Impact of $Z\to {\eta }_{c,b}+g+g$ on the inclusive ${\eta }_{c,b}$ meson yield in $Z$-boson decay

Abstract

In this paper, we carry out the next-to-leading-order QCD corrections to $Z\to {\eta }_Q+g+g(Q=c,b)$ (labeled as $gg$) through the color-singlet (CS) state of $Q\bar{Q}{[}^1{S}_0^{[1]}]$, with the aim of assessing the impact of this process on $Z$ bosons decaying into inclusive ${\eta }_Q$. We find that the QCD corrections to the $gg$ process can notably enhance its leading-order results, especially for the ${\eta }_c$ case, which would then greatly increase the existing predictions of ${\Gamma }_{Z\to {\eta }_Q+X}$ given by the CS-dominant process $Z\to {\eta }_Q{[}^1{S}_0^{[1]}]+Q+\bar{Q}$. Moreover, with these significant QCD corrections, the $gg$ process would exert crucial influence on the CS-predicted ${\eta }_Q$ energy distributions. In conclusion, in the CS studies of $Z\to {\eta }_Q+X$, besides $Z\to {\eta }_Q{[}^1{S}_0^{[1]}]+Q+\bar{Q}$, $Z\to {\eta }_Q{[}^1{S}_0^{[1]}]+g+g$ can provide phenomenologically indispensable contributions as well.

arXiv comment17 pages, 5 figures, and 2 tables; accepted for publication in Physical Review D

References in corpus (51)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Automatized One-Loop Calculations in 4 and D dimensions
• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• Algorithm FIRE -- Feynman Integral REduction
• Quarkonium Wave Functions at the Origin
• NLO Production and Decay of Quarkonium
• The two cutoff phase space slicing method
• Z^0 Decay into Charmonium via Charm Quark Fragmentation
• Observation of the bottomonium ground state in the decay Upsilon(3S) -> gamma eta_b
• New Observables in Inclusive Production of Quarkonia
• $Apart: A Generalized Mathematica Apart Function
• ${\eta }_c$ production at the LHC challenges nonrelativistic-QCD factorization
• Progress in FDC Project
• Impact of ${\eta }_c$ hadroproduction data on charmonium production and polarization within NRQCD framework
• Measurement of the ${\eta }_c(1S)$ production cross-section in proton-proton collisions via the decay ${\eta }_c(1S)\to p\bar{p}$
• ${\eta }_c$ production at LHC and indications on the understanding of $J/\psi$ production
• Evidence for the eta_b(1S) Meson in Radiative Upsilon(2S) Decay
• Evidence for the eta_b(2S) and observation of h_b(1P) -> eta_b(1S) gamma and h_b(2P) -> eta_b(1S) gamma
• Color-Octet Quarkonium Production at the $Z$ Pole
• Search for Higgs and $Z$ Boson Decays to $J/\psi \gamma$ and ${\rm Y}(nS)\gamma$ with the ATLAS Detector
• Measurement of the eta_b(1S) mass and the branching fraction for Upsilon(3S) --> gamma eta_b(1S)
• Prompt Upsilon and Psi Production at LEP
• Searches for exclusive Higgs and $Z$ boson decays into $J/\psi \gamma$, $\psi (2S)\gamma$, and ${\rm Y}(nS)\gamma$ at $\sqrt{s}=13$ TeV with the ATLAS detector
• Are there any challenges in the charmonia production and polarization at the LHC?
• Rare exclusive decays of the Z-boson revisited
• A Crucial Test for Color-Octet Production Mechanism in Z^0 Decays
• $Z_0$ Boson Decays to $B_c^{(\ast )}$ Meson and Its Uncertainties
• Search for rare decays of Z and Higgs bosons to J$/\psi$ and a photon in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Production of the $P$-Wave Excited $B_c$-States through the $Z^0$ Boson Decays
• ${\eta }_c^{\prime }$ Hadroproduction at Next-to-Leading Order and its Relevance to ${\psi }^{\prime }$ Production
• The NLO QCD Corrections to $B_c$ Meson Production in $Z^0$ Decays
• $Z$-boson decays to a vector quarkonium plus a photon
• eta_c production at the Large Hadron Collider
• Phenomenological NLO analysis of eta(c) production at the LHC in the collider and fixed-target modes
• Curing the unphysical behaviour of NLO quarkonium production at the LHC and its relevance to constrain the gluon PDF at low scales
• The QCD NLO Corrections to Inclusive $B_c^{\ast }$ Production in $Z^0$ Decays
• J/psi Production at LEP: Revisited and Resummed
• Prompt hadroproduction of ${\eta }_c(1S,2S)$ in the $k_T$-factorization approach
• Electromagnetic Production of Quarkonium in $Z^0$ decay
• Excited Heavy Quarkonium Production via Z^0 Decays at a High Luminosity Collider
• Production of ${\eta }_Q$ meson at LHC
• The next-to-leading-order QCD correction to inclusive J/ψ(Υ) production in Z^0 decay
• Prompt Charmonium Production in Z Decays
• Double Charmonia Production in Exclusive $Z$ Boson Decays
• Color-octet heavy quarkonium productions in Z0 decays at LEP
• Pseudoscalar Quarkonium+gamma Production at NLL+NLO accuracy
• Hard diffractive ${\eta }_{\mathrm{c},\mathrm{b}}$ hadroproduction at the LHC
• Next-to-leading-order QCD corrections to the decay of $Z$ boson into ${\chi }_c({\chi }_b)$
• The studies on $Z\to {\rm Y}(1S)+g+g$ at the next-to-leading-order QCD accuracy
• 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

Cited by in corpus (1)

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