$B_c$ Meson Production around the $Z^0$ Peak at a High Luminosity $e^{+}{e}^{-}$ Collider

Abstract

Considering the possibility to build an $e^{+}{e}^{-}$ collider at the energies around the $Z^0$-boson resonance with a planned luminosity so high as $\mathcal{L}\propto 10^{34}\sim 10^{36}c{m}^{-2}{s}^{-1}$ (super $Z$-factory), we make a detailed discussion on the $(c\bar{b})$-quarkonium production through $e^{+}+e^{-}\to (c\bar{b})[n]+b+\bar{c}$ within the framework of non-relativistic QCD. To simplify the hard-scattering amplitude as much as possible and to derive analytic expressions for the purpose of future events simulation, we adopt the "improved trace technology" to do our calculation, which deals with the hard scattering amplitude directly at the amplitude level other than the conventional way at the squared-amplitude level. Total cross-section uncertainties caused by the quark masses are predicted by taking $m_c=1.50\pm 0.30$ GeV and $m_b=4.90\pm 0.40$ GeV. If all higher $(c\bar{b})$-quarkonium states decay to the ground state $B_c$ ($|(c\bar{b}{)}_1{[}^1{S}_0]>$) with 100% efficiency, we obtain ${\sigma }_{e^{+}+e^{-}\to B_c+b+\bar{c}}=5.190_{-2.419}^{+6.222}$ pb, which shows that about $10^5\sim 10^7$ $B_c$ events per operation year can be accumulated in the super $Z$-factory. If taking the collider energy runs slightly off the $Z^0$-peak, i.e. $\sqrt{S}=(1.00\pm 0.05)m_Z$, the total cross-section shall be lowered by about one-order from its peak value. Such a super $Z$-factory shall provide another useful platform to study the properties of $B_c$ meson, or even the properties of its excited $P$-wave states, in addition to its production at the hadronic colliders Tevatron and LHC.

13 pages, 6 figures and 4 tables. To be published in Phys.Rev.D

References in corpus (36)

• PYTHIA 6.4 Physics and Manual
• PYTHIA 6.2 Physics and Manual
• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Heavy quarkonium: progress, puzzles, and opportunities
• Mesons with Beauty and Charm: Spectroscopy
• Quarkonium Wave Functions at the Origin
• NLO Production and Decay of Quarkonium
• Observation of the B_c Meson in p-bar p Collisions at sqrt{s} = 1.8 TeV
• Observation of B_c Mesons in p-bar p Collisions at sqrt{s} = 1.8 TeV
• B decay and the Upsilon mass
• Perturbative QCD Fragmentation Functions for $B_c$ and $B_c^{\ast }$ Production
• Physics of B_c mesons
• BCVEGPY: An Event Generator for Hadronic Production of the B_c Meson
• Physics Impact of GigaZ
• On Hadronic Production of the $B_c$ Meson
• Physics Opportunities of e+e- Linear Colliders
• Uncertainties in Estimating Hadronic Production of the Meson B_c and Comparisons between TEVATRON and LHC
• BCVEGPY2.0: A upgrade version of the generator BCVEGPY with an addendum about hadroproduction of the $P$-wave $B_c$ states
• Color-Octet Quarkonium Production at the $Z$ Pole
• Spectrum for Heavy Quankonia and Mixture of the Relevant Wave Functions within the Framework of Bethe-Salpeter Equation
• The Color-Octet Contributions to $P$-wave $B_c$ Meson Hadroproduction
• An Upgraded Version of the Generator BCVEGPY2.0 for Hadronic Production of $B_c$ Meson and Its Excited States
• Hadronic Production of $B_c(B_c^{\ast })$ Meson Induced by the Heavy Quarks inside the Collision Hadrons
• Hadronic production of the $P$-wave excited $B_c$-states ($B_{cJ,L=1}^{\ast }$)
• Production of $B_c$ or ${\bar{B}}_c$ meson and its excited states via $\bar{t}$-quark or $t$-quark decays
• $Z_0$ Boson Decays to $B_c^{(\ast )}$ Meson and Its Uncertainties
• Production of the $P$-Wave Excited $B_c$-States through the $Z^0$ Boson Decays
• The NLO QCD Corrections to $B_c$ Meson Production in $Z^0$ Decays
• A Trick to Improve the Efficiency of Generating Unweighted $B_c$ Events from BCVEGPY
• W Boson Inclusive Decays to Quarkonium at the LHC
• Top Quark Decays into Heavy Quark Mesons
• Heavy Quarkonium Production at LHC through $W$ Boson Decays
• Uncertainties in Estimating the Indirect Production of $B_c$ and Its Excited States Via Top Quark Decays at CERN LHC
• Production of a Heavy Quarkonium with a Photon or via ISR at $Z$ Peak in $e^{+}{e}^{-}$ Collider
• The meson $B_c$ annihilation to leptons and inclusive light hadrons
• Heavy Quark Masses from the $Q\bar{Q}$ Threshold and the Upsilon Expansion

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