-to-leading order QCD corrections to $Z\to {\eta }_Q+Q+\bar{Q}$

Abstract

It has been found that at a high luminosity $e^{+}{e}^{-}$ collider, sizable ${\eta }_c+c\bar{c}X$ and ${\eta }_b+b\bar{b}X$ events can be produced when it works around the $Z$ peak. In this paper, we calculate the decay widths of $Z\to {\eta }_c+c+\bar{c}+X$ and $Z\to {\eta }_b+b+\bar{b}+X$ up to next-to-leading order (NLO) accuracy. We find that the NLO corrections are significant in these two processes. After including the NLO corrections, the decay widths of $Z\to {\eta }_c+c+\bar{c}+X$ and $Z\to {\eta }_b+b+\bar{b}+X$ are enhanced by about $37\%$ and $28\%$ for the case of ${\mu }_R=2m_c$ and ${\mu }_R=2m_b$, respectively. The differential decay widths $d\Gamma /d{s}_1$ and $d\Gamma /dz$ for these two decay processes are also analyzed.

10 pages, 11 figures

References in corpus (16)

• Heavy quarkonium: progress, puzzles, and opportunities
• Algorithm FIRE -- Feynman Integral REduction
• Eliminating the Renormalization Scale Ambiguity for Top-Pair Production Using the Principle of Maximum Conformality
• $Apart: A Generalized Mathematica Apart Function
• ${\eta }_c$ production at the LHC challenges nonrelativistic-QCD factorization
• Impact of ${\eta }_c$ hadroproduction data on charmonium production and polarization within NRQCD framework
• ${\eta }_c$ production at LHC and indications on the understanding of $J/\psi$ production
• Measurement of the e+e- -> J/psi ccbar cross section at \sqrt{s} ~10.6 GeV
• Rare exclusive decays of the Z-boson revisited
• The NLO fragmentation functions of heavy quarks into heavy quarkonia
• $Z$-boson decays to a vector quarkonium plus a photon
• Excited Heavy Quarkonium Production via Z^0 Decays at a High Luminosity Collider
• Fragmentation functions for a quark into a spin-singlet quarkonium: Different flavor case
• Comprehensive studies of ${\rm Y}$ inclusive production in $Z$ boson decay
• Inclusive production of heavy quarkonium ${\eta }_Q$ via $Z$ boson decays within the framework of nonrelativistic QCD
• Impact of $Z\to {\eta }_{c,b}+g+g$ on the inclusive ${\eta }_{c,b}$ meson yield in $Z$-boson decay

Cited by in corpus (1)

• Analysis of double-$J/\psi$ production in $Z$ decay at next-to-leading-order QCD accuracy